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Suppose the following are the results of a linear regression with the vaccination rate in a county as a percentage in decimal form as the

Suppose the following are the results of a 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. Population density is the number of residents per square mile. The coefficient on population density is 0.000057 with a p-value of 0.003. The coefficient on the number of nurses per 1,000 residents is 0.14 with a p-value of 0.09. The F-Statistic for the regression is 28.883 with a p-value less than 0.001. At a 5% Level of Significance, what can be said about the coefficient on the number of nurses per 1,000 residents?

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a) The coefficient on the number of nurses per 1,000 residents is statistically significant because the F-Statistic has a p-value less than 5%

b) The coefficient on the number of nurses per 1,000 residents is statistically significant because the p-value of the coefficient is greater than the Level of Significance of 5%

c) Based on the p-value of the coefficient on the number of nurses per 1,000 residents, the coefficient on the number of nurses per 1,000 residents isn't statistically significant

d) There isn't enough information to determine the statistical significance of the coefficient on the number of nurses per 1,000 residents

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