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26 April, 09:31

A linear regression equation is calculated for a sample of n = 20 pairs of X and Y values.

What would be the df value for the standard error of estimate?

A) 19 B) 18 C) 2 D) 1

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  1. 26 April, 09:44
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    Answer: B) 18

    Step-by-step explanation:

    The degree of freedom for Standard error or df (Residual) is the sample size minus the number of estimated parameters,.

    df = n - p, where n = sample size, p = number of parameters.

    According to the given problem, we have

    Sample size : n=20

    Number of parameters (x and y) : p = 2

    Then, the df value for the standard error of estimate will be:

    df = n-p = 20-2=18

    Thus, the df value for the standard error of estimate is 18.

    Hence, the correct answer is B) 18.
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