Homework Assignment #5 Saved Help Save & Exit Submit Check my work 8 On the firs

Question

Homework Assignment #5 Saved Help Save & Exit Submit Check my work 8 On the first statistics exam, the coefficient of determination between the hours studied and the grade earned was 60%. The standard error of estimate was 19, There were 22 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.) 12.5 points Source DF SS MS Regression References Error Total Prev 8 of 8 Next>

Explanation / Answer

Standard error of the estimate is the square root of MSE. Hence, MSE=19^2=361, SSE=361*20=7220. r^2=0.6 and hence 0.4*SST=SSE. Hence, SST=SSE/0.4=7220/0.4=18050. SSR=18050*0.6=10830. Please see the table as shown below: -

Source DF SS MS Regression 1 10830 10830 Error 20 7220 361 Total 21 18050

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