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Mathematics 120 - Fall 2018

Homework

Homework

Section 10.1

Exercise Set A: 1, 2, 4

Section 10.2

Exercise Set B: 1

Section 10.3

Exercise Set C: 1

Section 10.4

Exercise Set D: 1, 2, 3

Section 10.5

Exercise Set E: 1, 2, 3

Also: For Karl Pearson's study of the heights of 1078 fathers and sons discussed in Section 8.1, we have $\bar{x} = 67.69$, $\bar{y} = 68.68$, $\mathrm{SD}_x = 2.74$, $\mathrm{SD}_y = 2.81$, and $r = 0.50$.

  1. What is the equation of the regression line?
  2. What does the regression line predict for the height of a son whose father is 65 inches tall?
  3. What does the regression line predict for the height of a son whose father is 75 inches tall?

Answers:

  1. $y = 0.51x + 34.16$
  2. $67.31$
  3. $72.41$