1. 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 v and Linear 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 v 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?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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Coefficients
Estimate
Std Error
t value Pr( > [t])
(Intercept)
26.13
0.6194
42.185
5.02e-84
perAA
0.6054
0.02096
28.886
1.77e-62
Residual standard error: 4.194 on 147 degrees of freedom
Multiple R-squared: 0.8502, Adjusted R-squared: 0.8492
1. 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
and Linear
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
v 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?
5 What is the standard error value you would use to construct a confidence interval for the slope, B1?
6. Calculate a 95% confidence interval for the slope, B1.
Transcribed Image Text:Coefficients Estimate Std Error t value Pr( > [t]) (Intercept) 26.13 0.6194 42.185 5.02e-84 perAA 0.6054 0.02096 28.886 1.77e-62 Residual standard error: 4.194 on 147 degrees of freedom Multiple R-squared: 0.8502, Adjusted R-squared: 0.8492 1. 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 and Linear 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 v 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? 5 What is the standard error value you would use to construct a confidence interval for the slope, B1? 6. Calculate a 95% confidence interval for the slope, B1.
8. Based on the p-value reported on the computer output, we have Extremely Strong
v evidence that there is
v a linear relationship
between the percentage of African American county residents and the percentage of votes for Al Gore.
9. 16.0181% of the residents of one county were African American. What is the estimated percentage of votes for Al Gore for this county?
10. 34.7629% of the residents from the county in part 9 actually voted for Gore. Use your calculation from part 9 to calculate the residual of this county.
Transcribed Image Text:8. Based on the p-value reported on the computer output, we have Extremely Strong v evidence that there is v a linear relationship between the percentage of African American county residents and the percentage of votes for Al Gore. 9. 16.0181% of the residents of one county were African American. What is the estimated percentage of votes for Al Gore for this county? 10. 34.7629% of the residents from the county in part 9 actually voted for Gore. Use your calculation from part 9 to calculate the residual of this county.
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