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A regression model was constructed by regressing Y on 5 explanatory variables, X1, X2, X3, X4,...

A regression model was constructed by regressing Y on 5 explanatory variables, X1, X2, X3, X4, and X5. There were n = 40 observations (rows) in the data set. In this case, the degrees of freedom (d.f.) for the error term in the model is:

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Solution:

Given: A regression model was constructed by regressing Y on 5 explanatory variables, X1, X2, X3, X4, and X5.

thus k = Number of indepndent ( explanatory ) variables = 5

n = total observations = 45

We have to find the degrees of freedom (d.f.) for the error term in the model.

dferror = n - k - 1

dferror = 40 - 5 - 1

dferror = 34

Thus the degrees of freedom (d.f.) for the error term in the model is 34

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