Question

Suppose the following are the results of a linear regression with the voter turnout rate in...

Suppose the following are the results of a linear regression with the voter turnout rate in a county as a percentage in decimal form as the dependent variable and the unemployment rate and the amount of rain on election day in inches as the independent variables. The unemployment rate is a percentage in decimal form. The coefficient on the unemployment rate is 4.132 with a p-value of 0.003. The coefficient on the amount of rain on election day in inches is −0.0258 with a p-value of 0.043. What can be said about the relationship between the voter turnout rate and the unemployment rate?

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An increase in the unemployment rate of 5 percentage points increases the voter turnout rate by 10.66 percentage points on average

An increase in the unemployment rate of 5 percentage points reduces the voter turnout rate by 12.9 percentage points on average

An increase in the unemployment rate of 5 percentage points increases the voter turnout rate by 20.66 percentage points on average

At a 5% Level of Significance, the unemployment rate doesn’t have a statistically significant impact on the turnout rate

Math   Statistics-And-Probability   
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Answer #1

The coefficient on the unemployment rate is given 4.132. Also, the p-value of the coefficient is given to be 0.003, which is significant at a significance level of =0.05. Thus the unemployment rate has a statistically significant impact on the turnout rate. Also, the relationship is positive which implies with an increase in the unemployment rate voter turnout increases by 4.132.

Now, if there is an increase of 5% in the unemployment rate then voter turnout increases then the percentage increase in voter turnout is 4.132*5 = 20.66. Thus the correct option is: An increase in the unemployment rate of 5 percentage points increases the voter turnout rate by 20.66 percentage points on average

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