In recent years, fast food restaurants have been required to publish nutrition information about the foods they serve. Nutrition information about a random sample of 15 Mcdonald's lunch/dinner menu items was obtained from their website. We wish to use the sodium content (in milligrams) to better understand the number of calories

The regression equation is Calories = 98.79 + 0.3589 Sodium (mg)

predictor Coef Se Coef T P

Constant 98.79 30.64

Sodium (mg) 0.3589 0.0709

R-Sq =^9% R-Sq(adj.) = 70.5%

a. Construct a 99% confidence interval for the population slope

b. What is the test statistic to test the slope to determine whether the total gram of sodium is an effective predictor of the number of calories