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If a multiple regression analysis is based on 10 independent variables collected from a sample of 125 observations, what is the value of the denominator in the calculation of the multiple standard error of estimate?

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Answer: 114

Explanation:

The value of the denominator in the calculation of the multiple standard error "MSSE' of estimate is given by "n-k-1 " , where n= Total observations , k = total independent variables such that
MSSE=(SSE)/(n-k-1)

Given : A multiple regression analysis is based on 10 independent variables collected from a sample of 125 observations.

i.e. Total observations : n= 125

Total independent variables : k=10

Then, the value of the denominator in the calculation of the multiple standard error of estimate would be (125)-(10)-1 =114

Therefore , the value of the denominator in the calculation of the multiple standard error of estimate = 114 .