1. (55 points total) A criminalogist studying the relationship between level of education and crime rate in medium-sized U.S. counties collected data for a random sample of 84 counties; listed first is Y, the crime rate (crimes reported per 100,000 residents) and then X, the percent of individuals in the county who have at least a high school diploma. The data is contained in crimes.txt". a. (10 points) Submit your SAS code for this question. b. (5 points) Give the simple linear regression model. What is the meaning of ? Give your answer as a comment in your SAS program. c. (5 points) Create a scatterplot of the data. Does there appear to be a linear relationship between X and Y? If so, does it appear to be strong or weak? Give your answer as a comment in your SAS program. d. (5 points) Give the estimated regression equation as a comment in your SAS program. e. (5 points) If there are two counties whose high school graduation rates differ by one percentage point, give an estimate of the difference in their mean crime rates as a comment in your SAS program. f. (5 points) Perform a test at a = .05 to determine if the linear relationship between X and Y is significant. Write the hypotheses, test statistic, P-value, conclusion, and interpretation as a comment in your SAS program. g. (5 points) Give a 95% confidence interval for the slope parameter as a comment in your SAS program. h. (5 points) Give a 95% confidence interval estimate of the mean crime rate for counties with a 70% high school graduation rate as a comment in your SAS program. i. (5 points) Suppose a county has a graduation rate of 74%. Give a 95% prediction interval for its crime rate next year as a comment in your SAS program. j. (5 points) Give and interpret the value of R as a comment in your SAS program.