xi 6 11 15 18 20 yi 5 7 13 19 30 (a) Develop an estimated regression equation for these data. (Round your numerical values to two decimal places.) ŷ = (b) Compute the residuals. (Round your answers to two decimal places.) xi yi Residuals 6 5 11 7 15 13 18 19 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.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 satisfied.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 not satisfied. (d) Compute the standardized residuals. (Round your answers to two decimal places.) xi yi Standardized Residuals 6 5 11 7 15 13 18 19 20 30 (e) Develop a plot of the standardized residuals against ŷ. What conclusions can you draw from this plot? 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.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. 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 curvature in the residuals indicating that the error term assumptions are satisfied.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

xi 6 11 15 18 20 yi 5 7 13 19 30 (a) Develop an estimated regression equation for these data. (Round your numerical values to two decimal places.) ŷ = (b) Compute the residuals. (Round your answers to two decimal places.) xi yi Residuals 6 5 11 7 15 13 18 19 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.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 satisfied.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 not satisfied. (d) Compute the standardized residuals. (Round your answers to two decimal places.) xi yi Standardized Residuals 6 5 11 7 15 13 18 19 20 30 (e) Develop a plot of the standardized residuals against ŷ. What conclusions can you draw from this plot? 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.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. 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 curvature in the residuals indicating that the error term assumptions are satisfied.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

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter4: Equations Of Linear Functions

Section4.6: Regression And Median-fit Lines

Problem 5PPS

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Related questions

Question

x_i	6	11	15	18	20
y_i	5	7	13	19	30

(a)

Develop an estimated regression equation for these data. (Round your numerical values to two decimal places.)

ŷ =

(b)

Compute the residuals. (Round your answers to two decimal places.)

x_i	y_i	Residuals
6	5
11	7
15	13
18	19
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.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 satisfied.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 not satisfied.

(d)

Compute the standardized residuals. (Round your answers to two decimal places.)

x_i	y_i	Standardized Residuals
6	5
11	7
15	13
18	19
20	30

(e)

Develop a plot of the standardized residuals against ŷ. What conclusions can you draw from this plot?

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.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. 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 curvature in the residuals indicating that the error term assumptions are satisfied.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

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