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 12ounces, the alcohol percentage, and the number of carbohydrates (in grams) per 12 ounces.
Unitary Method
The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.
Speed, Time, and Distance
Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.
Profit and Loss
The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.
Units and Measurements
Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.
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 12ounces, the alcohol percentage, and the number of carbohydrates (in grams) per 12 ounces.
b.
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Add quadratic terms for alcohol percentage and the number of carbohydrates.
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![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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6e9f74db-68ca-409f-99ca-c3b15e89955c%2F273cf15b-e189-43f3-8edb-ed615caa1e0f%2Fz19ibk_processed.jpeg&w=3840&q=75)
![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.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6e9f74db-68ca-409f-99ca-c3b15e89955c%2F273cf15b-e189-43f3-8edb-ed615caa1e0f%2Fyyjwk3i_processed.jpeg&w=3840&q=75)
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