Question

Is the number of calories in a beer related to the number of carbohydrates and/or the percentage of alcohol in the beer? The accompanying table has data for 35 beers. The values for three variables are included: the number of calories per 12 ounces, the alcohol percentage, and the number of carbohydrates (in grams) per 12 ounces. Complete parts a through d. Calories Alcohol% Carbohydrates 110 4.2 6.6 70 0.4 13.3 110 4.2 7 55 2.4 1.9 110 4.2 7 64 2.8 2.4 116 4.2 8 114 3.8 8.3 135 4.2 11.5 110 3.9 8.3 94 4.1 2.6 95 4.1 2.6 95 4.1 3.2 103 4.1 5 103 4.1 5.5 110 4.1 7 124 4.1 9.7 99 4.3 3.1 110 4.1 7.4 113 4.3 6.7 105 4.2 5.7 128 4.3 11.4 95 4.2 3.2 138 4.3 12.5 96 4.2 3.2 111 4.4 5.8 174 6.1 11.1 179 6.4 10.6 181 6.5 10.6 188 6.5 12.7 200 6.6 17 215 6.7 19.3 214 6.8 19.4 231 6.9 20 200 7 18 Perform a multiple linear regression analysis, using calories as the dependent variable and percentage alcohol and number of carbohydrates as the independent variables. Let X1 represent alcohol percentage and let X2 represent the number of carbohydrates. Modifying Y with caret equals nothing plus left parenthesis nothing right parenthesis X1 plus left parenthesis nothing right parenthesis X2

          Is the number of calories in a beer related to the number of carbohydrates and/or the percentage of alcohol in the beer? The accompanying table has data for 35 beers. The values for three variables are included: the number of calories per 12 ounces, the alcohol percentage, and the number of carbohydrates (in grams) per 12 ounces. Complete parts a through d.

Calories
Alcohol%
Carbohydrates
110
4.2
6.6
70
0.4
13.3
110
4.2
7
55
2.4
1.9
110
4.2
7
64
2.8
2.4
116
4.2
8
114
3.8
8.3
135
4.2
11.5
110
3.9
8.3
94
4.1
2.6
95
4.1
2.6
95
4.1
3.2
103
4.1
5
103
4.1
5.5
110
4.1
7
124
4.1
9.7
99
4.3
3.1
110
4.1
7.4
113
4.3
6.7
105
4.2
5.7
128
4.3
11.4
95
4.2
3.2
138
4.3
12.5
96
4.2
3.2
111
4.4
5.8
174
6.1
11.1
179
6.4
10.6
181
6.5
10.6
188
6.5
12.7
200
6.6
17
215
6.7
19.3
214
6.8
19.4
231
6.9
20
200
7
18

Perform a multiple linear regression analysis, using calories as the dependent variable and percentage alcohol and number of carbohydrates as the independent variables.

Let X1 represent alcohol percentage and let X2 represent the number of carbohydrates.

Modifying Y with caret equals nothing plus left parenthesis nothing right parenthesis X1 plus left parenthesis nothing right parenthesis X2

Added by Karen T.

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