3. Calculate the correlation coefficients for the linear regressions of the two penguins; ex- plain how much variance is explained in each case. lanatory and response
3. Calculate the correlation coefficients for the linear regressions of the two penguins; ex- plain how much variance is explained in each case. lanatory and response
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
Help with number 3 please!!
Transcribed Image Text:5.2.5 Exercises
Figure 5.2.5 shows scatterplots of the rate of oxygen consumption (VO) and heart rate (HR)
measured in two macaroni penguins running on a treadmill (really). The authors performed
linear regression on the data and found the following parameters: VO = 0.23HR - 11.62
(penguin A) and VO = 0.25HR-20.93 (penguin B). The datasets have the standard deviations:
ovo = 6.77 and HR = 28.8 (penguin A) and
28.8 (penguin A) and ovo = 8.49 and HR = 30.6 (penguin B).
Rate of oxygen consumption (ml min-¹ kg-¹)
35
30
25
20
15
10
5
0
A
0
35
30
25
20
15
10
5
0-
0
B
50
50
100
150
100
150
Heart rate (beats min-¹)
200
200
250
250
V
1. Find the dimensions and units of the slope and the intercept of the linear regression for
this data (the units of HR and VO are on the plot).
2. Data set B has a larger slope than data set A. Does this mean the correlation is higher
in data set B than in A? Explain.
FRISE
95
3. Calculate the correlation coefficients for the linear regressions of the two penguins; ex-
plain how much variance is explained in each case.
4. Re-calculate the slopes of the two linear regressions if the explanatory and response
variables were reversed. Does changing the order of variable affect the correlation?
+ : 0
L
95
/
273
>
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