c) Use your equation to estimate her height at 40 months. d) Use your equation to estimate her height at 40 years (480 months).

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
Need answers for C) and D)
2. Ayako's parents are concerned that she is rather short for her
age. The doctor's records of her growth give us the following
data:
Age
(months)
36
48
51
54
57
60
Height
(cm)
86
90
91
93
94
95
a) Make a scatterplot of this data. Draw a rough sketch below
and describe any pattern/correlation that you see.
Scatter Diagram
96
95
94
93
92
91
90
89
88
87
86
85
30
35
40
45
50
55
60
65
Age (Months) (X)
b) Use you calculator to find the regression equation that is
appropriate for this data: What is the strength of this
correlation? Explain.
The equation of regression line is,
< >
Transcribed Image Text:2. Ayako's parents are concerned that she is rather short for her age. The doctor's records of her growth give us the following data: Age (months) 36 48 51 54 57 60 Height (cm) 86 90 91 93 94 95 a) Make a scatterplot of this data. Draw a rough sketch below and describe any pattern/correlation that you see. Scatter Diagram 96 95 94 93 92 91 90 89 88 87 86 85 30 35 40 45 50 55 60 65 Age (Months) (X) b) Use you calculator to find the regression equation that is appropriate for this data: What is the strength of this correlation? Explain. The equation of regression line is, < >
The equation of regression line is,
Ý = a +b* X = 71. 95 + 0. 3833 * X
r=0.9944, this shows nearly perfect correlation between age
(months) (X) and height (cm ) (Y)
c) Use your equation to estimate her height at 40 months.
d) Use your equation to estimate her height at 40 years (480
months).
What is your estimate:
Does this number seem realistic?
Explain why your estimate at 40
was or was not
realistic.
e) Generalize what the regression equation says about this data
in context; i.e., what it says about Ayako's growth.
Transcribed Image Text:The equation of regression line is, Ý = a +b* X = 71. 95 + 0. 3833 * X r=0.9944, this shows nearly perfect correlation between age (months) (X) and height (cm ) (Y) c) Use your equation to estimate her height at 40 months. d) Use your equation to estimate her height at 40 years (480 months). What is your estimate: Does this number seem realistic? Explain why your estimate at 40 was or was not realistic. e) Generalize what the regression equation says about this data in context; i.e., what it says about Ayako's growth.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps

Blurred answer
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