a. Compute the least-squares regression line for predicting son’s height (y) from father’s height (x). b. Construct a 95% confidence interval for the slope. c. Test H0: β1 = 0 versus H1: β1 ≠ 0. Can you conclude that father’s height is useful in predicting son’s height? Use the α = 0.05 level of significance.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question

1. Like father, like son: In 1906, the statistician Karl Pearson measured the heights of 1078 pairs of fathers and sons. The following table presents a sample of 16 pairs, with height measured in inches, simulated from the distribution specified by Pearson.

Father’s height

Son’s height

Father’s height

Son’s height

70.8

69.8

72.4

69.1

65.4

66.0

65.7

65.3

65.7

70.9

69.1

71.8

69.0

69.1

70.7

71.0

73.6

74.9

72.3

71.9

66.7

68.8

73.6

76.5

70.1

73.3

69.3

71.4

68.3

68.3

64.5

68.5

a.

Compute the least-squares regression line for predicting son’s height (y) from father’s height (x).

b.

Construct a 95% confidence interval for the slope.

c.

Test H0β1 = 0 versus H1β1 ≠ 0. Can you conclude that father’s height is useful in predicting son’s height? Use the α = 0.05 level of significance.

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Knowledge Booster
Point Estimation, Limit Theorems, Approximations, and Bounds
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman