Question 3 8 pts Health scientists conducting research on human biometrics, interviewed a simple random sample of 277 adult, U.S. males. Among other data, they recorded the waist circumference (in cm) and weight (in kg) of all the subjects, and calculated the following sample statistics: ac = 100.1 Sx = 14.94 y = 85.5 Sy = 17.65 ray = 0.8852 where xi = waist circumference of the ith subject and y; = weight of the ith subject. The scatter-plot for the waist-weight data is below. Waist Cicumference and Weight 160.0 140.0 120.0 100.0 Weight (kg 80 60.0 40.0 20.0 60.0 70.0 80.0 90.0 100.0 110.0 120.0 .0 130.0 140.0 150.0 160.0 Wasit Circumference (cm) (a) (1 pts) Does a linear model seem appropriate here, based on the given information? Justify your answer briefly. (b) (2 pts) Regardless of how you answered (a), use the given statistics to find the regression equation for predicting a man's weight from his waist circumference. Show how you find the coefficients