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
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
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 H0: β1 = 0 vs H1: β1 ≠ 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.
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