The following information regarding a dependent variable (y) and an independent variable (x) is provided. SSE = 1.9
SST = 6.8

The MSE is
A) 4.9.
B) .63.
C) 6.8.
D) 1.9.

Question

The following information regarding a dependent variable (y) and an independent variable (x) is provided.  ​ SSE = 1.9
SST = 6.8
​
The MSE is
A) 4.9. 
B) .63. 
C) 6.8. 
D) 1.9.

Quizplus · Accepted Answer

MSE = SSE/(n-2) = 1.9/(n-2)
And SST = SSE + SSR ; 
if the regression equation fits the data well, then SSR will be large and SSE will be small.
Since there is no information about SSR, we can assume SST ≈ SSR and thus SST is large as compared to SSE. Therefore, we can conclude that the denominator in the calculation of MSE is large, which means that the value of MSE will be small.
Hence, the only option which is small is option B (.63).

The Following Information Regarding a Dependent Variable (Y) and an Independent