5. A student in the Careau lab is studying how metabolic rate in male fruit flies (Drosophila melanogaster) changes with physical activity. They measured metabolic rate ('met_rate', arbitrary units) and activity (# of movements over a set period of time) for each of 500 males randomly chosen from a laboratory population. They generated the following diagnostic plots and regression results: met_rate 60 50 40 30 10 0 0 Residuals: Min 20 40 60 80 activity ‒‒‒ Call: lm (formula = met_rate ~ activity) Residuals Coefficients: WIStandardized residuals 30 20 10 0 -10 -20 1Q Median 3Q -20.4532 -2.8726 -0.0568 3.0241 2.0 1.5 1.0 0.5 $0.0 Residuals vs Fitted 10 Fitted values 20 30 40 Scale-Location 10 20 30 Fitted values Max 26.1613 Estimate Std. Error t value Pr (> |t|) (Intercept) 3.449775 0.512063 6.737 4.48e-11 *** activity 0.388912 0.008776 44.313 < 2e-16 *** Signif. codes: 0 ***** 0.001 **** 0.01 ** 40 Standardized residuals Residual standard error: 5.764 on 498 degrees of freedom Multiple R-squared: 0.7977, Adjusted R-squared: 0.7973 F-statistic: 1964 on 1 and 498 DF, p-value: < 2.2e-16. Standardized residuals ON ~O~ 4 0.05. 0.1 1 -3 -1 0 1 23 Theoretical Quantiles Normal Q-Q Residuals vs Leverage 0.000 Cook's distance T 0.004 Leverage 0.008
5. A student in the Careau lab is studying how metabolic rate in male fruit flies (Drosophila melanogaster) changes with physical activity. They measured metabolic rate ('met_rate', arbitrary units) and activity (# of movements over a set period of time) for each of 500 males randomly chosen from a laboratory population. They generated the following diagnostic plots and regression results: met_rate 60 50 40 30 10 0 0 Residuals: Min 20 40 60 80 activity ‒‒‒ Call: lm (formula = met_rate ~ activity) Residuals Coefficients: WIStandardized residuals 30 20 10 0 -10 -20 1Q Median 3Q -20.4532 -2.8726 -0.0568 3.0241 2.0 1.5 1.0 0.5 $0.0 Residuals vs Fitted 10 Fitted values 20 30 40 Scale-Location 10 20 30 Fitted values Max 26.1613 Estimate Std. Error t value Pr (> |t|) (Intercept) 3.449775 0.512063 6.737 4.48e-11 *** activity 0.388912 0.008776 44.313 < 2e-16 *** Signif. codes: 0 ***** 0.001 **** 0.01 ** 40 Standardized residuals Residual standard error: 5.764 on 498 degrees of freedom Multiple R-squared: 0.7977, Adjusted R-squared: 0.7973 F-statistic: 1964 on 1 and 498 DF, p-value: < 2.2e-16. Standardized residuals ON ~O~ 4 0.05. 0.1 1 -3 -1 0 1 23 Theoretical Quantiles Normal Q-Q Residuals vs Leverage 0.000 Cook's distance T 0.004 Leverage 0.008
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
Please answer all parts of the question, thank you
![5. A student in the Careau lab is studying how metabolic rate in male fruit flies (Drosophila melanogaster)
changes with physical activity. They measured metabolic rate ('met_rate', arbitrary units) and activity (# of
movements over a set period of time) for each of 500 males randomly chosen from a laboratory population.
They generated the following diagnostic plots and regression results:
met_rate
60
50
40
30
20
10
0
0
T
T
20 40 60 80
activity
Residuals:
Min
Residuals
Call:
1m (formula = met rate activity)
Coefficients:
R-10
-20
WIStandardized residuals
0 1***1
30
20
10
0
1Q Median
3Q
-20.4532 -2.8726 -0.0568 3.0241
2.0
1.5
1.0
0.5
0.0
+1
+1
Residuals vs Fitted
10
20 30 40
Fitted values
Scale-Location
10 20 30
Fitted values
Max
26.1613
Estimate Std. Error t value Pr (> |t|)
(Intercept) 3.449775 0.512063 6.737 4.48e-11 ***
activity 0.388912 0.008776 44.313 <2e-16 ***
40
Standardized residuals
Signif. codes:
Residual standard error: 5.764 on 498 degrees of freedom
Multiple R-squared: 0.7977,
Adjusted R-squared: 0.7973
F-statistic: 1964 on 1 and 498 DF, p-value: < 2.2e-16
Standardized residuals
NA
ON
0.001 *** 0.01 1*1 0.05. 0.1 1
-3
-1 0 1 2 3
Theoretical Quantiles
Normal Q-Q
0.000
a) What is the predicted metabolic rate for an individual with an activity measure of 50?
Residuals vs Leverage
Cook's distance
14
0.004
Leverage
14
0.008
b) Explain one way, other than increasing sample size, that they could increase the precision of their estimated
slope.
c) Outline two potential concerns with the assumptions underlying this analysis, explaining what aspect of the
plots above suggests it may be a concern, indicate whether or not you actually consider it a problem and
why, and explain how it could be addressed if one wanted to do so.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6f01df11-7490-4fa9-9e51-6ea6d2a32aad%2F8814f6fb-69ee-4c91-a703-77950a87043a%2Fhlid2qs_processed.png&w=3840&q=75)
Transcribed Image Text:5. A student in the Careau lab is studying how metabolic rate in male fruit flies (Drosophila melanogaster)
changes with physical activity. They measured metabolic rate ('met_rate', arbitrary units) and activity (# of
movements over a set period of time) for each of 500 males randomly chosen from a laboratory population.
They generated the following diagnostic plots and regression results:
met_rate
60
50
40
30
20
10
0
0
T
T
20 40 60 80
activity
Residuals:
Min
Residuals
Call:
1m (formula = met rate activity)
Coefficients:
R-10
-20
WIStandardized residuals
0 1***1
30
20
10
0
1Q Median
3Q
-20.4532 -2.8726 -0.0568 3.0241
2.0
1.5
1.0
0.5
0.0
+1
+1
Residuals vs Fitted
10
20 30 40
Fitted values
Scale-Location
10 20 30
Fitted values
Max
26.1613
Estimate Std. Error t value Pr (> |t|)
(Intercept) 3.449775 0.512063 6.737 4.48e-11 ***
activity 0.388912 0.008776 44.313 <2e-16 ***
40
Standardized residuals
Signif. codes:
Residual standard error: 5.764 on 498 degrees of freedom
Multiple R-squared: 0.7977,
Adjusted R-squared: 0.7973
F-statistic: 1964 on 1 and 498 DF, p-value: < 2.2e-16
Standardized residuals
NA
ON
0.001 *** 0.01 1*1 0.05. 0.1 1
-3
-1 0 1 2 3
Theoretical Quantiles
Normal Q-Q
0.000
a) What is the predicted metabolic rate for an individual with an activity measure of 50?
Residuals vs Leverage
Cook's distance
14
0.004
Leverage
14
0.008
b) Explain one way, other than increasing sample size, that they could increase the precision of their estimated
slope.
c) Outline two potential concerns with the assumptions underlying this analysis, explaining what aspect of the
plots above suggests it may be a concern, indicate whether or not you actually consider it a problem and
why, and explain how it could be addressed if one wanted to do so.
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step 1: Write the given information.
VIEWStep 2: Determine the predicted metabolic rate for an individual with an activity measure of 50.
VIEWStep 3: Provide ways to increase the precision of the estimated slope of regression model.
VIEWStep 4: Outline two potential concerns with the assumptions underlying this analysis.
VIEWSolution
VIEWStep by step
Solved in 5 steps with 3 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Recommended textbooks for you
![MATLAB: An Introduction with Applications](https://www.bartleby.com/isbn_cover_images/9781119256830/9781119256830_smallCoverImage.gif)
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
![Probability and Statistics for Engineering and th…](https://www.bartleby.com/isbn_cover_images/9781305251809/9781305251809_smallCoverImage.gif)
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
![Statistics for The Behavioral Sciences (MindTap C…](https://www.bartleby.com/isbn_cover_images/9781305504912/9781305504912_smallCoverImage.gif)
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
![MATLAB: An Introduction with Applications](https://www.bartleby.com/isbn_cover_images/9781119256830/9781119256830_smallCoverImage.gif)
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
![Probability and Statistics for Engineering and th…](https://www.bartleby.com/isbn_cover_images/9781305251809/9781305251809_smallCoverImage.gif)
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
![Statistics for The Behavioral Sciences (MindTap C…](https://www.bartleby.com/isbn_cover_images/9781305504912/9781305504912_smallCoverImage.gif)
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…](https://www.bartleby.com/isbn_cover_images/9780134683416/9780134683416_smallCoverImage.gif)
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
![The Basic Practice of Statistics](https://www.bartleby.com/isbn_cover_images/9781319042578/9781319042578_smallCoverImage.gif)
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](https://www.bartleby.com/isbn_cover_images/9781319013387/9781319013387_smallCoverImage.gif)
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman