image CHECK IT OUT!

To do Check out Topic
Exercises 11a–22a Example 12 SSE, the sum of
squares error
Exercises 11b–22b Example 13 Standard error of the
estimate,
Exercises 11c–22c Example 14 SST, the total sum of
squares
Exercises 11d–22d Example 15 SSR, the regression
sum of squares
Exercises 11e–22e Example 16 , the coefficient of
determination
Exercises 11f–22f Example 17 Calculating using

For Exercises 11–22, use the regression equations you calculated in Exercises 13–24 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 the correlation coefficient, .

Question 4.212

11.

10 20 30 40
2 5 9 12

4.3.11

(a) 0.2 (b) 0.316228. The typical difference between the predicted value of and the actual observed value of is 0.316228. (c) 58 (d) 57.8 (e) 0.9966. Therefore, 99.66% of the variability in is accounted for by the linear relationship between and . (f) 0.9983