Foot ulcers are a common problem for people with diabetes. Higher skin temperatures on the foot indicate an increased risk of ulcers. The article "An Intelligent Insole for Diabetic Patients with the Loss of Protective Sensation" (Kimberly Anderson, M.S. Thesis, Colorado School of Mines) reports measurements of temperatures, in \({ }^{\circ} \mathrm{F}\), of both feet for 18 diabetic patients. The results are presented in the following table.

a. Construct a scatterplot of the right foot temperature (y) versus the left foot temperature ( \(x\) ). Verify that a linear model is appropriate.

b. Compute the least-squares line for predicting the right foot temperature from the left foot temperature.

c. If the left foot temperatures of two patients differ by \(2^{\circ} \mathrm{F}\), by how much do you predict their right foot temperatures will differ?

d. Predict the right foot temperature for a patient whose left foot temperature is \(81^{\circ} \mathrm{F}\).

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Left Foot 80 85 75 88 89 87 78 88 89 Right Foot 80 85 80 86 87 82 78 89 90 Left Foot 76 89 87 78 80 87 86 76 88 Right Foot 81 86 82 78 81 82 85 80 89