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.

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ISBN:9781119256830
Author:Amos Gilat
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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.

 

b. 
Add quadratic terms for alcohol percentage and the number of carbohydrates.
1e and carbohudrates
1 Data table of calories, alcohol %, and carbohydrates
Full Data Table
Calories
Alcohol % Carbohydrates
6.6
Calories
Alcohol % Carbohydrates
7.4
110
110
113
4.2
4.1
4.3
70
110
0.4
13.3
7.0
1.9
7.0
6.7
105
4.2
5.7
4.2
2.4
55
128
4.3
11.4
110
4.2
95
138
4.2
4.3
3.2
64
2.8
2.4
12.5
116
4.2
8.0
96
4.2
3.2
114
3.8
8.3
11.5
111
4.4
5.8
135
4.2
174
6.1
11.1
110
3.9
8.3
179
6.4
10.6
94
4.1
2.6
181
6.5
10.6
95
95
103
103
4.1
2.6
188
6.5
12.7
4.1
3.2
200
6.6
17
4.1
5.0
215
6.7
19.3
4.1
5.5
214
6.8
19.4
110
4.1
7
231
6.9
20
124
4.1
9.7
200
7.0
18
99
4.3
3.1
Transcribed Image Text:1e and carbohudrates 1 Data table of calories, alcohol %, and carbohydrates Full Data Table Calories Alcohol % Carbohydrates 6.6 Calories Alcohol % Carbohydrates 7.4 110 110 113 4.2 4.1 4.3 70 110 0.4 13.3 7.0 1.9 7.0 6.7 105 4.2 5.7 4.2 2.4 55 128 4.3 11.4 110 4.2 95 138 4.2 4.3 3.2 64 2.8 2.4 12.5 116 4.2 8.0 96 4.2 3.2 114 3.8 8.3 11.5 111 4.4 5.8 135 4.2 174 6.1 11.1 110 3.9 8.3 179 6.4 10.6 94 4.1 2.6 181 6.5 10.6 95 95 103 103 4.1 2.6 188 6.5 12.7 4.1 3.2 200 6.6 17 4.1 5.0 215 6.7 19.3 4.1 5.5 214 6.8 19.4 110 4.1 7 231 6.9 20 124 4.1 9.7 200 7.0 18 99 4.3 3.1
Let X, represent alcohol percentage and let X, represent the number of carbohydrates.
ŷ = - 0.1426 + ( 19.8187 )x, + ( 4.2690) ×z
(Round to four decimal places as needed.)
b. Add quadratic terms for alcohol percentage and the number of carbohydrates.
P=D+ (OX, + (DX2 + (Ox; + (Ox?
(Round to four decimal places as needed.)
Transcribed Image Text:Let X, represent alcohol percentage and let X, represent the number of carbohydrates. ŷ = - 0.1426 + ( 19.8187 )x, + ( 4.2690) ×z (Round to four decimal places as needed.) b. Add quadratic terms for alcohol percentage and the number of carbohydrates. P=D+ (OX, + (DX2 + (Ox; + (Ox? (Round to four decimal places as needed.)
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