On the first statistics exam, the coefficient of determination between the hours studied and the grade earned was 78%. The standard error of estimate was 11. There were 25 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. (Leave no cells blank - be certain to enter "0" wherever required. Round your answers to 2 decimal places.) |
Source | DF | SS | MS |
Regression | |||
Error | |||
Total | |||
On the first statistics exam, the coefficient of determination between the hours studied and the grade earned was 78%. The standard error of estimate was 11. There were 25 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. (Leave no cells blank - be certain to enter "0" wherever required. Round your answers to 2 decimal places.)
standard error = 11, MSE = 121
df for error = 23, SSE= MSE*df = 121*23=2783
coefficient of determination= 78% or 0.78
coefficient of nondetermination= 22% or 0.22
SSE/SST= 0.22
2783/SST =0.22, SST=12650
Source |
DF |
SS |
MS |
F |
Regression |
1 |
9867.00 |
9867.00 |
81.55 |
Error |
23 |
2783.00 |
121.00 |
|
Total |
24 |
12650.00 |
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