On the first statistics exam, the coefficient of determination between the hours

Question

On the first statistics exam, the coefficient of determination between the hours studied and the grade earned was 72%. The standard error of estimate was 8. There were 20 students in the class. Develop an ANOVA table for the regression analysis of hours studied as a predictor of the grade earned on the first statistics exam. (Round your decimal answers to 2 places.)

On the first statistics exam, the coefficient of determination between the hours studied and the grade earned was 72%. The standard error of estimate was 8. There were 20 students in the class. Develop an ANOVA table for the regression analysis of hours studied as a predictor of the grade earned on the first statistics exam. (Round your decimal answers to 2 places.)

Explanation / Answer

for df of regression =1

df of error =n-2 =18

for MS of Error =(standard error)2 =82 =64

SSE =64*18=1152

here for R2 =1-SSE/SST

0.72=1-SSE/SST

SST=SSE/0.28 =1152/0.28=4114.29

SSR =SST-SSE =2962.29

hence from above:

please revert for any clarification/ correction  

Source DF SS MS   Regression 1 2962.29 2962.29   Error 18 1152.00 64   Total 19 4114.29

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