A study was carried out into the attendance rate at a hospital of people in 16 different geographical areas, over a fixed period of time. The distance of the centre from the hospital of each area was measured in miles. The results were as follows: (1) 21%, 6.8; (2) 12%, 10.3; (3) 30%, 1.7; (4) 8%, 14.2; (5) 10%, 8.8; (6) 26%, 5.8; (7) 42%, 2.1; (8) 31%, 3.3; (9) 21%, 4.3; (10) 15%, 9.0; (11) 19%, 3.2; (12) 6%, 12.7; (13) 18%, 8.2; (14) 12%, 7.0; (15) 23%, 5.1; (16) 34%, 4.1. a. What is the correlation coefficient between the attendance rate and mean distance of the geographical area? b. If the values of x from the data represent mean distance of the area from the hospital and values of y represent attendance rates, what is the equation for the regression of y on x? What does it mean? c. Find the standard error and 95% confidence interval for the slope