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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
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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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.
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.
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