Part 2: More reasoning about scatterplots. correlation, and regression Is there a relationship between the protein content (in grams) and the calorie content of 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 calorie content based on protein content, the following regression equation was constructed: Predicted calories = 199.6 + 13.4 (grams of protein). The regression equation explains 67.1% of the variability in calories. Use this information to answer Questions 9 through 12. 1200 1000 800 Calories 600 400 200 20 60 70 30 Grams of protein 9. What is the correlation (or value of r) between calories and grams of protein? 10. Would it be correct to say the units for r are grams per calorie? Please explain why or why not. 11. Suppose you switched Y and y in this example. In other words, rather than have x = grams of protein and y = calories, you decide that x should be calories and y should be grams of protein. A. Would you expect the correlation coefficient, or r, to change if you switch x and y? Please explain. B. Would you expect the regression equation to change if you switch x and y? Please explain. 12. Suppose that instead of measuring protein in grams, we decide it would be better to mesure in milligrams. If we change the units of analysis in this way, how would you expect the correlation (or r) to change