In the following regression, X = weekly pay, Y = income tax withheld, and n = 35 McDonald's employees.       R2 0.202 Std. Error 6.816 n 35     ANOVA table Source SS df MS F p-value Regression   387.6959     1     387.6959     8.35     .0068   Residual   1,533.0614     33     46.4564               Total   1,920.7573

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question

In the following regression, X = weekly pay, Y = income tax withheld, and n = 35 McDonald's employees.
 

   
R2 0.202
Std. Error 6.816
n 35
 

 

ANOVA table
Source SS df MS F p-value
Regression   387.6959     1     387.6959     8.35     .0068  
Residual   1,533.0614     33     46.4564              
Total   1,920.7573     34                    
 

 

Regression output confidence interval
variables coefficients std. error t Stat p-value Lower 95% Upper 95%
Intercept   30.7963     6.4078     4.806     .0000     17.7595     43.8331  
Slope   0.0343     0.0119     2.889     .0068     0.0101     0.0584  
 

 
(a) Write the fitted regression equation.
  
YˆY^ =  +  X
 
(b-1) State the degrees of freedom for a two-tailed test for zero slope, and use Appendix D to find the critical value at α = .05. (Round t.025 to 3 decimal places.)
  

Degrees of freedom  
t.025  

 
(b-2) Choose the correct option for H0β1 = 0 vs H1β1 ≠ 0.
  
multiple choice 1

  • Reject the null hypothesis if tcalc < -2.035 or if tcalc > -2.035
  • Reject the null hypothesis if tcalc > 2.035 or if tcalc < -2.035


 
(c-1) Calculate t(Round your answer to 3 decimal places.)
  
tcalc            
 
(c-2) We reject the null hypothesis.

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman