Election analysis ~The 2000 presidential election between Al Gore and George W. Bush was the closest presidential election in the history of the United States. A social historian is investigating the relationship between race and voting results in that election. For a random sample of 140 counties in the state of Georgia, the historian obtains the percentage of county residents who were African American (AA), and the percentage of votes for Al Gore. Percentage AA (perAA) is the X variable and Percentage vote for Al Gore (perGore) is the Y variable in this scenario.Round all calculated answers to 4 decimal places.A linear regression model was fitted to the data using the statistical software, R. A scatter plot of the data and a summary of the model fit is given below:

Coefficients	Estimate	Std Error	t value	Pr(>|t|)Pr(>|t|)
(Intercept)	26.27	0.6514	40.323	3.11e-78
perAA	0.594	0.0226	26.28	1.43e-55

Residual standard error: 4.227 on 138 degrees of freedom Multiple R-squared: 0.8335, Adjusted R-squared: 0.83231.The relationship between the percentage of African American county residents,perAA, and the percentage of ballots cast for Al Gore,perGore, is best described as ??? Positive Negative and ??? Linear Nonlinear .2.Use the computer output to complete the sentence:For each additional 1 percentage point of African American county residents,perAA, there is an associated ??? increase decrease in the percentage of votes for Al Gore,perGore, of 3.What is the proportion of variability in the percentage of votes for Al Gore that can be explained by the linear relationship to the percentage of African American county residents? 4.What is the expected value of the percentage of votes for Al Gore when the percentage of African American county residents is 0? 5What is the standard error value you would use to construct a confidence interval for the slope,11? 6. Calculate a 99% confidence interval for the slope,11.( , )7.What are the null and alternative hypotheses to test if there is a linear relationship between the percentage of African American county residents and the percentage of votes for Al Gore?A.H0:b1=0H0:b1=0vs.HA:b10HA:b10 B.H0:1=0H0:1=0vs.HA:10HA:10 C.H0:1=0H0:1=0vs.HA:1>0HA:1>0 D.H0:1=b1H0:1=b1vs.HA:1b1HA:1b18.Based on the p-value reported on the computer output, we have ? Little Some Strong Very Strong Extremely Strong evidence that there ? is is not a linear relationship between the percentage of African American county residents and the percentage of votes for Al Gore.9.12.6617% of the residents of one county were African American. What is the estimated percentage of votes for Al Gore for this county? 10.27.0736% of the residents from the county in part9actually voted for Gore. Use your calculation from part9to calculate the residual of this county.