Is there a relationship between the amount of protein (in grams) and the number of calories in items sold at fast-food restaurants? The scatterplot below shows the results of an analysis of 126 fast...

Is there a relationship between the amount of protein (in grams) and the number of calories in items sold at fast-food restaurants? The scatterplot below shows the results of an analysis of 126 fast food items.  For each item, the protein and calorie contents were measured.  To predict number of calories based on protein content, the following regression equation was constructed:  Predicted number of calories = 199.6 + 13.4 (grams of protein).  Which one of the following statements is a correct interpretation of this equation?

1. 4% of the variability in number of calories can be explained by the regression equation.


2. If there are 0 grams of protein in a fast-food item, we predict there to be 13.4 calories in that item.


3. As the number of calories increases by 1, we predict amount protein to increase by 199.6 grams.


4. The correlation between number of calories and amount of protein must be 0.134.


5. As amount of protein increases by 1 gram, we predict number of calories to increase by 13.4.

Return to Question 5.  Which one of the following is a correct interpretation of the intercept in the regression equation?

1. As grams of protein increases by 13.4, we predict number of calories to increase by 199.6.


2. A fast-food item with 0 grams of protein is predicted to have 199.6 calories.


3. A fast-food item with 13.4 grams of protein is predicted to have 199.6 calories.


4. A fast-food item with 199.6 grams of protein is predicted to have 13.4 calories.


5. A fast-food item with 0 calories is predicted to have 199.6 grams of protein