(12 points) Broadband internet and poverty rates ~ Data from the 2019 American Community Survey records the percent of the population below the poverty level (Poverty) and the percent of households that have a broadband internet subscription (Broadband) for each county in the United States. Grant is a statistics student. For a class project, he selects a random sample of 120 US counties for which this data is recorded and constructs a linear regression model using Poverty as the explanatory variable and Broadband as the response variable. A scatterplot of Grant's data is shown. US County Data 2019 90 85 80 75 Percent of households that have broadband internet 70 65 o 5 10 15 20 25 30 35 Percent of population below the poverty level Grant uses statistical software to fit a linear model to the data. A summary of that model fit is given below: Coefficients Estimate Std Error t value |Pr( > [+1) (Intercept) 93.72922 1.30609 71.7633 2e-16 Poverty -0.98604 0.08024 -12.28919 2e-16 Residual standard error: 4.63316 on 118 degrees of freedom Multiple R-squared: 0.56138, Adjusted R-squared: 0.55766 1. Use the computer output to write the estimated linear regression equation for predicting Broadband from Poverty. y = Interpret the slope and intercept of the linear regression model:Interpret the slope and intercept of the linear regression model: 2. An increase of 1 point in Poverty is associated with a(n) ? of in Broadband. 3. A county with a Poverty value of 0 would have an expected value of in Broadband. 4. Which of the following is the correlation coefficient for the linear relationship between Poverty and Broadband? O A. -0.7493 O B. 0.7493 O C. -0.5577 O D. 0.5614 5. What are the null and alternative hypotheses to test if there is a linear relationship between Poverty and Broadband? O A. Ho : B1 = bj vs. HA : B1 # by O B. Ho : b, = Ovs. HA : b, # 0 O C. Ho : B1 = Ovs. HA : B1 0 O D. Ho : B1 = Ovs. HA : B1 >0 6. Based on the computer output, what is the test statistic for the test in part 5? Test statistic: 7. Based on the computer output, the results of the hypothesis test tell us that we have ? evidence that there ? * a linear relationship between Poverty and Broadband. 8. In Arkansas, Saline County has a Poverty value of 9.2. Calculate the estimated value for this county's Broadband value that is predicted by the linear model. Estimated value = 9. Saline County's actual Broadband value was 83.4. Use this information and your result from part 8 to calculate the residual for this county. Residual =