Answer :
The critical values of F can be determined from an F-distribution table with 8 and 211 degrees of freedom at the desired level of significance.
To test the significance of a regression model with 8 independent variables and 220 observations, we can perform an F-test using the following null and alternative hypotheses:
Null hypothesis: The regression model is not significant (i.e., all regression coefficients are equal to zero).
Alternative hypothesis: The regression model is significant (i.e., at least one regression coefficient is not equal to zero).
The F-test statistic is calculated as the ratio of the explained variance to the unexplained variance in the model, which follows an F-distribution under the null hypothesis.
The numerator degrees of freedom are equal to the number of independent variables in the model (8), and the denominator degrees of freedom are equal to the total number of observations minus the number of independent variables minus 1 (220 - 8 - 1 = 211).
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