A multiple regression analysis includes 4 independent variables results in sum o

Question

A multiple regression analysis includes 4 independent variables results in sum of squares for regression of 1400 and sum of squares for error of 600. The multiple coefficient of determination will be:

0.300

0.700

0.429

0.084

none of the above

A multiple regression analysis includes 4 independent variables results in sum of squares for regression of 2800 and sum of squares for error of 1200. If the sample size is 20, the standard error of estimate will be:

8.00

80.00

140.62

8.94

none of the above

Can u please explain.

Explanation / Answer

1)here  multiple coefficient of determination =SSR/(SSR+SSE) =1400/(600+1400)=0.7

2)

here SSE =1200

therefore standard error of estimate =(SSE/(n-p))1/2 =(1200/(20-5))1/2 =8.94

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