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Interpret the estimated R2 Does the residual plot suggest that the fitted regression line is inappropriate for these data? Explain why or why not. Suppose that a new subject is added to the study data and that subject is 12.5 years old with an ATST of 580 minutes. If the regression model were to be refit with this additional data point, would the new slope be greater than or less than -14.041?  Justify your response.

Interpret the estimated R2 Does the residual plot suggest that the fitted regression line is inappropriate for these data? Explain why or why not. Suppose that a new subject is added to the study data and that subject is 12.5 years old with an ATST of 580 minutes. If the regression model were to be refit with this additional data point, would the new slope be greater than or less than -14.041?  Justify your response.

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
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  • Interpret the estimated R2
  • Does the residual plot suggest that the fitted regression line is inappropriate for these data? Explain why or why not.
  • Suppose that a new subject is added to the study data and that subject is 12.5 years old with an ATST of 580 minutes. If the regression model were to be refit with this additional data point, would the new slope be greater than or less than -14.041?  Justify your response.
8. A group of 13 health children and adolescents participated in a study designed to analyze the relationship between age (AGE in years) and average total sleep time (ATST in minutes). To obtain a measure for ATST, recordings were taken on each subject on three consecutive nights and then averaged. The results obtained are given below along with the corresponding scatter plot. AGE ATST 4.40 586.00 14.00 461.75 10.10 491.10 6.70 565.00 11.50 462.00 9.60 532.10 12.40 477.60 8.90 515.20 9 11.10 493.00 10 7.75 528.30 11 5.50 575.90 12 8.60 532.50 13 7.20 530.50 7238 1 4 5 6 ATST (min/24hr) 099 600 550 500 450 0 5 AGE (years) 10 15
Transcribed Image Text:8. A group of 13 health children and adolescents participated in a study designed to analyze the relationship between age (AGE in years) and average total sleep time (ATST in minutes). To obtain a measure for ATST, recordings were taken on each subject on three consecutive nights and then averaged. The results obtained are given below along with the corresponding scatter plot. AGE ATST 4.40 586.00 14.00 461.75 10.10 491.10 6.70 565.00 11.50 462.00 9.60 532.10 12.40 477.60 8.90 515.20 9 11.10 493.00 10 7.75 528.30 11 5.50 575.90 12 8.60 532.50 13 7.20 530.50 7238 1 4 5 6 ATST (min/24hr) 099 600 550 500 450 0 5 AGE (years) 10 15
A simple linear regression model was fit to the data in R. The results are given below. Call: m(formula = ATST Residuals: Min Coefficients: 10 Median 3Q Max -23.011 -9.365 2.372 6.770 20.411 Estimate Std. Error t value (>|t|) 12.918 50.05 2.49e-14 *** 1.368 -10.26 5.70e-07 *** Signif. codes: 0 **** 0.001** 0.01 * 0.05.' 0.1 1 Residual standard error: 13.15 on 11 degrees of freedom Multiple R-squared: 0.9054, Adjusted R-squared: F-statistic: 105.3 on 1 and 11 DF, p-value: 5.7e-07 0.8968 AGE (Intercept) 646.483 -14.041 Residuals Below is a plot of the model residuals vs. AGE. 20 ~ 10 AGE) 0 -10 20 6 8 10 AGE (years) O 12 14
Transcribed Image Text:A simple linear regression model was fit to the data in R. The results are given below. Call: m(formula = ATST Residuals: Min Coefficients: 10 Median 3Q Max -23.011 -9.365 2.372 6.770 20.411 Estimate Std. Error t value (>|t|) 12.918 50.05 2.49e-14 *** 1.368 -10.26 5.70e-07 *** Signif. codes: 0 **** 0.001** 0.01 * 0.05.' 0.1 1 Residual standard error: 13.15 on 11 degrees of freedom Multiple R-squared: 0.9054, Adjusted R-squared: F-statistic: 105.3 on 1 and 11 DF, p-value: 5.7e-07 0.8968 AGE (Intercept) 646.483 -14.041 Residuals Below is a plot of the model residuals vs. AGE. 20 ~ 10 AGE) 0 -10 20 6 8 10 AGE (years) O 12 14
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