Question

If the estimated regression equation is
,

SSR = 600, SSE = 400 and the sample saze is 17 observation;.

Refer to Exhibit 1. The F statistics is

Answer 1

Given that for a regression equation,

SSR = 600, SSE = 400 and n= sample saze = 17

[ Formula:- For a linear regression equation,

1) DF of regression or SSR is = 1

2) DF of error or SSE is = (n-2) [ where, n = sample size ]

3) MSR = (SSR/DF of SSR)

4) MSE = (SSE/DF of SSE)

5) F-statistics = (MSR/MSE) ]

For this problem:-

1) DF of regression or SSR is = 1

2) DF of error or SSE is = (n-2) = (17-2) = 15

3) MSR = (SSR/DF of SSR) = (600/1) = 600

4) MSE = (SSE/DF of SSE) = (400/15) = 26.6667 [ Round to four decimal places ]

5) F-statistic = (MSR/MSE) = (600/26.6667) = 22.49997 = 22.5000    [ Round to four decimal places ]

Answer:- The F statistic is 22.5000  [ Round to four decimal places ]