Moreover, Dr. Castillejo suspects that other than maximum pulse rate (from 152bpm to 196 bpm), other variables such as gender and weight (from 53.14 to 85.99) also affect the oxygen consumption of the gym members. Based on the R commander output below, determine which predictor is linearly related to oxygen consumption. Make sure to interpret all necessary estimates. Also, provide a measure that reports the adequacy of the model.
Moreover, Dr. Castillejo suspects that other than maximum pulse rate (from 152bpm to 196 bpm), other variables such as gender and weight (from 53.14 to 85.99) also affect the oxygen consumption of the gym members. Based on the R commander output below, determine which predictor is linearly related to oxygen consumption. Make sure to interpret all necessary estimates. Also, provide a measure that reports the adequacy of the model.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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![7. Moreover, Dr. Castillejo suspects that other than maximum pulse rate (from 152bpm to 196 bpm), other
variables such as gender and weight (from 53.14 to 85.99) also affect the oxygen consumption of the gym
members. Based on the R commander output below, determine which predictor is linearly related to
oxygen consumption. Make sure to interpret all necessary estimates. Also, provide a measure that reports
the adequacy of the model.
R COMMANDER OUTPUT
1m (formula = oxygen.consumption weight + maximum.pulse + gender,
data = aerobic)
Estimate Std. Error t value Pr (>|t|)
(Intercept)
61.56864
4.52025 13.62
0.000***
weight
-0.20851
0.07331 -2.84
0.007***
maximum_pulse
0.28978
0.05516
0.000***
5.25
0.03292 -1.28 0.208
gender [male]
-0.04201
Signif. codes: 0 ***** 0.001 **** 0.01 * 0.05 ¹.¹ 0.1 '1
1
Residual standard error: 0.11373 on 47 degrees of freedom
Multiple R-squared: 0.9929, Adjusted R-squared: 0.9925
F-statistic: 2155.13 on 3 and 46 DF, p-value: < 2.2e-16](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4d3811bf-f366-4cf9-884e-d6cc6e80b92d%2Fe0594538-b73f-4d40-ac05-17ff5c23aad9%2Fs8le66l_processed.png&w=3840&q=75)
Transcribed Image Text:7. Moreover, Dr. Castillejo suspects that other than maximum pulse rate (from 152bpm to 196 bpm), other
variables such as gender and weight (from 53.14 to 85.99) also affect the oxygen consumption of the gym
members. Based on the R commander output below, determine which predictor is linearly related to
oxygen consumption. Make sure to interpret all necessary estimates. Also, provide a measure that reports
the adequacy of the model.
R COMMANDER OUTPUT
1m (formula = oxygen.consumption weight + maximum.pulse + gender,
data = aerobic)
Estimate Std. Error t value Pr (>|t|)
(Intercept)
61.56864
4.52025 13.62
0.000***
weight
-0.20851
0.07331 -2.84
0.007***
maximum_pulse
0.28978
0.05516
0.000***
5.25
0.03292 -1.28 0.208
gender [male]
-0.04201
Signif. codes: 0 ***** 0.001 **** 0.01 * 0.05 ¹.¹ 0.1 '1
1
Residual standard error: 0.11373 on 47 degrees of freedom
Multiple R-squared: 0.9929, Adjusted R-squared: 0.9925
F-statistic: 2155.13 on 3 and 46 DF, p-value: < 2.2e-16
Transcribed Image Text:H
In physiology, an objective measure of aerobic fitness is how efficiently the body can
absorb and use oxygen (oxygen consumption). A physiologist, Dr. Castillejo, conducted a
research wherein subjects participated in a predetermined exercise run of 1.5 miles.
Measurements of oxygen consumption as well as several other variables such as age,
gender, runtime, resting and maximum pulse rates, and weight were recorded from 50
randomly selected gym members. Dr. Castillejo is interested in determining whether any
of these other variables can help predict oxygen consumption. She believes that a
possible link between these factors will help her determine how to improve the health of
her gym members.
Help Dr. Castillejo in developing a proposal for the improvement of her gym members' health condition. The
variables are described below.
gender- either male or female
runtime-time to run 1.5 miles (in min)
age - age of the gym member in years
weight - weight of the gym member (in kg)
oxygen consumption - measure of the ability to use oxygen in the blood stream (in ml/min)
rest pulse - resting pulse rate (in bpm)
maximum pulse - maximum pulse rate during the run (in bpm)
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