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 4.234

33. Teenage Birth Rate. See Exercise 47 in Section 4.2.

4.3.33

(a) 68.77 (b) 3.38560. The typical difference between the predicted teen birth rate and the actual observed teen birth rate is 3.38560. (c) 383.40 (d) 314.63 (e) 0.8206. Therefore, 82.06% of the variability in the teen birth rate is accounted for by the linear relationship between the teen birth rate and the overall birth rate. (f) 0.9059. This value of is very close to the maximum value . We would therefore say that the teen birth rate and the overall birth rate are positively correlated. As the overall birth rate increases, the teen birth rate also tends to increase.