Estimat (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 1 21186 Pr(>F) 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 Họ : Bo = 0 vs. Ha : Bo # 0 and Ho : B1 = 0 vs. Ha : B1 7 0. What are the corresponding p-values?

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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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?
Transcribed Image Text: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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Follow-up Question

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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