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Mathematics 241 - Spring 2015

Homework

Homework

Section 10.1

Exercise Set A: 1, 2, 4

Section 10.3

Exercise Set C: 1

Also:

The file http://dananne.org/fu/courses/math-241/R/pearson.txt contains the data from Karl Pearson's study of the heights of 1078 fathers and sons discussed in Section 8.1. The data is in a table, with the first column labeled “Father” and the second column labeled “Son”.

  1. Use this data to create a scatter diagram with regression line.
  2. What is the equation of the regression line?
  3. What does the regression line predict for the height of a son whose father is 65 inches tall?
  4. What does the regression line predict for the height of a son whose father is 75 inches tall?

Recall: If you use RStudio to directly import this file, change the “Separator” selection from “Tab” to “Whitespace”.

Answers:

  1. $y = 33.8866 + 0.5141x$
  2. $67.30$
  3. $72.44$