A study was conducted to identify the predictors for symptomatic distress in EMS workers. Five predictor variables were used in a regression model and fitted to a data collected on n = 147 EMS workers and yielded F* = 34.47. In testing the usefulness of this model, the null hypothesis (H0 : Model is not useful) can be rejected (at = 0.05) if F* = 34.47 is greater than a critical value (that you find using the F-table). What are the degrees of freedom for finding this critical value in the F-table?
a. 5,141
b. 1,141
c. 6,141
d. 5,146
To find the degrees of freedom for finding the critical value in the F-table, we need to consider the number of predictor variables and the sample size.
In this study, there are 5 predictor variables used in the regression model. This means that the numerator degrees of freedom (df1) for the F-test will be equal to the number of predictor variables - 1, which is 5 - 1 = 4.
The sample size is n = 147 EMS workers. The denominator degrees of freedom (df2) for the F-test will be equal to the sample size - the number of predictor variables, which is 147 - 5 = 142.
Therefore, the correct option for the degrees of freedom is:
d. 5,146