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Suppose you estimate a Linear Regression with quantity of lumber sales as the dependent variable and the amount of rain in inches and the temperature

Suppose you estimate a Linear Regression with quantity of lumber sales as the dependent variable and the amount of rain in inches and the temperature in Fahrenheit as independent variables. From the regression results, you get the F-statistic is 0.336 with a p-value of 0.197. At a Level of Significance of 5%, what does the F-test say about the results of the linear regression?

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a) The results of the F-test for this linear regression can't rule out that all the coefficients on the independent variables are equal to 0

b) The results of the F-test for this linear regression suggests that all of the coefficients on the independent variables are different from 0

c) The results of the F-test for this linear regression suggests that at least one of the coefficients on the independent variables isn't equal to 0

d) There isn't enough information to determine a conclusion

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