In New Jersey, banks have been charged with withdrawing from counties having a high percentage of minorities. To substantiate this charge, P. D'Ambrosio and S. Chambers (1995) present the data in the following table concerning the percentage, x, of minority population and the number of county residents, y, per bank branch in each of New Jersey's 21 counties. County Atlantic Bergen Burlington Camden Cape May Cumberland Essex Gloucester Hudson Hunterdon Mercer Middlesex Monmouth Morris Ocean Passaic Salem Somerset Sussex Union Warren Percentage of Minority Population, x 23.3 13.0 17.8 23.4 7.3 26.5 48.8 10.7 33.2 3.7 24.9 18.1 12.6 8.2 4.7 28.1 16.7 12.0 2.4 25.6 2.8 Number of Residents Per Bank Branch, y 3,073 2,095 2,905 3,330 1,321 2,557 3,474 3,068 3,683 1,998 2,607 3,154 2,609 2,253 2,317 3,307 2,511 2,333 2,568 3,048 2,349 (a) By a scatter plot discuss why a simple linear regression can explain the relationship between x and y. (b) Use R (minitab,...) and fit a simple linear regression (c) Interpret the regression coefficients (d) Test significance of the coefficients (e) For 50% minority of the population, predict the number of residents per bank branch.