14(a) A study analyzed the influence of car speed (variable 1) an the distances (variable 2) needed a complete stop. The following linear regression model is fitted to examine the relationship. Coefficients: Estimate Std. Error tvalue Pr(>It) (Intercept)-17.5791 6.7584 -2.601 0.0123 3.9324 0.4155 9.464 1.49e-12 ** Signif. codes: 0*** 0.001 ** 0.01* 0.05 .0.1 1 Residual standard error: 15.38 on 48 degrees of freedom Multiple R-squared: 0.6511. Adjusted R-squared: 0.6438 F-statistic: 89.57 on 1 and 48 DF. p-value: 1.49e-12 14(d) When the car speed is 30 mph, what is the expected distance to a complete stop? 14(e) We want to test He: B =0 vs H : B, # 0. Based on the output, do you reject Ho a level a = 0.05? O Yes ONo 14() Find the proportion of response variation explained by the model.

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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14al Astudy analyzed the influence of car speed (variable 1) on the distances (variable 2) needed to
a complete stop. The following linear regression model is fitted to examine the relationship.
Coefficients:
Estimate Std. Error tvalue Pr(>Itl)
(Intercept) -17.5791 6.7584 -2.601 0.0123"
3.9324 0.4155 9.464 1.49e-12 ***
Signif. codes: 0*** 0.001 * 0.01 0.05 .0.1 1
Residual standard error: 15.38 on 48 degrees of freedom
Multiple R-squared: 0.6511. Adjusted R-squared: 0.6438
F-statistic: 89.57 on 1 and 48 DF. p-value: 1.49e-12
14(d) When the car speed is 30 mph, what is the expected distance to a complete stop?
14(e) We want to test H : 8, =0 vs H : B, 0. Based on the output. do you reject Ho at
level a
0.05?
O Yes
O No
14) Find the proportion of response variation explained by the model.
Transcribed Image Text:14al Astudy analyzed the influence of car speed (variable 1) on the distances (variable 2) needed to a complete stop. The following linear regression model is fitted to examine the relationship. Coefficients: Estimate Std. Error tvalue Pr(>Itl) (Intercept) -17.5791 6.7584 -2.601 0.0123" 3.9324 0.4155 9.464 1.49e-12 *** Signif. codes: 0*** 0.001 * 0.01 0.05 .0.1 1 Residual standard error: 15.38 on 48 degrees of freedom Multiple R-squared: 0.6511. Adjusted R-squared: 0.6438 F-statistic: 89.57 on 1 and 48 DF. p-value: 1.49e-12 14(d) When the car speed is 30 mph, what is the expected distance to a complete stop? 14(e) We want to test H : 8, =0 vs H : B, 0. Based on the output. do you reject Ho at level a 0.05? O Yes O No 14) Find the proportion of response variation explained by the model.
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