9. The data shown below reflects the age of a man and a woman at the time of their wedding. The linear regression equation for this data is Couples Alessandra & Aaron David & Daniella Gloria & Gabriel y = -1.799 + 1.077x Woman's Age 24 26 29 Man's Age 23 28 33

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter1: Equations And Graphs
Section1.FOM: Focus On Modeling: Fitting Lines To Data
Problem 10P
icon
Related questions
Question

Hello I need help with problem e, thank you!

9. The data shown below reflects the age of a man and a woman at the time of their wedding. The linear regression
equation for this data is
Couples
a.
Alessandra & Aaron
David & Daniella
Gloria & Gabriel
Mohammed & Mariam
Raphael & Rebecca
Samantha & Steven
y = -1.799 + 1.077x
Woman's Age
24
26
29
31
50
33
Man's Age
23
28
33
31
53
29
Plot the observations in a scatterplot. Make sure to label the axes with Man's Age being the response variable
and Woman's Age being the explanatory variable.
b.
Describe the possible association (trend, strength, and shape) in context.
c. Calculate the correlation coefficient.
d. What is the expected age of a woman when her husband is 28 years old at the time of marriage? Round to the
nearest whole number.
e.
Interpret the slope of the linear regression line in the context of the data.
f. Interpret the y-intercept of the linear regression line in the context of the data. Then, state whether that value is
meaningful.
Transcribed Image Text:9. The data shown below reflects the age of a man and a woman at the time of their wedding. The linear regression equation for this data is Couples a. Alessandra & Aaron David & Daniella Gloria & Gabriel Mohammed & Mariam Raphael & Rebecca Samantha & Steven y = -1.799 + 1.077x Woman's Age 24 26 29 31 50 33 Man's Age 23 28 33 31 53 29 Plot the observations in a scatterplot. Make sure to label the axes with Man's Age being the response variable and Woman's Age being the explanatory variable. b. Describe the possible association (trend, strength, and shape) in context. c. Calculate the correlation coefficient. d. What is the expected age of a woman when her husband is 28 years old at the time of marriage? Round to the nearest whole number. e. Interpret the slope of the linear regression line in the context of the data. f. Interpret the y-intercept of the linear regression line in the context of the data. Then, state whether that value is meaningful.
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Recommended textbooks for you
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
Functions and Change: A Modeling Approach to Coll…
Functions and Change: A Modeling Approach to Coll…
Algebra
ISBN:
9781337111348
Author:
Bruce Crauder, Benny Evans, Alan Noell
Publisher:
Cengage Learning