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# Use the following to answer the questions below:While many people count calories, some often don't ...

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Use the following to answer the questions below:

While many people count calories, some often don't think about calories in the beverages they consume. Starbucks, one of the leading coffeehouse chains, provides nutrition information about all of their beverages on their website. Nutrition information, including number of calories, fat (g), carbohydrates (g), and protein (g), was collected on a random sample of Starbucks' 16 ounce ("Grande") hot espresso drinks. Note that all of the drinks in the sample are made with 2% milk unless the name specifically included the term "Skinny," which is how Starbucks indicated a beverage made with nonfat milk.

The regression equation is
Calories = 6.7 + 9.61 Fat (g) + 3.43 Carbs (g) + 4.42 Protein (g)

 Predictor Coef SE Coef T P
 Constant 6.68 17.64 0.38 0.715
 Fat (g) 9.609 1.452 6.62 0
 Carbs (g) 3.435 0.3155 10.89 0
 Protein (g) 4.418 2.231 1.98 0.083

S = 13.2293        R-Sq = 98.8%        R-Sq(adj) = 98.4%

Analysis of Variance

 Source DF SS MS F P
 Regression 3 116867 38956 222.58 0
 Residual Error 8 1400 175
 Total 11 118267

A dotplot of the residuals and a scatterplot of the residuals versus the predicted values are provided. Discuss whether the conditions for a multiple linear regression are reasonable by referring to the appropriate plots.

Textbook

## Statistics: Unlocking the Power of Data

Edition: 3rd
Authors:
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joshamjosham
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