2. One of the interesting developments of the Covid pandemic has been the politicization of the vaccine. To explore this development we look at the following regression output based on data for all 50 states. The explanatory variable is the percent of the votes cast for Democratic president Joe Biden in the 2020 election. The response variable is the percent of the state's adult population who is fully vaccinated as of November 17. As an example, the data point representing Ohio is (45.24, 52.5). Use the output to answer the following questions. For the entire problem you can assume that regression assumptions are met. Coefficients: (Intercept) 24.61108 percent_vote 0.67964 Estimate Std. Error t value Prlt|) 2.72840 0.05593 9.02 6.62e-i2 *** 12.15 2.96e-16 *** signif. codes: 0 ***** 0.001 **** 0.01 *' 0.05 '.' 0.1''1 Residual standard error: 4.055 on 48 degrees of freedom Multiple R-squared: 0.7547, F-statistic: 147.7 on 1 and 48 DF, p-value: 2.955e-16 Adjustēd R-squared: 0.7496 a. Test an appropriate hypothesis at a = .05 to determine if there is a linear relationship between the percent of a state's votes cast for Biden and the vaccination rate. b. The percent who voted for Biden was 9.09 percentage points higher in Ohio than in Kentucky. How much higher of a percentage of Ohio adults would we expect to be vaccinated than Kentucky adults? C. What is the residual for the state of Ohio?
2. One of the interesting developments of the Covid pandemic has been the politicization of the vaccine. To explore this development we look at the following regression output based on data for all 50 states. The explanatory variable is the percent of the votes cast for Democratic president Joe Biden in the 2020 election. The response variable is the percent of the state's adult population who is fully vaccinated as of November 17. As an example, the data point representing Ohio is (45.24, 52.5). Use the output to answer the following questions. For the entire problem you can assume that regression assumptions are met. Coefficients: (Intercept) 24.61108 percent_vote 0.67964 Estimate Std. Error t value Prlt|) 2.72840 0.05593 9.02 6.62e-i2 *** 12.15 2.96e-16 *** signif. codes: 0 ***** 0.001 **** 0.01 *' 0.05 '.' 0.1''1 Residual standard error: 4.055 on 48 degrees of freedom Multiple R-squared: 0.7547, F-statistic: 147.7 on 1 and 48 DF, p-value: 2.955e-16 Adjustēd R-squared: 0.7496 a. Test an appropriate hypothesis at a = .05 to determine if there is a linear relationship between the percent of a state's votes cast for Biden and the vaccination rate. b. The percent who voted for Biden was 9.09 percentage points higher in Ohio than in Kentucky. How much higher of a percentage of Ohio adults would we expect to be vaccinated than Kentucky adults? C. What is the residual for the state of Ohio?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:2.
One of the interesting developments of the Covid pandemic has been the
politicization of the vaccine. To explore this development we look at the following regression output
based on data for all 50 states. The explanatory variable is the percent of the votes cast for
Democratic president Joe Biden in the 2020 election. The response variable is the percent of the
state's adult population who is fully vaccinated as of November 17. As an example, the data point
representing Ohio is (45.24, 52.5). Use the output to answer the following questions. For the entire
problem you can assume that regression assumptions are met.
Coefficients:
(Intercept) 24.61108
percent_vote 0.67964
Estimate Std. Error t value Pr(>|t|)
2.72840
0.05593
9.02 6.62e-12 **
12.15 2.96e-16 ***
signif. codes: 0 ***** 0.001 **** 0.01 **' 0.05 '.' 0.1 ' 1
Residual standard error: 4.055 on 48 degrees of freedom
Multiple R-squared: 0.7547,
F-statistic: 147.7 on 1 and 48 DF, p-value: 2.955e-16
Adjusted R-squared: 0.7496
a.
Test an appropriate hypothesis at a =
to determine if there is a linear relationship
between the percent of a state's votes cast for Biden and the vaccination rate.
b.
The percent who voted for Biden was 9.09 percentage points higher in Ohio than in Kentucky.
How much higher of a percentage of Ohio adults would we expect to be vaccinated than Kentucky
adults?
C.
What is the residual for the state of Ohio?
d.
What percent of the variation in vaccination rates can be explained by the linear relationship
between percent of the vote for Biden and vaccination rates?
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