Please note that this question consists of seven parts. Show…
Please note that this question consists of seven parts. Show all your work. Just giving the answer without showing work may result in zero for the question. There is a dataset on crime which gives demographic characteristics of 84 medium-sized U.S. counties. The overall purpose for the data set is to analyze factors that predict crime. The variable “crime” is the crime rate reported per 100,000 residents last year. The variable “edu” is the percentage of individuals in the county having at least a high-school diploma. The researcher is interested in developing a regression model to predict “crime” based on “edu” using this dataset. The partial output of the regression analysis is provided below. Based on the output above, write down the least squares regression line for predicting “crime” using “edu”. Interpret the slope parameter in the context of this problem. We want to see if there is convincing evidence that the “crime” decreases as the “edu” increases. Write the appropriate null and alternative hypothesis you would formulate to test this. Calculate the test statistic. Calculate the p-value. You may use the table or MINITAB to find the final p-value; however, you need to write the probability statement for the p-value for this test. Based on the p value you obtained, what conclusion can you draw? (You may use 5% significance level to make the conclusion.) What is the correlation coefficient between “crime” and “edu”?