Foot ulcers are a common problem for people with diabetes. Higher skin temperatures on the foot indicate an increased risk of ulcers. In a study performed at the Colorado School of Mines, skin temperatures on both feet were measured, in degrees Fahrenheit, for8 diabetic patients. The results are presented in the following table.

Left Foot: 85,88,78,89,76,80,89,87

Right Foot: 85,89,78,90,81,80,86,82

(a) Compute the least-squares regression line for predicting the right foot temperatures from the left foot temperature. Round the slope andy-intercept values to four decimal places.

(b) Draw a scatterplot of the right foot temperature (y) versus the left foot temperature (x).

(c) Draw the least-squares regression line on the graph.

(d) If the left foot temperatures of two patients differ by5degrees, by how much would you predict their right foot temperatures to differ? Round the answer to three decimal places.

(e) Predict the right foot temperature for a patient whose left foot temperature is82

degrees. Round the answer to one decimal place.