R-Data-Wrangling.ipynb

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    "colab": {
      "name": "DATA422_Assignment2-R.ipynb",
      "provenance": [],
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    }
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  "cells": [
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "7b0_d5ZYTIfI"
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      "source": [
        "# Data 422\n",
        "\n",
        "Data Wrangling, S2 2019\n",
        "\n",
        "## Assignement 2"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "MErY_bvcTIfM"
      },
      "source": [
        "Haoyang Chen"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "PjwJeACeTIfN"
      },
      "source": [
        "### Task (a): scrape data from websites\n"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "q4n0hCjgTIfN"
      },
      "source": [
        "In this Assignment, We chose to scrape mobile phone sale data from the website of pbtech, a NZ computing and I.T. retailer."
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "ewZAzpI9TIfN"
      },
      "source": [
        "#load required libraries\n",
        "library(tidyverse)\n",
        "library(magrittr) # better handling of pipes\n",
        "library(purrr) # to work with lists and map functions\n",
        "library(glue) # to paste strings\n",
        "library(stringr) # to hand strings\n",
        "library(rvest) # web scraping library"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "SgPg83K5TIfN"
      },
      "source": [
        "#the url of the mobile phone sale page\n",
        "url_titles <- \"https://www.pbtech.co.nz/category/phones-gps/smartphones/shop-all\"\n",
        "# read the url into r\n",
        "page_name <- read_html(url_titles)\n",
        "\n",
        "#extract the name of each mobile phone models\n",
        "name_list <- page_name %>%\n",
        "  html_nodes(\".item_description .item_line_name\") %>%\n",
        "  html_attr(\"title\")\n",
        "\n",
        "#extract the url for the webpage of each phone\n",
        "link_list <- page_name %>%\n",
        "  html_nodes(\".item_description .item_line_name\") %>%\n",
        "  html_attr(\"href\")\n",
        "\n",
        "#extract a list of mobile phone price\n",
        "price_list <- page_name %>%\n",
        "  html_nodes(\".ginc .price_full \") %>%\n",
        "  html_text()\n",
        "\n",
        "# The function used to extract mobile phone brand and screen size\n",
        "# The information is extracted from the sale page of each mobile phone\n",
        "get_brand_screen <- function(link){\n",
        "#Use glue to get the full url of each mobile phone page\n",
        "  phone_page <- glue(\"https://www.pbtech.co.nz/{link}\") %>%\n",
        "  read_html()\n",
        "  \n",
        "  brand <- phone_page %>% \n",
        "  html_nodes(\".infoContainer .p_codes_list_new .pblink\") %>%\n",
        "  html_text()\n",
        "  \n",
        "  screen_text <- phone_page %>% \n",
        "  html_nodes(xpath = '//*[@id=\"configurable_products_form\"]/ul/li[1]') %>%\n",
        "  html_text()\n",
        "  brand_screen_list <- c(brand, screen_text)\n",
        "  return(brand_screen_list)\n",
        "}\n",
        "\n",
        "# return a list of phone brand and screen size for each moblie phone from their detailed sale page.\n",
        "Brand_screen_list <- map(link_list, get_brand_screen)"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "H-0QzjyqTIfO",
        "outputId": "ff77afb2-0233-48e2-c9fb-ad6c0f2cc81a"
      },
      "source": [
        "#Let's check if we got the expected results\n",
        "head(name_list)\n",
        "head(link_list)\n",
        "head(price_list)\n",
        "head(Brand_screen_list)"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/html": [
              "<ol class=list-inline>\n",
              "\t<li>'Xiaomi Redmi Note 7 Dual SIM Smartphone 64GB Neptune Blue - Special Global Edition with Band 28 700MHz for full NZ mobile network compatibility'</li>\n",
              "\t<li>'Samsung Galaxy A10 (2019) Smartphone 32GB Black 2 Year Warranty'</li>\n",
              "\t<li>'Xiaomi Mi 9T (K20) Dual SIM Smartphone 6GB+128GB Glacier Blue - Global Version - 2 Year Warranty'</li>\n",
              "\t<li>'OPPO AX5 Dual SIM Smartphone 64GB - Diamond Blue 2 Years Warranty'</li>\n",
              "\t<li>'Huawei Y5 2019 Smartphone 32GB - Amber Brown - 2 Year Warranty'</li>\n",
              "\t<li>'OnePlus 6T 8GB+128GB Dual SIM Smartphone - Mirror Black - Global Version - Oxygen OS. 2 Year Warranty. Parallel Imported.'</li>\n",
              "</ol>\n"
            ],
            "text/latex": "\\begin{enumerate*}\n\\item 'Xiaomi Redmi Note 7 Dual SIM Smartphone 64GB Neptune Blue - Special Global Edition with Band 28 700MHz for full NZ mobile network compatibility'\n\\item 'Samsung Galaxy A10 (2019) Smartphone 32GB Black 2 Year Warranty'\n\\item 'Xiaomi Mi 9T (K20) Dual SIM Smartphone 6GB+128GB Glacier Blue - Global Version - 2 Year Warranty'\n\\item 'OPPO AX5 Dual SIM Smartphone 64GB - Diamond Blue 2 Years Warranty'\n\\item 'Huawei Y5 2019 Smartphone 32GB - Amber Brown - 2 Year Warranty'\n\\item 'OnePlus 6T 8GB+128GB Dual SIM Smartphone - Mirror Black - Global Version - Oxygen OS. 2 Year Warranty. Parallel Imported.'\n\\end{enumerate*}\n",
            "text/markdown": "1. 'Xiaomi Redmi Note 7 Dual SIM Smartphone 64GB Neptune Blue - Special Global Edition with Band 28 700MHz for full NZ mobile network compatibility'\n2. 'Samsung Galaxy A10 (2019) Smartphone 32GB Black 2 Year Warranty'\n3. 'Xiaomi Mi 9T (K20) Dual SIM Smartphone 6GB+128GB Glacier Blue - Global Version - 2 Year Warranty'\n4. 'OPPO AX5 Dual SIM Smartphone 64GB - Diamond Blue 2 Years Warranty'\n5. 'Huawei Y5 2019 Smartphone 32GB - Amber Brown - 2 Year Warranty'\n6. 'OnePlus 6T 8GB+128GB Dual SIM Smartphone - Mirror Black - Global Version - Oxygen OS. 2 Year Warranty. Parallel Imported.'\n\n\n",
            "text/plain": [
              "[1] \"Xiaomi Redmi Note 7 Dual SIM Smartphone 64GB Neptune Blue - Special Global Edition with Band 28 700MHz for full NZ mobile network compatibility\"\n",
              "[2] \"Samsung Galaxy A10 (2019) Smartphone 32GB Black 2 Year Warranty\"                                                                                \n",
              "[3] \"Xiaomi Mi 9T (K20) Dual SIM Smartphone 6GB+128GB Glacier Blue - Global Version - 2 Year Warranty\"                                               \n",
              "[4] \"OPPO AX5 Dual SIM Smartphone 64GB - Diamond Blue 2 Years Warranty\"                                                                              \n",
              "[5] \"Huawei Y5 2019 Smartphone 32GB - Amber Brown - 2 Year Warranty\"                                                                                 \n",
              "[6] \"OnePlus 6T 8GB+128GB Dual SIM Smartphone - Mirror Black - Global Version - Oxygen OS. 2 Year Warranty. Parallel Imported.\"                      "
            ]
          },
          "metadata": {
            "tags": []
          }
        },
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          "output_type": "display_data",
          "data": {
            "text/html": [
              "<ol class=list-inline>\n",
              "\t<li>'product/MPHMIX017101/Xiaomi-Redmi-Note-7-Dual-SIM-Smartphone-64GB-Neptu'</li>\n",
              "\t<li>'product/MPHSAM21000/Samsung-Galaxy-A10-2019-Smartphone-32GB-Black-2-Ye'</li>\n",
              "\t<li>'product/MPHMIX039201/Xiaomi-Mi-9T-K20-Dual-SIM-Smartphone-6GB128GB-Glac'</li>\n",
              "\t<li>'product/MPHOPP018510/OPPO-AX5-Dual-SIM-Smartphone-64GB---Diamond-Blue-2'</li>\n",
              "\t<li>'product/MPHHUA71519020/Huawei-Y5-2019-Smartphone-32GB---Amber-Brown---2-Y'</li>\n",
              "\t<li>'product/MPHOPL061010I/OnePlus-6T-8GB128GB-Dual-SIM-Smartphone---Mirror-B'</li>\n",
              "</ol>\n"
            ],
            "text/latex": "\\begin{enumerate*}\n\\item 'product/MPHMIX017101/Xiaomi-Redmi-Note-7-Dual-SIM-Smartphone-64GB-Neptu'\n\\item 'product/MPHSAM21000/Samsung-Galaxy-A10-2019-Smartphone-32GB-Black-2-Ye'\n\\item 'product/MPHMIX039201/Xiaomi-Mi-9T-K20-Dual-SIM-Smartphone-6GB128GB-Glac'\n\\item 'product/MPHOPP018510/OPPO-AX5-Dual-SIM-Smartphone-64GB---Diamond-Blue-2'\n\\item 'product/MPHHUA71519020/Huawei-Y5-2019-Smartphone-32GB---Amber-Brown---2-Y'\n\\item 'product/MPHOPL061010I/OnePlus-6T-8GB128GB-Dual-SIM-Smartphone---Mirror-B'\n\\end{enumerate*}\n",
            "text/markdown": "1. 'product/MPHMIX017101/Xiaomi-Redmi-Note-7-Dual-SIM-Smartphone-64GB-Neptu'\n2. 'product/MPHSAM21000/Samsung-Galaxy-A10-2019-Smartphone-32GB-Black-2-Ye'\n3. 'product/MPHMIX039201/Xiaomi-Mi-9T-K20-Dual-SIM-Smartphone-6GB128GB-Glac'\n4. 'product/MPHOPP018510/OPPO-AX5-Dual-SIM-Smartphone-64GB---Diamond-Blue-2'\n5. 'product/MPHHUA71519020/Huawei-Y5-2019-Smartphone-32GB---Amber-Brown---2-Y'\n6. 'product/MPHOPL061010I/OnePlus-6T-8GB128GB-Dual-SIM-Smartphone---Mirror-B'\n\n\n",
            "text/plain": [
              "[1] \"product/MPHMIX017101/Xiaomi-Redmi-Note-7-Dual-SIM-Smartphone-64GB-Neptu\"  \n",
              "[2] \"product/MPHSAM21000/Samsung-Galaxy-A10-2019-Smartphone-32GB-Black-2-Ye\"   \n",
              "[3] \"product/MPHMIX039201/Xiaomi-Mi-9T-K20-Dual-SIM-Smartphone-6GB128GB-Glac\"  \n",
              "[4] \"product/MPHOPP018510/OPPO-AX5-Dual-SIM-Smartphone-64GB---Diamond-Blue-2\"  \n",
              "[5] \"product/MPHHUA71519020/Huawei-Y5-2019-Smartphone-32GB---Amber-Brown---2-Y\"\n",
              "[6] \"product/MPHOPL061010I/OnePlus-6T-8GB128GB-Dual-SIM-Smartphone---Mirror-B\" "
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "text/html": [
              "<ol class=list-inline>\n",
              "\t<li>'$398.99'</li>\n",
              "\t<li>'$262.99'</li>\n",
              "\t<li>'$598.99'</li>\n",
              "\t<li>'$278.99'</li>\n",
              "\t<li>'$199.00'</li>\n",
              "\t<li>'$799.00'</li>\n",
              "</ol>\n"
            ],
            "text/latex": "\\begin{enumerate*}\n\\item '\\$398.99'\n\\item '\\$262.99'\n\\item '\\$598.99'\n\\item '\\$278.99'\n\\item '\\$199.00'\n\\item '\\$799.00'\n\\end{enumerate*}\n",
            "text/markdown": "1. '$398.99'\n2. '$262.99'\n3. '$598.99'\n4. '$278.99'\n5. '$199.00'\n6. '$799.00'\n\n\n",
            "text/plain": [
              "[1] \"$398.99\" \"$262.99\" \"$598.99\" \"$278.99\" \"$199.00\" \"$799.00\""
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "text/html": [
              "<ol>\n",
              "\t<li><ol class=list-inline>\n",
              "\t<li>'Xiaomi'</li>\n",
              "\t<li>'Screen Size:6 inches'</li>\n",
              "</ol>\n",
              "</li>\n",
              "\t<li><ol class=list-inline>\n",
              "\t<li>'Samsung'</li>\n",
              "\t<li>'Screen Size:6.2 inches'</li>\n",
              "</ol>\n",
              "</li>\n",
              "\t<li><ol class=list-inline>\n",
              "\t<li>'Xiaomi'</li>\n",
              "\t<li>'Screen Size:6.39 inches'</li>\n",
              "</ol>\n",
              "</li>\n",
              "\t<li><ol class=list-inline>\n",
              "\t<li>'OPPO'</li>\n",
              "\t<li>'Screen Size:6.2 inches'</li>\n",
              "</ol>\n",
              "</li>\n",
              "\t<li><ol class=list-inline>\n",
              "\t<li>'Huawei'</li>\n",
              "\t<li>'Screen Size:5 inches'</li>\n",
              "</ol>\n",
              "</li>\n",
              "\t<li><ol class=list-inline>\n",
              "\t<li>'OnePlus'</li>\n",
              "\t<li>'Screen Size:6.4 inches'</li>\n",
              "</ol>\n",
              "</li>\n",
              "</ol>\n"
            ],
            "text/latex": "\\begin{enumerate}\n\\item \\begin{enumerate*}\n\\item 'Xiaomi'\n\\item 'Screen Size:6 inches'\n\\end{enumerate*}\n\n\\item \\begin{enumerate*}\n\\item 'Samsung'\n\\item 'Screen Size:6.2 inches'\n\\end{enumerate*}\n\n\\item \\begin{enumerate*}\n\\item 'Xiaomi'\n\\item 'Screen Size:6.39 inches'\n\\end{enumerate*}\n\n\\item \\begin{enumerate*}\n\\item 'OPPO'\n\\item 'Screen Size:6.2 inches'\n\\end{enumerate*}\n\n\\item \\begin{enumerate*}\n\\item 'Huawei'\n\\item 'Screen Size:5 inches'\n\\end{enumerate*}\n\n\\item \\begin{enumerate*}\n\\item 'OnePlus'\n\\item 'Screen Size:6.4 inches'\n\\end{enumerate*}\n\n\\end{enumerate}\n",
            "text/markdown": "1. 1. 'Xiaomi'\n2. 'Screen Size:6 inches'\n\n\n\n2. 1. 'Samsung'\n2. 'Screen Size:6.2 inches'\n\n\n\n3. 1. 'Xiaomi'\n2. 'Screen Size:6.39 inches'\n\n\n\n4. 1. 'OPPO'\n2. 'Screen Size:6.2 inches'\n\n\n\n5. 1. 'Huawei'\n2. 'Screen Size:5 inches'\n\n\n\n6. 1. 'OnePlus'\n2. 'Screen Size:6.4 inches'\n\n\n\n\n\n",
            "text/plain": [
              "[[1]]\n",
              "[1] \"Xiaomi\"               \"Screen Size:6 inches\"\n",
              "\n",
              "[[2]]\n",
              "[1] \"Samsung\"                \"Screen Size:6.2 inches\"\n",
              "\n",
              "[[3]]\n",
              "[1] \"Xiaomi\"                  \"Screen Size:6.39 inches\"\n",
              "\n",
              "[[4]]\n",
              "[1] \"OPPO\"                   \"Screen Size:6.2 inches\"\n",
              "\n",
              "[[5]]\n",
              "[1] \"Huawei\"               \"Screen Size:5 inches\"\n",
              "\n",
              "[[6]]\n",
              "[1] \"OnePlus\"                \"Screen Size:6.4 inches\"\n"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "D1346hdXTIfO"
      },
      "source": [
        "Our code works as expected. We successfully scrape the html into R."
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "6UUuruPtTIfO"
      },
      "source": [
        "### Task (b): wrangle it\n",
        "\n",
        "\n",
        "Working on the page from task (a), transform the data you collected into relational data model."
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "2D774tYrTIfP",
        "outputId": "efa9d0fd-e62c-40c0-83fe-b3f2f554815e"
      },
      "source": [
        "#The price list from take a is in messy format, we need to remove the dollar sign and the comma\n",
        "#remove dollar sign\n",
        "price_nosign <- regmatches(price_list,regexpr(\"(?<=\\\\$)(.*)\",price_list, perl = TRUE))\n",
        "#remove comma and convert it into numeric type\n",
        "price_num <- sub(\",\",\"\",price_nosign) %>% as.numeric()\n",
        "head(price_num)"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/html": [
              "<ol class=list-inline>\n",
              "\t<li>398.99</li>\n",
              "\t<li>262.99</li>\n",
              "\t<li>598.99</li>\n",
              "\t<li>199</li>\n",
              "\t<li>278.99</li>\n",
              "\t<li>799</li>\n",
              "</ol>\n"
            ],
            "text/latex": "\\begin{enumerate*}\n\\item 398.99\n\\item 262.99\n\\item 598.99\n\\item 199\n\\item 278.99\n\\item 799\n\\end{enumerate*}\n",
            "text/markdown": "1. 398.99\n2. 262.99\n3. 598.99\n4. 199\n5. 278.99\n6. 799\n\n\n",
            "text/plain": [
              "[1] 398.99 262.99 598.99 199.00 278.99 799.00"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "9hkn3oIITIfP",
        "outputId": "239627f3-94e4-4fe0-e7ec-6b905c25e5b5"
      },
      "source": [
        "# We need to seperate the brand and screen data from the Brand_screen_list\n",
        "brand <- c()\n",
        "screen <- c()\n",
        "for (record in Brand_screen_list){\n",
        "  brand <- c(brand,record[1])\n",
        "  screen <- c(screen,record[2])\n",
        "}\n",
        "\n",
        "head(brand)\n",
        "head(screen)"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/html": [
              "<ol class=list-inline>\n",
              "\t<li>'Xiaomi'</li>\n",
              "\t<li>'Samsung'</li>\n",
              "\t<li>'Xiaomi'</li>\n",
              "\t<li>'Huawei'</li>\n",
              "\t<li>'OPPO'</li>\n",
              "\t<li>'OnePlus'</li>\n",
              "</ol>\n"
            ],
            "text/latex": "\\begin{enumerate*}\n\\item 'Xiaomi'\n\\item 'Samsung'\n\\item 'Xiaomi'\n\\item 'Huawei'\n\\item 'OPPO'\n\\item 'OnePlus'\n\\end{enumerate*}\n",
            "text/markdown": "1. 'Xiaomi'\n2. 'Samsung'\n3. 'Xiaomi'\n4. 'Huawei'\n5. 'OPPO'\n6. 'OnePlus'\n\n\n",
            "text/plain": [
              "[1] \"Xiaomi\"  \"Samsung\" \"Xiaomi\"  \"Huawei\"  \"OPPO\"    \"OnePlus\""
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "text/html": [
              "<ol class=list-inline>\n",
              "\t<li>'Screen Size:6 inches'</li>\n",
              "\t<li>'Screen Size:6.2 inches'</li>\n",
              "\t<li>'Screen Size:6.39 inches'</li>\n",
              "\t<li>'Screen Size:5 inches'</li>\n",
              "\t<li>'Screen Size:6.2 inches'</li>\n",
              "\t<li>'Screen Size:6.4 inches'</li>\n",
              "</ol>\n"
            ],
            "text/latex": "\\begin{enumerate*}\n\\item 'Screen Size:6 inches'\n\\item 'Screen Size:6.2 inches'\n\\item 'Screen Size:6.39 inches'\n\\item 'Screen Size:5 inches'\n\\item 'Screen Size:6.2 inches'\n\\item 'Screen Size:6.4 inches'\n\\end{enumerate*}\n",
            "text/markdown": "1. 'Screen Size:6 inches'\n2. 'Screen Size:6.2 inches'\n3. 'Screen Size:6.39 inches'\n4. 'Screen Size:5 inches'\n5. 'Screen Size:6.2 inches'\n6. 'Screen Size:6.4 inches'\n\n\n",
            "text/plain": [
              "[1] \"Screen Size:6 inches\"    \"Screen Size:6.2 inches\" \n",
              "[3] \"Screen Size:6.39 inches\" \"Screen Size:5 inches\"   \n",
              "[5] \"Screen Size:6.2 inches\"  \"Screen Size:6.4 inches\" "
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "YzUiNTUzTIfP",
        "outputId": "ee047a8b-cb1d-4b77-fcf1-56e025c1cffb"
      },
      "source": [
        "# We want the screen size data in numeric format not a line of text\n",
        "#Frist use regular express to capture screen size in the middle of each records \n",
        "r <- regexpr(\"(?<=Screen Size:)(.*)(?= inches)\",screen, perl = TRUE)\n",
        "#set the screen size to -1 if data is NA\n",
        "r <- replace(r, is.na(r), -1)\n",
        "#create an empty container with NA\n",
        "screen_num <- rep(NA, length(screen))\n",
        "#fill the container with the screen size data\n",
        "screen_num[r!=-1] <- regmatches(screen, r) %>% as.numeric()\n",
        "head(screen_num)"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/html": [
              "<ol class=list-inline>\n",
              "\t<li>6</li>\n",
              "\t<li>6.2</li>\n",
              "\t<li>6.39</li>\n",
              "\t<li>5</li>\n",
              "\t<li>6.2</li>\n",
              "\t<li>6.4</li>\n",
              "</ol>\n"
            ],
            "text/latex": "\\begin{enumerate*}\n\\item 6\n\\item 6.2\n\\item 6.39\n\\item 5\n\\item 6.2\n\\item 6.4\n\\end{enumerate*}\n",
            "text/markdown": "1. 6\n2. 6.2\n3. 6.39\n4. 5\n5. 6.2\n6. 6.4\n\n\n",
            "text/plain": [
              "[1] 6.00 6.20 6.39 5.00 6.20 6.40"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "3E5C9vALTIfP",
        "outputId": "fa9461ed-f48c-4ac8-c852-bb37ead12142"
      },
      "source": [
        "#Put all the data together into a dataframe\n",
        "#We generated a dataframe with 5 columns\n",
        "PB_df <- data.frame(Name = name_list, #name of the phone model\n",
        "                    Link = link_list, #sale page url of each phone\n",
        "                    Price = price_num, #price of phone in NZD\n",
        "                    Brand = brand, \n",
        "                    Screen_size = screen_num) #screen size in inches\n",
        "head(PB_df)"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/html": [
              "<table>\n",
              "<caption>A data.frame: 6 × 5</caption>\n",
              "<thead>\n",
              "\t<tr><th scope=col>Name</th><th scope=col>Link</th><th scope=col>Price</th><th scope=col>Brand</th><th scope=col>Screen_size</th></tr>\n",
              "\t<tr><th scope=col>&lt;fct&gt;</th><th scope=col>&lt;fct&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;fct&gt;</th><th scope=col>&lt;dbl&gt;</th></tr>\n",
              "</thead>\n",
              "<tbody>\n",
              "\t<tr><td>Xiaomi Redmi Note 7 Dual SIM Smartphone 64GB Neptune Blue - Special Global Edition with Band 28 700MHz for full NZ mobile network compatibility</td><td>product/MPHMIX017101/Xiaomi-Redmi-Note-7-Dual-SIM-Smartphone-64GB-Neptu  </td><td>398.99</td><td>Xiaomi </td><td>6.00</td></tr>\n",
              "\t<tr><td>Samsung Galaxy A10 (2019) Smartphone 32GB Black 2 Year Warranty                                                                                </td><td>product/MPHSAM21000/Samsung-Galaxy-A10-2019-Smartphone-32GB-Black-2-Ye   </td><td>262.99</td><td>Samsung</td><td>6.20</td></tr>\n",
              "\t<tr><td>Xiaomi Mi 9T (K20) Dual SIM Smartphone 6GB+128GB Glacier Blue - Global Version - 2 Year Warranty                                               </td><td>product/MPHMIX039201/Xiaomi-Mi-9T-K20-Dual-SIM-Smartphone-6GB128GB-Glac  </td><td>598.99</td><td>Xiaomi </td><td>6.39</td></tr>\n",
              "\t<tr><td>Huawei Y5 2019 Smartphone 32GB - Amber Brown - 2 Year Warranty                                                                                 </td><td>product/MPHHUA71519020/Huawei-Y5-2019-Smartphone-32GB---Amber-Brown---2-Y</td><td>199.00</td><td>Huawei </td><td>5.00</td></tr>\n",
              "\t<tr><td>OPPO AX5 Dual SIM Smartphone 64GB - Diamond Blue 2 Years Warranty                                                                              </td><td>product/MPHOPP018510/OPPO-AX5-Dual-SIM-Smartphone-64GB---Diamond-Blue-2  </td><td>278.99</td><td>OPPO   </td><td>6.20</td></tr>\n",
              "\t<tr><td>OnePlus 6T 8GB+128GB Dual SIM Smartphone - Mirror Black - Global Version - Oxygen OS. 2 Year Warranty. Parallel Imported.                      </td><td>product/MPHOPL061010I/OnePlus-6T-8GB128GB-Dual-SIM-Smartphone---Mirror-B </td><td>799.00</td><td>OnePlus</td><td>6.40</td></tr>\n",
              "</tbody>\n",
              "</table>\n"
            ],
            "text/latex": "A data.frame: 6 × 5\n\\begin{tabular}{r|lllll}\n Name & Link & Price & Brand & Screen\\_size\\\\\n <fct> & <fct> & <dbl> & <fct> & <dbl>\\\\\n\\hline\n\t Xiaomi Redmi Note 7 Dual SIM Smartphone 64GB Neptune Blue - Special Global Edition with Band 28 700MHz for full NZ mobile network compatibility & product/MPHMIX017101/Xiaomi-Redmi-Note-7-Dual-SIM-Smartphone-64GB-Neptu   & 398.99 & Xiaomi  & 6.00\\\\\n\t Samsung Galaxy A10 (2019) Smartphone 32GB Black 2 Year Warranty                                                                                 & product/MPHSAM21000/Samsung-Galaxy-A10-2019-Smartphone-32GB-Black-2-Ye    & 262.99 & Samsung & 6.20\\\\\n\t Xiaomi Mi 9T (K20) Dual SIM Smartphone 6GB+128GB Glacier Blue - Global Version - 2 Year Warranty                                                & product/MPHMIX039201/Xiaomi-Mi-9T-K20-Dual-SIM-Smartphone-6GB128GB-Glac   & 598.99 & Xiaomi  & 6.39\\\\\n\t Huawei Y5 2019 Smartphone 32GB - Amber Brown - 2 Year Warranty                                                                                  & product/MPHHUA71519020/Huawei-Y5-2019-Smartphone-32GB---Amber-Brown---2-Y & 199.00 & Huawei  & 5.00\\\\\n\t OPPO AX5 Dual SIM Smartphone 64GB - Diamond Blue 2 Years Warranty                                                                               & product/MPHOPP018510/OPPO-AX5-Dual-SIM-Smartphone-64GB---Diamond-Blue-2   & 278.99 & OPPO    & 6.20\\\\\n\t OnePlus 6T 8GB+128GB Dual SIM Smartphone - Mirror Black - Global Version - Oxygen OS. 2 Year Warranty. Parallel Imported.                       & product/MPHOPL061010I/OnePlus-6T-8GB128GB-Dual-SIM-Smartphone---Mirror-B  & 799.00 & OnePlus & 6.40\\\\\n\\end{tabular}\n",
            "text/markdown": "\nA data.frame: 6 × 5\n\n| Name &lt;fct&gt; | Link &lt;fct&gt; | Price &lt;dbl&gt; | Brand &lt;fct&gt; | Screen_size &lt;dbl&gt; |\n|---|---|---|---|---|\n| Xiaomi Redmi Note 7 Dual SIM Smartphone 64GB Neptune Blue - Special Global Edition with Band 28 700MHz for full NZ mobile network compatibility | product/MPHMIX017101/Xiaomi-Redmi-Note-7-Dual-SIM-Smartphone-64GB-Neptu   | 398.99 | Xiaomi  | 6.00 |\n| Samsung Galaxy A10 (2019) Smartphone 32GB Black 2 Year Warranty                                                                                 | product/MPHSAM21000/Samsung-Galaxy-A10-2019-Smartphone-32GB-Black-2-Ye    | 262.99 | Samsung | 6.20 |\n| Xiaomi Mi 9T (K20) Dual SIM Smartphone 6GB+128GB Glacier Blue - Global Version - 2 Year Warranty                                                | product/MPHMIX039201/Xiaomi-Mi-9T-K20-Dual-SIM-Smartphone-6GB128GB-Glac   | 598.99 | Xiaomi  | 6.39 |\n| Huawei Y5 2019 Smartphone 32GB - Amber Brown - 2 Year Warranty                                                                                  | product/MPHHUA71519020/Huawei-Y5-2019-Smartphone-32GB---Amber-Brown---2-Y | 199.00 | Huawei  | 5.00 |\n| OPPO AX5 Dual SIM Smartphone 64GB - Diamond Blue 2 Years Warranty                                                                               | product/MPHOPP018510/OPPO-AX5-Dual-SIM-Smartphone-64GB---Diamond-Blue-2   | 278.99 | OPPO    | 6.20 |\n| OnePlus 6T 8GB+128GB Dual SIM Smartphone - Mirror Black - Global Version - Oxygen OS. 2 Year Warranty. Parallel Imported.                       | product/MPHOPL061010I/OnePlus-6T-8GB128GB-Dual-SIM-Smartphone---Mirror-B  | 799.00 | OnePlus | 6.40 |\n\n",
            "text/plain": [
              "  Name                                                                                                                                           \n",
              "1 Xiaomi Redmi Note 7 Dual SIM Smartphone 64GB Neptune Blue - Special Global Edition with Band 28 700MHz for full NZ mobile network compatibility\n",
              "2 Samsung Galaxy A10 (2019) Smartphone 32GB Black 2 Year Warranty                                                                                \n",
              "3 Xiaomi Mi 9T (K20) Dual SIM Smartphone 6GB+128GB Glacier Blue - Global Version - 2 Year Warranty                                               \n",
              "4 Huawei Y5 2019 Smartphone 32GB - Amber Brown - 2 Year Warranty                                                                                 \n",
              "5 OPPO AX5 Dual SIM Smartphone 64GB - Diamond Blue 2 Years Warranty                                                                              \n",
              "6 OnePlus 6T 8GB+128GB Dual SIM Smartphone - Mirror Black - Global Version - Oxygen OS. 2 Year Warranty. Parallel Imported.                      \n",
              "  Link                                                                     \n",
              "1 product/MPHMIX017101/Xiaomi-Redmi-Note-7-Dual-SIM-Smartphone-64GB-Neptu  \n",
              "2 product/MPHSAM21000/Samsung-Galaxy-A10-2019-Smartphone-32GB-Black-2-Ye   \n",
              "3 product/MPHMIX039201/Xiaomi-Mi-9T-K20-Dual-SIM-Smartphone-6GB128GB-Glac  \n",
              "4 product/MPHHUA71519020/Huawei-Y5-2019-Smartphone-32GB---Amber-Brown---2-Y\n",
              "5 product/MPHOPP018510/OPPO-AX5-Dual-SIM-Smartphone-64GB---Diamond-Blue-2  \n",
              "6 product/MPHOPL061010I/OnePlus-6T-8GB128GB-Dual-SIM-Smartphone---Mirror-B \n",
              "  Price  Brand   Screen_size\n",
              "1 398.99 Xiaomi  6.00       \n",
              "2 262.99 Samsung 6.20       \n",
              "3 598.99 Xiaomi  6.39       \n",
              "4 199.00 Huawei  5.00       \n",
              "5 278.99 OPPO    6.20       \n",
              "6 799.00 OnePlus 6.40       "
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "zkBgxxrHTIfQ"
      },
      "source": [
        "### Task (c): automate it\n",
        "\n",
        "Now it's the time to scrape everything else in the website. Turn your code for tasks (a) and (b) into a function and using `purrr` (and its `map_` functions, possibly in combination with `possibly`) apply that function to all the pages."
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "40YDKO1QTIfQ"
      },
      "source": [
        "#combine our code into a function\n",
        "#They are multiple pages in the website, the page argument let you deside how many pages you want to scrape\n",
        "get_phones <- function(page){\n",
        "  \n",
        "Name_link_price_list <- list()\n",
        "\n",
        "for (pagination in 1:page){\n",
        "  url_titles <- glue(\"https://www.pbtech.co.nz/category/phones-gps/smartphones/shop-all?pg={pagination}#sort_group_form\")\n",
        "\n",
        "  page_name <- read_html(url_titles)\n",
        "  # the following code extract the name, link and price of each phone from the main page and combine them into a list\n",
        "  name_list <- page_name %>%\n",
        "  html_nodes(\".item_description .item_line_name\") %>%\n",
        "  html_attr(\"title\")\n",
        "  \n",
        "  link_list <- page_name %>%\n",
        "  html_nodes(\".item_description .item_line_name\") %>%\n",
        "  html_attr(\"href\")\n",
        "  \n",
        "  price_list <- page_name %>%\n",
        "  html_nodes(\".ginc .price_full \") %>%\n",
        "  html_text()\n",
        "  \n",
        "  Name_link_price_list <- c(Name_link_price_list,list(c(name_list, link_list, price_list)))\n",
        "}\n",
        "\n",
        "# seperate the name, link and price data\n",
        "name <- c()\n",
        "link <- c()\n",
        "price <- c()\n",
        "for (record in Name_link_price_list){\n",
        "  name <- c(name,record[1:48])\n",
        "  link <- c(link,record[49:96])\n",
        "  price <- c(price,record[97:144])\n",
        "}\n",
        "\n",
        "#convert the price into clean format use regular expression as mentioned before\n",
        "price_nosign <- regmatches(price,regexpr(\"(?<=\\\\$)(.*)\",price, perl = TRUE))\n",
        "price_num <- sub(\",\",\"\",price_nosign) %>% as.numeric()\n",
        "\n",
        "#use possibly function\n",
        "get_brand_screen_safe <- purrr::possibly(.f = get_brand_screen,\n",
        "                                   otherwise = list())\n",
        "Brand_screen_list <- map(link, get_brand_screen_safe)\n",
        "\n",
        "#seperate the brand and screen date from a list\n",
        "brand <- c()\n",
        "screen <- c()\n",
        "for (record in Brand_screen_list){\n",
        "  brand <- c(brand,record[1])\n",
        "  screen <- c(screen,record[2])\n",
        "}\n",
        "\n",
        "#convert the screen size into clean format use regular expreesion as mentioned before\n",
        "r <- regexpr(\"(?<=Screen Size:)(.*)(?= inches)\",screen, perl = TRUE)\n",
        "r <- replace(r, is.na(r), -1)\n",
        "screen_num <- rep(NA, length(screen))\n",
        "screen_num[r!=-1] <- regmatches(screen, r) %>% as.numeric()\n",
        "\n",
        "#generate a dataframe with 5 columns\n",
        "PB_df <- data.frame(Name = name,\n",
        "                    Link = link,\n",
        "                    Price = price_num,\n",
        "                    Brand = brand,\n",
        "                    Screen_size = screen_num)\n",
        "return(PB_df)\n",
        "}"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "7MY_yu69TIfQ"
      },
      "source": [
        "#Let's scrape 7 pages\n",
        "PB_df <- get_phones(7)"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "x331zbUPTIfR",
        "outputId": "8135d68d-67bb-4c68-f7f0-fbf30cb5f60f"
      },
      "source": [
        "#Let's heck the dataframe we got\n",
        "head(PB_df)\n",
        "tail(PB_df)"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/html": [
              "<table>\n",
              "<caption>A data.frame: 6 × 5</caption>\n",
              "<thead>\n",
              "\t<tr><th scope=col>Name</th><th scope=col>Link</th><th scope=col>Price</th><th scope=col>Brand</th><th scope=col>Screen_size</th></tr>\n",
              "\t<tr><th scope=col>&lt;fct&gt;</th><th scope=col>&lt;fct&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;fct&gt;</th><th scope=col>&lt;dbl&gt;</th></tr>\n",
              "</thead>\n",
              "<tbody>\n",
              "\t<tr><td>Xiaomi Redmi Note 7 Dual SIM Smartphone 64GB Neptune Blue - Special Global Edition with Band 28 700MHz for full NZ mobile network compatibility</td><td>product/MPHMIX017101/Xiaomi-Redmi-Note-7-Dual-SIM-Smartphone-64GB-Neptu  </td><td>398.99</td><td>Xiaomi </td><td>6.00</td></tr>\n",
              "\t<tr><td>Samsung Galaxy A10 (2019) Smartphone 32GB Black 2 Year Warranty                                                                                </td><td>product/MPHSAM21000/Samsung-Galaxy-A10-2019-Smartphone-32GB-Black-2-Ye   </td><td>262.99</td><td>Samsung</td><td>6.20</td></tr>\n",
              "\t<tr><td>Xiaomi Mi 9T (K20) Dual SIM Smartphone 6GB+128GB Glacier Blue - Global Version - 2 Year Warranty                                               </td><td>product/MPHMIX039201/Xiaomi-Mi-9T-K20-Dual-SIM-Smartphone-6GB128GB-Glac  </td><td>598.99</td><td>Xiaomi </td><td>6.39</td></tr>\n",
              "\t<tr><td>OPPO AX5 Dual SIM Smartphone 64GB - Diamond Blue 2 Years Warranty                                                                              </td><td>product/MPHOPP018510/OPPO-AX5-Dual-SIM-Smartphone-64GB---Diamond-Blue-2  </td><td>278.99</td><td>OPPO   </td><td>6.20</td></tr>\n",
              "\t<tr><td>Huawei Y5 2019 Smartphone 32GB - Amber Brown - 2 Year Warranty                                                                                 </td><td>product/MPHHUA71519020/Huawei-Y5-2019-Smartphone-32GB---Amber-Brown---2-Y</td><td>199.00</td><td>Huawei </td><td>5.00</td></tr>\n",
              "\t<tr><td>OnePlus 6T 8GB+128GB Dual SIM Smartphone - Mirror Black - Global Version - Oxygen OS. 2 Year Warranty. Parallel Imported.                      </td><td>product/MPHOPL061010I/OnePlus-6T-8GB128GB-Dual-SIM-Smartphone---Mirror-B </td><td>799.00</td><td>OnePlus</td><td>6.40</td></tr>\n",
              "</tbody>\n",
              "</table>\n"
            ],
            "text/latex": "A data.frame: 6 × 5\n\\begin{tabular}{r|lllll}\n Name & Link & Price & Brand & Screen\\_size\\\\\n <fct> & <fct> & <dbl> & <fct> & <dbl>\\\\\n\\hline\n\t Xiaomi Redmi Note 7 Dual SIM Smartphone 64GB Neptune Blue - Special Global Edition with Band 28 700MHz for full NZ mobile network compatibility & product/MPHMIX017101/Xiaomi-Redmi-Note-7-Dual-SIM-Smartphone-64GB-Neptu   & 398.99 & Xiaomi  & 6.00\\\\\n\t Samsung Galaxy A10 (2019) Smartphone 32GB Black 2 Year Warranty                                                                                 & product/MPHSAM21000/Samsung-Galaxy-A10-2019-Smartphone-32GB-Black-2-Ye    & 262.99 & Samsung & 6.20\\\\\n\t Xiaomi Mi 9T (K20) Dual SIM Smartphone 6GB+128GB Glacier Blue - Global Version - 2 Year Warranty                                                & product/MPHMIX039201/Xiaomi-Mi-9T-K20-Dual-SIM-Smartphone-6GB128GB-Glac   & 598.99 & Xiaomi  & 6.39\\\\\n\t OPPO AX5 Dual SIM Smartphone 64GB - Diamond Blue 2 Years Warranty                                                                               & product/MPHOPP018510/OPPO-AX5-Dual-SIM-Smartphone-64GB---Diamond-Blue-2   & 278.99 & OPPO    & 6.20\\\\\n\t Huawei Y5 2019 Smartphone 32GB - Amber Brown - 2 Year Warranty                                                                                  & product/MPHHUA71519020/Huawei-Y5-2019-Smartphone-32GB---Amber-Brown---2-Y & 199.00 & Huawei  & 5.00\\\\\n\t OnePlus 6T 8GB+128GB Dual SIM Smartphone - Mirror Black - Global Version - Oxygen OS. 2 Year Warranty. Parallel Imported.                       & product/MPHOPL061010I/OnePlus-6T-8GB128GB-Dual-SIM-Smartphone---Mirror-B  & 799.00 & OnePlus & 6.40\\\\\n\\end{tabular}\n",
            "text/markdown": "\nA data.frame: 6 × 5\n\n| Name &lt;fct&gt; | Link &lt;fct&gt; | Price &lt;dbl&gt; | Brand &lt;fct&gt; | Screen_size &lt;dbl&gt; |\n|---|---|---|---|---|\n| Xiaomi Redmi Note 7 Dual SIM Smartphone 64GB Neptune Blue - Special Global Edition with Band 28 700MHz for full NZ mobile network compatibility | product/MPHMIX017101/Xiaomi-Redmi-Note-7-Dual-SIM-Smartphone-64GB-Neptu   | 398.99 | Xiaomi  | 6.00 |\n| Samsung Galaxy A10 (2019) Smartphone 32GB Black 2 Year Warranty                                                                                 | product/MPHSAM21000/Samsung-Galaxy-A10-2019-Smartphone-32GB-Black-2-Ye    | 262.99 | Samsung | 6.20 |\n| Xiaomi Mi 9T (K20) Dual SIM Smartphone 6GB+128GB Glacier Blue - Global Version - 2 Year Warranty                                                | product/MPHMIX039201/Xiaomi-Mi-9T-K20-Dual-SIM-Smartphone-6GB128GB-Glac   | 598.99 | Xiaomi  | 6.39 |\n| OPPO AX5 Dual SIM Smartphone 64GB - Diamond Blue 2 Years Warranty                                                                               | product/MPHOPP018510/OPPO-AX5-Dual-SIM-Smartphone-64GB---Diamond-Blue-2   | 278.99 | OPPO    | 6.20 |\n| Huawei Y5 2019 Smartphone 32GB - Amber Brown - 2 Year Warranty                                                                                  | product/MPHHUA71519020/Huawei-Y5-2019-Smartphone-32GB---Amber-Brown---2-Y | 199.00 | Huawei  | 5.00 |\n| OnePlus 6T 8GB+128GB Dual SIM Smartphone - Mirror Black - Global Version - Oxygen OS. 2 Year Warranty. Parallel Imported.                       | product/MPHOPL061010I/OnePlus-6T-8GB128GB-Dual-SIM-Smartphone---Mirror-B  | 799.00 | OnePlus | 6.40 |\n\n",
            "text/plain": [
              "  Name                                                                                                                                           \n",
              "1 Xiaomi Redmi Note 7 Dual SIM Smartphone 64GB Neptune Blue - Special Global Edition with Band 28 700MHz for full NZ mobile network compatibility\n",
              "2 Samsung Galaxy A10 (2019) Smartphone 32GB Black 2 Year Warranty                                                                                \n",
              "3 Xiaomi Mi 9T (K20) Dual SIM Smartphone 6GB+128GB Glacier Blue - Global Version - 2 Year Warranty                                               \n",
              "4 OPPO AX5 Dual SIM Smartphone 64GB - Diamond Blue 2 Years Warranty                                                                              \n",
              "5 Huawei Y5 2019 Smartphone 32GB - Amber Brown - 2 Year Warranty                                                                                 \n",
              "6 OnePlus 6T 8GB+128GB Dual SIM Smartphone - Mirror Black - Global Version - Oxygen OS. 2 Year Warranty. Parallel Imported.                      \n",
              "  Link                                                                     \n",
              "1 product/MPHMIX017101/Xiaomi-Redmi-Note-7-Dual-SIM-Smartphone-64GB-Neptu  \n",
              "2 product/MPHSAM21000/Samsung-Galaxy-A10-2019-Smartphone-32GB-Black-2-Ye   \n",
              "3 product/MPHMIX039201/Xiaomi-Mi-9T-K20-Dual-SIM-Smartphone-6GB128GB-Glac  \n",
              "4 product/MPHOPP018510/OPPO-AX5-Dual-SIM-Smartphone-64GB---Diamond-Blue-2  \n",
              "5 product/MPHHUA71519020/Huawei-Y5-2019-Smartphone-32GB---Amber-Brown---2-Y\n",
              "6 product/MPHOPL061010I/OnePlus-6T-8GB128GB-Dual-SIM-Smartphone---Mirror-B \n",
              "  Price  Brand   Screen_size\n",
              "1 398.99 Xiaomi  6.00       \n",
              "2 262.99 Samsung 6.20       \n",
              "3 598.99 Xiaomi  6.39       \n",
              "4 278.99 OPPO    6.20       \n",
              "5 199.00 Huawei  5.00       \n",
              "6 799.00 OnePlus 6.40       "
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "text/html": [
              "<table>\n",
              "<caption>A data.frame: 6 × 5</caption>\n",
              "<thead>\n",
              "\t<tr><th></th><th scope=col>Name</th><th scope=col>Link</th><th scope=col>Price</th><th scope=col>Brand</th><th scope=col>Screen_size</th></tr>\n",
              "\t<tr><th></th><th scope=col>&lt;fct&gt;</th><th scope=col>&lt;fct&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;fct&gt;</th><th scope=col>&lt;dbl&gt;</th></tr>\n",
              "</thead>\n",
              "<tbody>\n",
              "\t<tr><th scope=row>331</th><td>Samsung Galaxy S10+ SM-G975F Smartphone 8GB + 128GB Prism Black - 2 Year Warranty  </td><td>product/MPHSAM197510/Samsung-Galaxy-S10-SM-G975F-Smartphone-8GB--128GB           </td><td>1699.00</td><td>Samsung</td><td>6.4</td></tr>\n",
              "\t<tr><th scope=row>332</th><td>Samsung Galaxy S9 SM-G960F Smartphone 64GB Lilac Purple 2 year warranty            </td><td>product/MPHSAM296030/Samsung-Galaxy-S9-SM-G960F-Smartphone-64GB-Lilac-P?type=open</td><td>1363.99</td><td>Samsung</td><td>5.8</td></tr>\n",
              "\t<tr><th scope=row>333</th><td>Samsung Galaxy S10e SM-G970F Smartphone 6GB + 128GB Prism Black - 2 Year Warranty  </td><td>product/MPHSAM297010/Samsung-Galaxy-S10e-SM-G970F-Smartphone-6GB--128GB          </td><td>1298.99</td><td>Samsung</td><td>5.8</td></tr>\n",
              "\t<tr><th scope=row>334</th><td>Samsung Galaxy S10+ SM-G975F Smartphone 8GB + 512GB Ceramic White - 2 Year Warranty</td><td>product/MPHSAM297540/Samsung-Galaxy-S10-SM-G975F-Smartphone-8GB--512GB           </td><td>2098.99</td><td>Samsung</td><td>6.4</td></tr>\n",
              "\t<tr><th scope=row>335</th><td>Apple iPhone 8 256GB Space Grey                                                    </td><td>product/MPHAPP1842560/Apple-iPhone-8-256GB-Space-Grey                            </td><td>1399.00</td><td>Apple  </td><td>4.7</td></tr>\n",
              "\t<tr><th scope=row>336</th><td>Apple iPhone 8 256GB Silver                                                        </td><td>product/MPHAPP1842561/Apple-iPhone-8-256GB-Silver                                </td><td>1399.00</td><td>Apple  </td><td>4.7</td></tr>\n",
              "</tbody>\n",
              "</table>\n"
            ],
            "text/latex": "A data.frame: 6 × 5\n\\begin{tabular}{r|lllll}\n  & Name & Link & Price & Brand & Screen\\_size\\\\\n  & <fct> & <fct> & <dbl> & <fct> & <dbl>\\\\\n\\hline\n\t331 & Samsung Galaxy S10+ SM-G975F Smartphone 8GB + 128GB Prism Black - 2 Year Warranty   & product/MPHSAM197510/Samsung-Galaxy-S10-SM-G975F-Smartphone-8GB--128GB            & 1699.00 & Samsung & 6.4\\\\\n\t332 & Samsung Galaxy S9 SM-G960F Smartphone 64GB Lilac Purple 2 year warranty             & product/MPHSAM296030/Samsung-Galaxy-S9-SM-G960F-Smartphone-64GB-Lilac-P?type=open & 1363.99 & Samsung & 5.8\\\\\n\t333 & Samsung Galaxy S10e SM-G970F Smartphone 6GB + 128GB Prism Black - 2 Year Warranty   & product/MPHSAM297010/Samsung-Galaxy-S10e-SM-G970F-Smartphone-6GB--128GB           & 1298.99 & Samsung & 5.8\\\\\n\t334 & Samsung Galaxy S10+ SM-G975F Smartphone 8GB + 512GB Ceramic White - 2 Year Warranty & product/MPHSAM297540/Samsung-Galaxy-S10-SM-G975F-Smartphone-8GB--512GB            & 2098.99 & Samsung & 6.4\\\\\n\t335 & Apple iPhone 8 256GB Space Grey                                                     & product/MPHAPP1842560/Apple-iPhone-8-256GB-Space-Grey                             & 1399.00 & Apple   & 4.7\\\\\n\t336 & Apple iPhone 8 256GB Silver                                                         & product/MPHAPP1842561/Apple-iPhone-8-256GB-Silver                                 & 1399.00 & Apple   & 4.7\\\\\n\\end{tabular}\n",
            "text/markdown": "\nA data.frame: 6 × 5\n\n| <!--/--> | Name &lt;fct&gt; | Link &lt;fct&gt; | Price &lt;dbl&gt; | Brand &lt;fct&gt; | Screen_size &lt;dbl&gt; |\n|---|---|---|---|---|---|\n| 331 | Samsung Galaxy S10+ SM-G975F Smartphone 8GB + 128GB Prism Black - 2 Year Warranty   | product/MPHSAM197510/Samsung-Galaxy-S10-SM-G975F-Smartphone-8GB--128GB            | 1699.00 | Samsung | 6.4 |\n| 332 | Samsung Galaxy S9 SM-G960F Smartphone 64GB Lilac Purple 2 year warranty             | product/MPHSAM296030/Samsung-Galaxy-S9-SM-G960F-Smartphone-64GB-Lilac-P?type=open | 1363.99 | Samsung | 5.8 |\n| 333 | Samsung Galaxy S10e SM-G970F Smartphone 6GB + 128GB Prism Black - 2 Year Warranty   | product/MPHSAM297010/Samsung-Galaxy-S10e-SM-G970F-Smartphone-6GB--128GB           | 1298.99 | Samsung | 5.8 |\n| 334 | Samsung Galaxy S10+ SM-G975F Smartphone 8GB + 512GB Ceramic White - 2 Year Warranty | product/MPHSAM297540/Samsung-Galaxy-S10-SM-G975F-Smartphone-8GB--512GB            | 2098.99 | Samsung | 6.4 |\n| 335 | Apple iPhone 8 256GB Space Grey                                                     | product/MPHAPP1842560/Apple-iPhone-8-256GB-Space-Grey                             | 1399.00 | Apple   | 4.7 |\n| 336 | Apple iPhone 8 256GB Silver                                                         | product/MPHAPP1842561/Apple-iPhone-8-256GB-Silver                                 | 1399.00 | Apple   | 4.7 |\n\n",
            "text/plain": [
              "    Name                                                                               \n",
              "331 Samsung Galaxy S10+ SM-G975F Smartphone 8GB + 128GB Prism Black - 2 Year Warranty  \n",
              "332 Samsung Galaxy S9 SM-G960F Smartphone 64GB Lilac Purple 2 year warranty            \n",
              "333 Samsung Galaxy S10e SM-G970F Smartphone 6GB + 128GB Prism Black - 2 Year Warranty  \n",
              "334 Samsung Galaxy S10+ SM-G975F Smartphone 8GB + 512GB Ceramic White - 2 Year Warranty\n",
              "335 Apple iPhone 8 256GB Space Grey                                                    \n",
              "336 Apple iPhone 8 256GB Silver                                                        \n",
              "    Link                                                                             \n",
              "331 product/MPHSAM197510/Samsung-Galaxy-S10-SM-G975F-Smartphone-8GB--128GB           \n",
              "332 product/MPHSAM296030/Samsung-Galaxy-S9-SM-G960F-Smartphone-64GB-Lilac-P?type=open\n",
              "333 product/MPHSAM297010/Samsung-Galaxy-S10e-SM-G970F-Smartphone-6GB--128GB          \n",
              "334 product/MPHSAM297540/Samsung-Galaxy-S10-SM-G975F-Smartphone-8GB--512GB           \n",
              "335 product/MPHAPP1842560/Apple-iPhone-8-256GB-Space-Grey                            \n",
              "336 product/MPHAPP1842561/Apple-iPhone-8-256GB-Silver                                \n",
              "    Price   Brand   Screen_size\n",
              "331 1699.00 Samsung 6.4        \n",
              "332 1363.99 Samsung 5.8        \n",
              "333 1298.99 Samsung 5.8        \n",
              "334 2098.99 Samsung 6.4        \n",
              "335 1399.00 Apple   4.7        \n",
              "336 1399.00 Apple   4.7        "
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "RLFQiH4bTIfR"
      },
      "source": [
        "Now we have a data frame with 5 columns and 336 rows (information of 336 mobile phones)."
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "0oFo7nwiTIfR"
      },
      "source": [
        "### Task (d): plot it\n",
        "\n",
        "Use graphics (via `ggplot`) to represent the data you collected in a meaningful way."
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "yQFXsOuoTIfR",
        "outputId": "247ce634-6998-4ddb-fc23-93e61b751e9f"
      },
      "source": [
        "#prepare the data for the first plot\n",
        "price_brand_df <- aggregate(Price ~ Brand, PB_df, mean) #calculate the average price of each brand\n",
        "price_brand_df <- price_brand_df[order(price_brand_df$Price),] # reorder it\n",
        "price_brand_df$Brand <- factor(price_brand_df$Brand, levels=price_brand_df$Brand) # covert the brand format to factor\n",
        "\n",
        "#plot a bar chart showing the average price of each brand\n",
        "library(ggplot2)\n",
        "ggplot(price_brand_df[3:20,],aes(x=Brand,y=Price))+geom_bar(stat = \"identity\")+\n",
        "  labs(title = \"Average price of mobile phone on pbtech.co.nz by brand\", y=\"Average price (NZD)\") +\n",
        "  coord_flip()"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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ulcLCEhQaPRnDhxotQsnwULFjhfCKoY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eJfiTZO0IIaxWq9Vq1bsKvzGZTIF7w6+L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\nLzI81w8AAAAASUVORK5CYII=",
            "text/plain": [
              "plot without title"
            ]
          },
          "metadata": {
            "tags": [],
            "image/png": {
              "height": 420,
              "width": 420
            },
            "text/plain": {
              "height": 420,
              "width": 420
            }
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "bg6vf3LlTIfR"
      },
      "source": [
        "#prepare the data for the second plot\n",
        "brand_df<-aggregate(data.frame(Count = PB_df[,\"Brand\"]),\n",
        "          by = list(Brand = PB_df[,\"Brand\"]), FUN = length) #count the number of phones for each brand\n",
        "brand_df[,\"Brand\"] %<>% as.character()\n",
        "#if a brand has less than 10 type of phones, we rename it as Other\n",
        "for (n in 1:nrow(brand_df)){\n",
        "  if (brand_df[n,2]<10){\n",
        "    brand_df[n,1] <- \"Other\"}\n",
        "}\n",
        "# recalculate the sum of each brand\n",
        "brand_df <- aggregate(brand_df[\"Count\"],by=brand_df[\"Brand\"],sum)\n",
        "#reorder the dataframe to decreasing order\n",
        "brand_df<- brand_df[order(brand_df$Count,decreasing = TRUE),]\n",
        "#convert brand column to factor format\n",
        "brand_df$Brand <- factor(brand_df$Brand, levels=brand_df$Brand)"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "83DXqMkfTIfS",
        "outputId": "97037681-1e6a-4b91-cd3f-0df13c548975"
      },
      "source": [
        "#plot a bar chart showing the number of mobile phone models by brand\n",
        "ggplot(brand_df, aes(x=Brand, y=Count))+\n",
        "  geom_bar(stat = \"identity\")+\n",
        "  labs(title = \"Number of moblie phone models on pbtech.co.nz by brand\", y=\"Number of moblie phone models\")"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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AQ7AAAAhSDYAQAAKATBDgAAQCEIdgAAAApBsAMAAFAIgh0AAIBCEOwAAAAUgmAH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\nAACQxP8BRR5uwauKbpQAAAAASUVORK5CYII=",
            "text/plain": [
              "plot without title"
            ]
          },
          "metadata": {
            "tags": [],
            "image/png": {
              "height": 420,
              "width": 420
            },
            "text/plain": {
              "height": 420,
              "width": 420
            }
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "Exepv6ElTIfS"
      },
      "source": [
        "#prepare the data for the third plot\n",
        "#we only need three columns this time\n",
        "plot_df = PB_df[!is.na(PB_df$Screen_size),c(\"Screen_size\",\"Brand\",\"Price\")]\n",
        "plot_df[,\"Brand\"] %<>% as.character()\n",
        "#rename the brand name to Other if it is not one of the top 6 brand we got from the last plot\n",
        "for (n in 1:nrow(plot_df)){\n",
        "  if (not(plot_df[n,\"Brand\"] %in% c(\"Apple\",\"Samsumg\",\"Huawei\",\"OPPO\",\"Vodafone\",\"Xiaomi\"))){\n",
        "    plot_df[n,\"Brand\"] = \"Other\"}\n",
        "}"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "ONP-k1zeTIfS",
        "outputId": "ae724057-26d5-4876-e031-77d830676d51"
      },
      "source": [
        "#plot a scatter plot showing the screen size vs price.\n",
        "ggplot(plot_df,aes(x=Screen_size, y=Price, color=Brand)) +\n",
        "  geom_point()+\n",
        "  labs(title=\"Screen size vs Price\", x=\"Screen size (inches)\", y= \"price (NZD)\")"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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liRa307Xp2/Emsj0HcBSZLYBdRlMpkC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\nbJgQ4s9//vPYsWNPnz7doUOHjRs39urVKyUlxWu7Zwnuk+oee+y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at/y+bdKgUAaxA/zNqbgO5J9cn/Ftcu6P+a66uXrJarU+88wzHTt2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\nt27dli1bXnjhhfz8fKvVumzZsokTJ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I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\nPyMZeZ7neV4mCzjIsYfjOI6IYvcSPPHLZDKej5kfLV4j88TRAxwqlYqImpu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07JZbbikvL3/vvfduueWW6urqRx55ZPDgwVu3bvU90mw2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\nAAAAAHECiR0AAABAnEBiBwAAABAn/h9vguV8/ZNPRgAAAABJRU5ErkJggg==",
            "text/plain": [
              "plot without title"
            ]
          },
          "metadata": {
            "tags": [],
            "image/png": {
              "height": 420,
              "width": 420
            },
            "text/plain": {
              "height": 420,
              "width": 420
            }
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "_Q2gEQryTIfS"
      },
      "source": [
        "Conclusion:\n",
        "\n",
        "The first graph shows that mobile phone price range from around 100 NZD to around 2500 NZD. Apple is the most expensive brand among popular brands.\n",
        "\n",
        "The second graph shows that Apple and Samsung have the most number of mobile phone models.\n",
        "\n",
        "The third graph shows that a phone with a larger screen usually has a higher price. The screen size of most phone models is around 6 inches. Apple has a unique pattern compared with other phones. It is the most expensive phone in the market when compared with phones from other brands with similar screen size."
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "Ta9mR_hMTIfT"
      },
      "source": [
        "### Task (e): APIs"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "jeELpzP6TIfT"
      },
      "source": [
        "In this task, I collected the daily pageview counts of one specific Wikipedia article, convert the JSON data into dataframe and then plot it. I have referenced this page for wikipedia API introduction: https://wikitech.wikimedia.org/wiki/Analytics/AQS/Pageviews"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "JUNHQVkATIfT"
      },
      "source": [
        "library(rlist)\n",
        "library(httr)\n",
        "starting <- \"20151001\"\n",
        "ending <- \"20191001\"\n",
        "article_title <- \"SpaceX\"\n",
        "#replace the url with our timestamps and article name.\n",
        "url <- paste(\"https://wikimedia.org/api/rest_v1/metrics/pageviews/per-article/en.wikipedia/all-access/all-agents\",\n",
        "             article_title,\n",
        "             \"daily\",\n",
        "             starting,\n",
        "             ending,\n",
        "             sep = \"/\")\n",
        "response <-GET(url)\n",
        "#use the GET funtion from httr package to get the data"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "4bMVSQ1KTIfT",
        "outputId": "0d29f69c-ae86-4bf8-cac7-62975666f8ff"
      },
      "source": [
        "library(jsonlite)\n",
        "#use jsonlite library to extract informatio from JSON file\n",
        "result <- fromJSON(content(response, as=\"text\"))\n",
        "df <- list.stack(list.select(result, timestamp, views)) #select the columns we need\n",
        "library(lubridate)\n",
        "df$timestamp <- ymd(str_sub(df$timestamp, 1, -3)) \n",
        "#use str_sub to remove the last 2 digit in the timestamps because they are timezone information which we don't need\n",
        "# and then convert the timestamps to ymd data format\n",
        "head(df)\n",
        "ggplot(data=df, aes(timestamp, views)) + \n",
        "  geom_line() +\n",
        "  labs(title=\"Pageview count of SpaceX article on Wikipedia from 2016 to 2019\") # plot a line graph"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/html": [
              "<table>\n",
              "<caption>A data.frame: 6 × 2</caption>\n",
              "<thead>\n",
              "\t<tr><th scope=col>timestamp</th><th scope=col>views</th></tr>\n",
              "\t<tr><th scope=col>&lt;date&gt;</th><th scope=col>&lt;int&gt;</th></tr>\n",
              "</thead>\n",
              "<tbody>\n",
              "\t<tr><td>2015-10-01</td><td>3355</td></tr>\n",
              "\t<tr><td>2015-10-02</td><td>3019</td></tr>\n",
              "\t<tr><td>2015-10-03</td><td>2807</td></tr>\n",
              "\t<tr><td>2015-10-04</td><td>3031</td></tr>\n",
              "\t<tr><td>2015-10-05</td><td>3557</td></tr>\n",
              "\t<tr><td>2015-10-06</td><td>3881</td></tr>\n",
              "</tbody>\n",
              "</table>\n"
            ],
            "text/latex": "A data.frame: 6 × 2\n\\begin{tabular}{r|ll}\n timestamp & views\\\\\n <date> & <int>\\\\\n\\hline\n\t 2015-10-01 & 3355\\\\\n\t 2015-10-02 & 3019\\\\\n\t 2015-10-03 & 2807\\\\\n\t 2015-10-04 & 3031\\\\\n\t 2015-10-05 & 3557\\\\\n\t 2015-10-06 & 3881\\\\\n\\end{tabular}\n",
            "text/markdown": "\nA data.frame: 6 × 2\n\n| timestamp &lt;date&gt; | views &lt;int&gt; |\n|---|---|\n| 2015-10-01 | 3355 |\n| 2015-10-02 | 3019 |\n| 2015-10-03 | 2807 |\n| 2015-10-04 | 3031 |\n| 2015-10-05 | 3557 |\n| 2015-10-06 | 3881 |\n\n",
            "text/plain": [
              "  timestamp  views\n",
              "1 2015-10-01 3355 \n",
              "2 2015-10-02 3019 \n",
              "3 2015-10-03 2807 \n",
              "4 2015-10-04 3031 \n",
              "5 2015-10-05 3557 \n",
              "6 2015-10-06 3881 "
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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p06XXvttWF9z3o3a3D/BxvqCZ988onO8Y899lidm/b3v/9dv0HeeOONOhew2NoI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W27dvr1+/PvlmRESEu7t7nz59yJNqSY1+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\nDKRgYHw3MDAQx8mSv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            "text/plain": [
              "plot without title"
            ]
          },
          "metadata": {
            "tags": [],
            "image/png": {
              "height": 420,
              "width": 420
            },
            "text/plain": {
              "height": 420,
              "width": 420
            }
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "UfyMlcCxTIfU"
      },
      "source": [
        "There is a spike around Feb 2018, that is probably because of the frist Falcon Heavy launch."
      ]
    }
  ]
}