The number of calories and number of grams of sugar per serving were measured for 36 breakfast cereals. The data are in the file Cereal, containing columns Cereal Name, Number of Calories, Amount of Sugar and Amount of Fiber, in that order. We are interested in trying to predict the number of calories using the sugar content (in grams).
a) Test the hypothesis that sugar content has a linear relationship with calories. Report and interpret the p-value for the test.
b) Find and interpret a 95% confidence interval for the slope of this regression model.