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# sol10 - Homework 10 due Apr 16 10-18(11-18 10-26(11-26...

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Homework 10 due Apr. 16 10-18 (11-18) 10-26 (11-26) 10-31 (11-31) 10-40 (11-40) 10-49 (11-49) 10-51 (11-51) Note: the numbers in brackets are for the new edition of the textbook 10-18. a) 1) The parameter of interest is the regressor variable coefficient, β 1 2) H 0 1 0 : β = 3) H 1 1 0 : β 4) α = 0.05 5) The test statistic is f MS MS SS SS n R E R E 0 1 2 = = - / / ( ) 6) Reject H 0 if f 0 > f α ,1,12 where f 0.05,1,12 = 4.75 7) Using results from Exercise 6-1 SS S SS S SS R xy E yy R = = - - = = - = - = . ( . ) . . . . β 1 2 3298017 59 057143 137 59 159 71429 137 59143 22123 f 0 137 59 22123 12 74 63 = = . . / . 8) Since 74.63 > 4.75 reject H 0 and conclude that compressive strength is a significant in predicting intrinsic permeability of concrete at α = 0.05. We can therefore conclude model specifies a useful linear relationship between these two variables. P value - 2245 0 000002 . b) . . σ 2 2 22123 12 1844 = = - = = MS SS n E E 10-26. Refer to ANOVA of Exercise 10-11 a) H 0 1 0 : β = H 1 1 0 : β α = 0.01 f f f f 0 01116 0 116 92 224 8 534 = = . . . , , , , α Therefore, reject H 0 . b) P-value < 0.00001 c) . σ 2 13 80920 = se( ) . β 1 214169 = se( ) . β 0 193591 = d) H 0 0 0 : β =

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H 1 0 0 : β α = 0.01 t t t t 0 005 16 0 216 0 243 2 921 = = / .
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sol10 - Homework 10 due Apr 16 10-18(11-18 10-26(11-26...

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