Consider the following data for a dependent variable y and two independent varia

Question

Consider the following data for a dependent variable y and two independent variables, 1 and x2 T2 95 108 113 179 95 175 12 29 47 25 50 40 51 75 37 59 18 16 20 13 14 16 142 211 The estimated regression equation for these data is y =-14.52 + 1.99 + 4.36x2 Here SST = 15,080.4, SSR = 13,542.8, sbl = 0.2828, and 8b2 = 1.0590 a. Test for a significant relationship among 1,22, and y. Use -.05 Compute F-test statistic (to 2 decimals). Use F table The p-value is less than .01 What is your conclusion? The overall model is significant b. Compute the t test statistic for the significance of A . Use -05 (to 2 decimals). Use t table Thep-value is less than .01 What is your conclusion? significant. lis .05 (to 2 decimals). Use t table c. Compute the t test statistic for the significance of B2. Use

Explanation / Answer

from above data:

F statistic =30.83

b : t test statistic =b1/std errror =1.99/0.2828 = 7.04

c)  t test statistic =b2/std errror =4.36/1.059 =4.12

source SS df MS F regression 13542.8 2 6771.4 30.83 error 1537.6 7 219.6571 total 15080.4 9

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