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. Click the icon to view the data table of calories, alcohol percentage, and carbohydrates. a.Perform a multiple linear regression analysis, using calories as the dependent variable and percentage alcohol and number of carbohydrates as the independent variables. Let X, represent alcohol percentage and let X₂ represent the number of carbohydrates. Ỹ = H(Dx+(DX (Round to four decimal places as needed.) b.Add quadratic terms for alcohol percentage and the number of carbohydrates. =+x₁ + x₂ + x² + x²

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Calories    Alcohol%    Carbohydrates
218    6.5    19.7
70    0.4    13.3
192    6.0    13.1
55    2.4    1.9
215    7.5    19.8
64    2.8    2.4
220    8.0    14.6
114    3.8    8.3
222    8.1    16.0
110    3.9    8.3
94    4.1    2.6
95    4.1    2.6
95    4.1    3.2
103    4.1    5.0
103    4.1    5.5
110    4.1    7
124    4.1    9.7
222    8.1    16.0
110    4.1    7.4
269    8.7    18.6
105    4.2    5.7
330    9.6    32.1
95    4.2    3.2
292    10.5    15.0
96    4.2    3.2
314    10.5    18.9
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    7.0    18

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.
Click the icon to view the data table of calories, alcohol percentage, and carbohydrates.
a.Perform a multiple linear regression analysis, using calories as the dependent variable and percentage alcohol and
number of carbohydrates as the independent variables.
Let X, represent alcohol percentage and let X₂ represent the number of carbohydrates.
Ỹ =
H(Dx+(DX
(Round to four decimal places as needed.)
b.Add quadratic terms for alcohol percentage and the number of carbohydrates.
ŷ=+*₁ + x₂ + x² + x²
Transcribed Image Text: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. Click the icon to view the data table of calories, alcohol percentage, and carbohydrates. a.Perform a multiple linear regression analysis, using calories as the dependent variable and percentage alcohol and number of carbohydrates as the independent variables. Let X, represent alcohol percentage and let X₂ represent the number of carbohydrates. Ỹ = H(Dx+(DX (Round to four decimal places as needed.) b.Add quadratic terms for alcohol percentage and the number of carbohydrates. ŷ=+*₁ + x₂ + x² + x²
Calculate the test statistics.
=
The test statistic for the alcohol quadratic term, P3, is tSTAT
The test statistic for the carbohydrate quadratic term, B4, is tSTAT
Transcribed Image Text:Calculate the test statistics. = The test statistic for the alcohol quadratic term, P3, is tSTAT The test statistic for the carbohydrate quadratic term, B4, is tSTAT
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