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mkjmabrey mkjmabrey
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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)

PredictorCoefSE CoefTP
Constant6.6817.640.380.715
Fat (g)9.6091.4526.620.000
Carbs (g)3.43500.315510.890.000
Protein (g)4.4182.2311.980.083

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

Analysis of Variance

SourceDFSSMSFP
Regression311686738956222.580.000
Residual Error81400175
Total11118267


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.

A dotplot depicts the results of the conditions for a multiple linear regression. The horizontal axis is labeled, Residuals and has markings from negative 25 to 10 in increments of 5. The dots are plotted as follows: 1 dot above negative 25, negative 16, negative 7, negative 2, negative 1, 1, 5, 6, 7, 10, 11, and 12. There are no dots above negative 20, negative 10, negative 5, and 0. All values are approximate.
A scatterplot with regression line shows the relationship between predicted calories and residual. The horizontal axis is labeled, Predicted calories and has markings from 100 to 500 in increments of 100. The vertical axis is labeled, Residual and has markings from negative 30 to 10 in increments of 10. The concentration of the dots is more between the points 100 and 280 on the horizontal axis and between the points, negative 10 and 10 on the vertical axis. The regression line starts from (80, 0), extends horizontally to the right, and ends at (510, 0). Below the line, five dots are plotted at the points, (100, negative 1), (120, negative 7), (270, negative 17), (280, negative 27), and (460, negative 1). Above the line, seven dots are plotted at the points, (170, 11), (190, 1), (200, 7), (240, 4), (250, 5), (260, 9), and (390, 11). All values are approximate.
Textbook 
Statistics: Unlocking the Power of Data

Statistics: Unlocking the Power of Data


Edition: 3rd
Authors:
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joshamjosham
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