1. Can the amount of carbohydrates in a breakfast cereal be predicted from the amount of sugar in the cereal? Carbohydrates, in grams per serving, and Sugar Content, in grams per serving, are recorded for ten Kellogg's breakfast cereals. The correlation coefficient is equal to 0.895. The least squares regression line:

Carbohydrates = 24.816 - 0.932 Sugar

Which of the following statements is TRUE?

a. For every additional gram of sugar per serving, we predict an increase in carbohydrates of 0.932 grams per serving.

b. Regression on sugar content accounts for 89.5% of the variation in carbohydrates.

c. It would be inappropriate to predict the carbohydrate contents of a cereal with 10 grams of sugar per serving, as there are no cereals in this sample with that amount of sugar.

d. Adding more sugar to cereal causes carbohydrates to decrease.

e. A good prediction of the carbohydrate content of a cereal with 24 grams of sugar per serving is 2.448 grams per serving.

Refer to the previous question. Kellogg's Special K cereal has 4 grams of sugar and 22 grams of carbohydrates per serving. What is the value of the residual for Special K?

a. 21.088

b. 0.912

c. -0.912

d. -0.312

e. 0.312