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.