Suppose you want to conduct an Exclusion Restriction Test. You estimate the Unrestricted Linear Regression with the vaccination rate in a county as a percentage in decimal form as the dependent variable and population density, the number of nurses per 1,000 residents, the average temperate in April, and the average rainfall in inches in April as the independent variables. You estimate the Restricted Linear Regression with the vaccination rate in a county as a percentage in decimal form as the dependent variable and population density and the number of nurses per 1,000 residents as the independent variables. From the Exclusion Restriction Test, you get the F-statistic is 0.098 with a p-value of 0.546. At a Level of Significance of 5%, what does the Exclusion Restriction Test say about the Linear Regression?

Group of answer choices

a) The results of the Exclusion Restriction Test suggest that the average temperate in April and the average rainfall in inches in April may be excluded from the Linear Regression

b) The results of the Exclusion Restriction Test suggest that both the coefficients on the average temperate in April and the average rainfall in inches in April aren't equal to 0

c) The results of the Exclusion Restriction Test suggest that at least one of the coefficients on the average temperate in April and the average rainfall in inches in April isn't equal to 0 so it may be beneficial to include these variables in the Linear Regression

d) The results of the Exclusion Restriction Test suggest that population density and the number of nurses per 1,000 residents may be excluded from the Linear Regression