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1. Suppose the variables x = commuting distance and y = comuting time are related according to the simple linear regression model with σ = 10. a. If n = 5 observations are made at the x values x₁ = 5, x₂ = 10, x₂ = 15, x₁ = 20, and x₂ = 25, calculate the standard deviations of the five corresponding residuals. b. Repeat part (a) for x, = 5, x, = 10, x₂ = 15, x₁ and x5 = 50. c. What do the results of parts (a) and (b) imply al the deviation of the estimated line from the obse tion made at the largest sampled x value?

1. Suppose the variables x = commuting distance and y = comuting time are related according to the simple linear regression model with σ = 10. a. If n = 5 observations are made at the x values x₁ = 5, x₂ = 10, x₂ = 15, x₁ = 20, and x₂ = 25, calculate the standard deviations of the five corresponding residuals. b. Repeat part (a) for x, = 5, x, = 10, x₂ = 15, x₁ and x5 = 50. c. What do the results of parts (a) and (b) imply al the deviation of the estimated line from the obse tion made at the largest sampled x value?

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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1. Suppose the variables x = commuting distance and y = comuting time are related according to the simple linear regression model with σ = 10. a. If n = 5 observations are made at the x values x₁ = 5, x₂ = 10, x₂ = 15, x₁ = 20, and x, = 25, calculate the standard deviations of the five corresponding residuals. b. Repeat part (a) for x, = 5, x, = 10, x² = 15, xâ = 20, and x = 50. c. What do the results of parts (a) and (b) imply about the deviation of the estimated line from the observa- tion made at the largest sampled x value?
Transcribed Image Text:1. Suppose the variables x = commuting distance and y = comuting time are related according to the simple linear regression model with σ = 10. a. If n = 5 observations are made at the x values x₁ = 5, x₂ = 10, x₂ = 15, x₁ = 20, and x, = 25, calculate the standard deviations of the five corresponding residuals. b. Repeat part (a) for x, = 5, x, = 10, x² = 15, xâ = 20, and x = 50. c. What do the results of parts (a) and (b) imply about the deviation of the estimated line from the observa- tion made at the largest sampled x value?
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