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(a) Develop an estimated regression equation for these data. (Round your numerical values to two decimal places.) (b) Compute the residuals. (Round your answers to two decimal places.) x, y, Residuals 65 15 13 18 20 20 30 (c) Develop a plot of the residuals against the independent variable x. Do the assumptions about the error terms seem to be satisfied? The plot suggests curvature in the residuals indicating that the error term assumptions are not satisfied. O The plot suggests curvature in the residuals indicating that the error term assumptions are satisfied. The plot suggests a generally horizontal band of residual points indicating that the error term assumptions are satisfied. The plot suggests a funnel pattern in the residuals indicating that the error term assumptions are not satisfied. The plot suggests a generally horizontal band of residual points indicating that the error term assumptions are not satisfied.

(a) Develop an estimated regression equation for these data. (Round your numerical values to two decimal places.) (b) Compute the residuals. (Round your answers to two decimal places.) x, y, Residuals 65 15 13 18 20 20 30 (c) Develop a plot of the residuals against the independent variable x. Do the assumptions about the error terms seem to be satisfied? The plot suggests curvature in the residuals indicating that the error term assumptions are not satisfied. O The plot suggests curvature in the residuals indicating that the error term assumptions are satisfied. The plot suggests a generally horizontal band of residual points indicating that the error term assumptions are satisfied. The plot suggests a funnel pattern in the residuals indicating that the error term assumptions are not satisfied. The plot suggests a generally horizontal band of residual points indicating that the error term assumptions are not satisfied.

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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Given are data for two variables, x and y. ŷ = 6 (a) Develop an estimated regression equation for these data. (Round your numerical values to two decimal places.) X; Y₁ X; 6 11 15 Y₁ (b) Compute the residuals. (Round your answers to two decimal places.) 11 8 15 13 18 20 5 20 30 6 15 18 (c) Develop a plot of the residuals against the independent variable x. Do the assumptions about the error terms seem to be satisfied? O The plot suggests curvature in the residuals indicating that the error term assumptions are not satisfied. The plot suggests curvature in the residuals indicating that the error term assumptions are satisfied. O The plot suggests a generally horizontal band of residual points indicating that the error term assumptions are satisfied. O The plot suggests a funnel pattern in the residuals indicating that the error term assumptions are not satisfied. O The plot suggests a generally horizontal band of residual points indicating that the error term assumptions are not satisfied. (d) Compute the standardized residuals. (Round your answers to two decimal places.) 11 8 X; Y₁ Standardized Residuals O 5 8 5 20 13 20 30 13 20 20 30 Residuals (e) Develop a plot of the standardized residuals against y. What conclusions can you draw from this plot? O The standardized residual plot has the same shape as the original residual plot. The plot suggests curvature in the residuals indicating that the error term assumptions are not satisfied. O The standardized residual plot has the same shape as the original residual plot. The plot suggests a generally horizontal band of residual points indicating that the error term assumptions are not satisfied. O The standardized residual plot has a different shape than the original residual plot. The plot suggests curvature in the residuals indicating that the error term assumptions are satisfied. O The standardized residual plot has a different shape than the original residual plot. The plot suggests a funnel pattern in the residuals indicating that the error term assumptions are not satisfied. The standardized residual plot has a different shape than the original residual plot. The plot suggests a generally horizontal band of residual points indicating that the error term assumptions are satisfied.
Transcribed Image Text:Given are data for two variables, x and y. ŷ = 6 (a) Develop an estimated regression equation for these data. (Round your numerical values to two decimal places.) X; Y₁ X; 6 11 15 Y₁ (b) Compute the residuals. (Round your answers to two decimal places.) 11 8 15 13 18 20 5 20 30 6 15 18 (c) Develop a plot of the residuals against the independent variable x. Do the assumptions about the error terms seem to be satisfied? O The plot suggests curvature in the residuals indicating that the error term assumptions are not satisfied. The plot suggests curvature in the residuals indicating that the error term assumptions are satisfied. O The plot suggests a generally horizontal band of residual points indicating that the error term assumptions are satisfied. O The plot suggests a funnel pattern in the residuals indicating that the error term assumptions are not satisfied. O The plot suggests a generally horizontal band of residual points indicating that the error term assumptions are not satisfied. (d) Compute the standardized residuals. (Round your answers to two decimal places.) 11 8 X; Y₁ Standardized Residuals O 5 8 5 20 13 20 30 13 20 20 30 Residuals (e) Develop a plot of the standardized residuals against y. What conclusions can you draw from this plot? O The standardized residual plot has the same shape as the original residual plot. The plot suggests curvature in the residuals indicating that the error term assumptions are not satisfied. O The standardized residual plot has the same shape as the original residual plot. The plot suggests a generally horizontal band of residual points indicating that the error term assumptions are not satisfied. O The standardized residual plot has a different shape than the original residual plot. The plot suggests curvature in the residuals indicating that the error term assumptions are satisfied. O The standardized residual plot has a different shape than the original residual plot. The plot suggests a funnel pattern in the residuals indicating that the error term assumptions are not satisfied. The standardized residual plot has a different shape than the original residual plot. The plot suggests a generally horizontal band of residual points indicating that the error term assumptions are satisfied.
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