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error in table 7.2
for example:
it gives:
l_5 = alpha y_5 + (1-alpha) * 1_4 = 0.2 * 456.3 + (1-0.2)* 444.5 = 446.86
if we round to the nearest tenth, we should get l_5 = 446.9 but not 446.8 in the table.
l_8 = 0.6485.1 + 0.4434.6 = 464.9 but not 459.9 in the table.
there are many of this kind of errors in table 7.2, especially when alpha = 0.86
below is the comparison between table 7.2 and my calculation:
table7.2, my calculation
446.7 446.7
448.2 448.26
449.7 449.748
444.5 444.5184
446.8 446.8747
445.6 445.6198
441.5 441.5558
450.3 450.2647
461.4 461.4117
474.5 474.4894
482.5 482.4515
484.8 484.8012
table7.2, my calculation
446.7 446.7
450.6 451.38
453.1 453.972
438.4 435.7488
447.3 448.0795
444 443.5918
434.6 432.6167
459.9 464.1067
483 489.2427
504.9 511.7771
509.6 513.2908
501.9 501.8363
table7.2, my calculation
446.7 446.7
453.6 453.642
455.4 455.4736
427.1 427.1061
453.1 453.0887
441.9 441.9738
427.1 427.1341
478.9 478.7238
503.1 502.9996
524.2 524.182
515.3 515.387
496.5 496.5306