On the first statistics exam, the coefficient of determination between the hours studied and the grade earned was 90%. The standard error of estimate was 7. There were 15 students in the class.
Develop an ANOVA table. (Round the final answers to the nearest whole number.)
Source | df | SS | MS |
Regression | 1 | ? | ? |
Residual | 13 | ? | ? |
Total | 14 | ? | |
Standard error of estimate = (Residual sum of squares/n-2)1/2
ie 7 = (Se2/15-2)1/2
Solve get Se2 = 637
Coefficient of determination = 0.9
ie (1- TSSE/TSS) = 0.9
we just got TSSE = 637
We solve and get Total Sum of Squares (TSS) = 6370
Regression Sum Of Squares = 6370 - 637 = 5733
The table can now be completed. It is as follows :
Source | df | SS | MSS | F |
Regression | 1 | 5733 | 5733 | 117 |
Residual | 13 | 637 | 49 | |
Total | 14 | 6370 | ||
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