In order to test for the significance of a regression model involving 14 independent variables and 255 observations, the numerator and denom

Question

In order to test for the significance of a regression model involving 14 independent variables and 255 observations, the numerator and denominator degrees of freedom (respectively) for the critical value of F are:_____.
a. 14 and 255.
b. 255 and 14.
c. 13 and 240.
d. 14 and 240.

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Mít Mít 3 years 2021-08-08T00:29:52+00:00 1 Answers 40 views 0

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  1. Acacia
    0
    2021-08-08T00:30:55+00:00
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    Answer:

    d. 14 and 240.

    Step-by-step explanation:

    Given that

    The regression model involving 14 independent variables and 255 observations

    We need to find out the numerator and denominator freedom degrees

    k = 14 regression variable

    = n – k – 1

    = 255 – 14 – 1

    = 240 residuals

    df=14,240

     
    Now The degrees of freedom for F -critical is

    F_{k,n-k-1}=F_{14,240}

    So, The df of the numerator is 14 and df of the denominator is 240

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