For Exercises 23–37, follow these steps. You have already calculated the regression equation in Exercises 37–51 in Section 4.2. Do the following.

  1. Calculate the sum of squares error, SSE.
  2. Compute and interpret the standard error of the estimate, .
  3. Calculate the total sum of squares, SST.
  4. Find the sum of squares regression, SSR.
  5. Calculate and interpret the coefficient of determination, .
  6. Use to calculate and interpret the correlation coefficient, .

Question 4.230

29. Saturated Fat and Calories. See Exercise 43 in Section 4.2.

4.3.29

(a) 42.08 (b) 2.29340 grams. The typical difference between the predicted amount of saturated fat and the actual observed amount of saturated fat is 2.29340 grams. (c) 52.66 (d) 10.58 (e) 0.2009. Therefore, 20.09% of the variability in the amount of saturated fat is accounted for by the linear relationship between the amount of saturated fat and the calories per serving. (f) 0.4482. This value of is positive. We would therefore say that the number of calories per serving and the number of grams of saturated fat per serving are positively correlated. As the number of calories in a serving of food increases, the number of grams of saturated fat also tends to increase.