(a) Write the equation of the regression line for predicting wife's age from husband's age. (b) Interpret the slope and intercept in context. (c) Given that R2 = 0.88, what is the correlation of ages in this data set?

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
icon
Concept explainers
Question
1. Below is a scatterplot displaying the relationship between husbands' and wives' ages in a random
sample of 170 married couples in Britain, where both partners' ages are below 65 years. Given below is
summary output of the least squares fit for predicting wife's age from husband's age.
8.00
60-
Estimate
1.5740
Std. Error
1.1501
t value
1.37
Pr(>|t|)
0.1730
(Intercept)
age_husband
0.9112
0.0259
35.25
0.0000
20-
20
40
60
Husband's age (in years)
(a) Write the equation of the regression line for predicting wife's age from husband's age.
(b) Interpret the slope and intercept in context.
(c) Given that R2
0.88, what is the correlation of ages in this data set?
(d) You meet a married man from Britain who is 55 years old. What would you predict his wife's age
to be?
(e) You meet another married man from Britain who is 85 years old. Would it be wise to use the
same linear model to predict his wife's age? Explain.
Wife's age (in years)
Transcribed Image Text:1. Below is a scatterplot displaying the relationship between husbands' and wives' ages in a random sample of 170 married couples in Britain, where both partners' ages are below 65 years. Given below is summary output of the least squares fit for predicting wife's age from husband's age. 8.00 60- Estimate 1.5740 Std. Error 1.1501 t value 1.37 Pr(>|t|) 0.1730 (Intercept) age_husband 0.9112 0.0259 35.25 0.0000 20- 20 40 60 Husband's age (in years) (a) Write the equation of the regression line for predicting wife's age from husband's age. (b) Interpret the slope and intercept in context. (c) Given that R2 0.88, what is the correlation of ages in this data set? (d) You meet a married man from Britain who is 55 years old. What would you predict his wife's age to be? (e) You meet another married man from Britain who is 85 years old. Would it be wise to use the same linear model to predict his wife's age? Explain. Wife's age (in years)
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Correlation, Regression, and Association
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
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