Given are data for two variables, x and y. ŷ = x₁ 6 6 Y₁ 7 11 (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, 7 7 15 13 11 18 20 15 18 20 20 30 7 13 20 30 Residuals (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 a generally horizontal band of residual points 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 satisfied. O 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. O The plot suggests a funnel pattern in the residuals indicating that the error term assumptions are not satisfied.
Given are data for two variables, x and y. ŷ = x₁ 6 6 Y₁ 7 11 (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, 7 7 15 13 11 18 20 15 18 20 20 30 7 13 20 30 Residuals (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 a generally horizontal band of residual points 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 satisfied. O 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. O The plot suggests a funnel pattern in the residuals indicating that the error term assumptions are not satisfied.
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
Transcribed Image Text:(d) Compute the standardized residuals. (Round your answers to two decimal places.)
X; Y₁ Standardized Residuals
6
11
7
7
15 13
20
18 20
30
(e) Develop a plot of the standardized residuals against ý. 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 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 a funnel pattern in the residuals 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 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 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.
X₁ 6 11 15 18 20
Y₁ 7
(a) Develop an estimated regression equation for these data. (Round your numerical values to two decimal places.)
ŷ =
X;
(b) Compute the residuals. (Round your answers to two decimal places.)
6
7
11 7
15 13
18
20
7
20 30
13 20 30
Residuals
(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 a generally horizontal band of residual points 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 satisfied.
O 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.
O The plot suggests a funnel pattern in the residuals indicating that the error term assumptions are not satisfied.
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