Question

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	?

Answer 1

Standard error of estimate = (Residual sum of squares/n-2)^1/2

ie 7 = (S_e²/15-2)^1/2

Solve get S_e² = 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