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 calories 80 300 350 420 500 338.8 105.4 77 carbohydrates 16 31 45 59 80 44.6 16.7 77 What is the interpretation of the intercept? e. Food items with 0 grams of carbohydrates are estimated to have 8.94 calories. c. Food items with 0.11 calories are estimated to have 8.94 grams of carbohydrates. d. Food items with 338.8 calories are estimated to have 8.94 grams of carbohydrates. b. Food items with zero calories are estimated to have 8.94 grams of carbohydrates. a. 8.94% of the variability in carbohydrates can be explained by calories.
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Several items from the menu at Starbucks were analyzed in order to determine calorie and carbohydrate content. Is there a relationship between the number of calories in a menu item and the number of grams of carbohydrates in that menu item? When a scatterplot was constructed, the relationship was observed to be linear. The regression equation to predict carbohydrate content based on calorie content was as follows: Predicted grams of carbohydrates = 8.94 + 0.11 (number of calories). Which one of the following statements is a correct interpretation of this regression equation? As number of calories goes up by 1, we predict grams of carbohydrates to increase by 8.94. Because the slope is 0.11, this means the relationship between calories and carbohydrates must be weak. A menu item with 0 grams of carbohydrates is predicted to have 8.94 calories. 11% of the variability in grams of carbohydrates can be explained by the regression equation. The predicted grams of carbohydrates for a menu item with 100 calories is 19.94.
Lucas F.
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 the 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 yĢ = 8.94 + 0.11x, and summary statistics of the two variables is provided below. 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 44.6 16.7 77
Madhur L.
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