1) A historic data set on the relationship between car speed (X) and stoppingdistance (Y) is given in the R data cars. Use the R output given below toanswer the following questions.Estimate Std. Error t value Pr(>|t|)(Intercept) -17.57916.7584-2.6010.01233.93240.41559.464 1.49e-12Multiple R-squared: 0.6511Analysis of Variance TableDf Sum Sq Mean Sq F valuePr (>F)1211861.490e-12Residuals 4811354a) What is the sample size in this study?b) Give the estimate of the standard deviation of the intrinsic error.c) Give the values of the t-test statistics for testing Ho : Bo = 0 vs.Ha : Bo + 0 and H, : B1 = 0 vs. Ha : B1 # 0. What are the correspondingp-values?d) Fill in the missing entries in the ANOVA table.e) What proportion of the total variability of the stopping distance isexplained by the regression model?

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Answered: Estimat (Intercept) -17.5791 6.7584…

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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1) A historic data set on the relationship between car speed (X) and stopping
distance (Y) is given in the R data cars. Use the R output given below to
answer the following questions.
Estimate Std. Error t value Pr(>|t|)
(Intercept) -17.5791
6.7584
-2.601
0.0123
3.9324
0.4155
9.464 1.49e-12
Multiple R-squared: 0.6511
Analysis of Variance Table
Df Sum Sq Mean Sq F value
Pr (>F)
1
21186
1.490e-12
Residuals 48
11354
a) What is the sample size in this study?
b) Give the estimate of the standard deviation of the intrinsic error.
c) Give the values of the t-test statistics for testing Ho : Bo = 0 vs.
Ha : Bo + 0 and H, : B1 = 0 vs. Ha : B1 # 0. What are the corresponding
p-values?
d) Fill in the missing entries in the ANOVA table.
e) What proportion of the total variability of the stopping distance is
explained by the regression model?

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Fill in the missing entries in the ANOVA table.
e) What proportion of the total variability of the stopping distance is
explained by the regression model?

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Fill in the missing entries in the ANOVA table.
e) What proportion of the total variability of the stopping distance is
explained by the regression model?

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d) Fill in the missing entries in the ANOVA table.
e) What proportion of the total variability of the stopping distance is
explained by the regression model?

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