Seventy-seven Starbucks food items were analyzed for the calorie and carbohydrat
ID: 3251425 • Letter: S
Question
Seventy-seven 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) that Starbucks food menu items contain. The estimated regression equation with carbohydrates as the response variable and the calories as the explanatory variable is:
Summary statistics of the two variables are provided below:
Which of the following is a true statement regarding the slope?
There is a positive association between calorie and carbohydrate content; however, because the slope is small the association between calories and carbohydrates is weak.
A food item that has 100 calories above average is expected to have carbohydrates 1.1 grams over average.
Because the lowest calorie content of food observed is 80, and 0.11 calories is well below this lowest value, this is extrapolation and cannot be trusted.
All statements are true.
None of the above statements are true
What is the interpretation of the intercept?
Food items with 338.8 calories are estimated to have 894 grams of carbohydrates.
Food items with 0 grams of carbohydrates are estimated to have 8.94 calories.
Food items with zero calories are estimated to have 8.94 grams of carbohydrates.
Food items with 0.11 calories are estimated to have 8.94 grams of carbohydrates.
8.94% of the variability in carbohydrates can be explained by calories.
What can we say about a food item that contains 300 calories and 50 grams of carbohydrates?
None of these statements is true.
The carbohydrate content of this food item is predicted perfectly by the linear model.
The carbohydrate content of this food is overestimated by the model by about 8 grams.
The carbohydrate content of this food item is underestimated by the model by about 8 grams.
The carbohydrate content of this food item is overestimated by the model by about 42 grams.
What is the correlation between calories and carbohydrates?
0.110
Not enough information to determine
0.017
0.9834
0.698
variable min Q1 median Q3 max mean sd n calories 80 300 350 420 500 338.8 105.4 77 carbohydrates 16 31 45 59 80 44.9 16.6 77Explanation / Answer
Which of the following is a true statement regarding the slope?
Answer : There is a positive association between calorie and carbohydrate content; however, because the slope is small the association between calories and carbohydrates is weak.
What is the interpretation of the intercept?
Answer : Food items with zero calories are estimated to have 8.94 grams of carbohydrates.
What can we say about a food item that contains 300 calories and 50 grams of carbohydrates?
Answer : The carbohydrate content of this food item is predicted perfectly by the linear model.
What is the correlation between calories and carbohydrates?
Answer : 0.110
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