Consider the following ANOVA table from the fitting of a linear regression model. Source DF SS MS Regression 4 9936.84 2484.21 Error 45 2321.91 51.598 Total 49 12258.75 a. How many predictor variables are present in the regression model? b. What was the sample size used to generate the model? c. Does the population experience a significant linear relationship? Use ? = 0.05. Given the degrees of freedom in the table, the critical value is F0.95,4,45 = 2.58.
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The degrees of freedom (DF) for the regression model is 45, and the DF for the error is 49. Since the DF for the regression model is the number of predictor variables minus 1, we can find the number of predictor variables: Number of predictor variables - 1 = Show more…
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