1. The U.S. Food and Drug Administration (FDA) requires nutrition labeling for most foods. Under FDA regulations, manufacturers are required to list the amounts of certain nutrients in their foods, such as calories, sugar, fat, and carbohydrates. This nutritional information is displayed on the foods package.

Calories (C)	Sugar (S)	Fat (F)	Carbohydrates (R)
100	12	0.5	25
130	11	1.5	29
100	1	2	20
130	15	2	31
130	13	1.5	29
120	3	0.5	26
100	2	0	24
120	10	0	29
150	16	1.5	31
110	4	0	25
110	12	1	25
150	15	0	36
160	15	1.5	35
150	12	2	29
150	15	1.5	29
110	6	1	23
190	19	1.5	45
100	3	0	23
120	4	0.5	23
120	11	1.5	28
130	5	0.5	29

1. Find the equation of a regression line for each pair of variables

1. Calories, sugar

2. Calories, carbohydrates

2. Use the results of the previous exercise to predict each value.

1. The sugar content of one cup of cereal that has 120 calories.

2. The carbohydrate content of one cup of cereal that has 120 calories.

3. Find the multiple regression equations of each form

1. C=0+ 1S+ 2F+ 3R

2. C=a0+a1S+a2R

4. Use the results from part iii) above, to predict the calories in 1 cup of cereal that has 7 grams of sugar, 0.5 grams of fat, and 31 grams of carbohydrates.