Seventy-six Starbucks food items were analyzed for the calorie and carbohydrate content. We used linear regression to explore the relationship between the number of calories and amount of carbohydrates (in grams) Starbucks food menu items contain. The estimated regression equation with carbohydrates as the response variable and the calories as the explanatory variable is ?y = 8.94 + 0.11x, and summary statistics of the two variables is provided below.

variable min Q1 median Q3 max mean sd n missing

calories 80 300 350 420 500 338.8 105.4 77 0

carbohydrates 16 31 45 59 80 44.9 16.6 77 0

Based on the figures, which of the following statements is false?

a. There is a positive linear association between number of calories and amount of carbohydrates.

b. Because the residuals are approximately normally distributed we can conclude that all food menu items are independent.

c. Non-constant variance is evident as the variability in the residuals is increasing for increasing values of calories.

d. All statements are true.

Transcribed Image Text:

100 200 Calories 300 Standardized Residuals 400 500 100 200 Calories 300 400 500 -3 -2 -1 0 1 2 O Carb (in grams) 20 30 40 50 60 70 80 O ooo o ooo dº 800 00000 800 Standardized Residuals -2 -1 0 1 2 @oo bo 50 0⁰ 0 000 80 1000 。 90%° Frequency °°° 0 2 4 6 8 10 14 100 200 Calories 300 Standardized Residuals 400 500 100 200 Calories 300 400 500 -3 -2 -1 0 1 2 O Carb (in grams) 20 30 40 50 60 70 80 O ooo o ooo dº 800 00000 800 Standardized Residuals -2 -1 0 1 2 @oo bo 50 0⁰ 0 000 80 1000 。 90%° Frequency °°° 0 2 4 6 8 10 14

Answer rating: 100% (QA)

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