1. Test for a significant relationship among x1, x2, and y. Use alpha= .05. Comp

Question

1. Test for a significant relationship among x1, x2, and y. Use alpha= .05. Compute F-test statistic(2 decimals).

1a. The p-value is?

2. Compute the t test statistic for the significance of b1(2 decimals).

2a. The p-value is?

3. Compute the t test statistic for the significance of b2(2 decimals).

3a. The p-value is?

30 46 24 50 #2 12 10 18 17 94 109 113 178 95 176 52 75 36 59 76 19 12 14 16 118 143 212 The estimated regression equation for these data is y =-21.56 + 2.03x1 +4.84x2 Here SST 15,200.9, SSR 14.151.8, 8b1 = 0.2349, and 8b2 = 0.9098

Explanation / Answer

1) from above MSR =SSR/(k-1) =14151.8/(3-1)=7075.9

MSE =SSE/(N-k)=(15200.9-14151.8)/(10-3) =149.87

tehrefore F-test statistic =MSR/MSE =47.21

1a) p value for (2,7) degree of freedom =0.0001

2)

t test statistic for the significance of b1 =b1/sb1 =2.03/0.2349=8.64

2a) p value =0.0001

3 )  t test statistic for the significance of b2 =b2/sb2 =4.84/0.9098=5.32

p value =0.0011

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