Question 131445: Please kindly help me. I am struggling with this question. I desperately need your help.
12.48 In the following regression, X = weekly pay, Y = income tax withheld, and
n = 35 McDonald’s employees.
(a) Write the fitted regression equation.
(b) State the degrees of freedom for a two-tailed test for zero slope, and use Appendix D to find the
critical value at alpha = .05.
(c) What is your conclusion about the slope?
(d) Interpret the 95 percent confidence limits for the slope.
(e) Verify that F = t2 for the slope.
(f) In your own words, describe the fit of this regression.
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 0.0068
Residual 1533.0614 33 46.4564
Total 1920.7573 34
Regression output Confidence interval
variables coefficients std. error t(df=33) p-value 95% lower95% upper
Intercept 30.7963 6.4078 4.806 0.0000 17.7595 43.8331
Slope 0.0343 0.0119 2.889 0.0068 0.0101 0.0584
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! You will have to judge whether this feedback makes any sense as this is
not a familiar area for me.
_____________________________
In the following regression, X = weekly pay, Y = income tax withheld, and
n = 35 McDonald’s employees.
(a) Write the fitted regression equation.
Looking at your "Regression Output" I see
Y = 0.0343X + 30.7963
-------------------------------------
(b) State the degrees of freedom for a two-tailed test for zero slope, and use Appendix D to find the
critical value at alpha = .05.
-------
Again, based on your "Regression Output" data, df=33
I don't know what your "D" chart is but you have to look
at it to find the critical values for 2-tail tests with
alpha=5%
----------------
(c) What is your conclusion about the slope?
The p-value is 0.0068 so, whatever your Ho is, you
are going to reject it.
------------------------------------
(d) Interpret the 95 percent confidence limits for the slope.
With 95% confidence you can claim the slope of the regression
line is between 0.0101 and 0.0584.
----------------------------
(e) Verify that F = t2 for the slope.
Not sure what this is all about.
------------------------------
(f) In your own words, describe the fit of this regression.
I'll leave that to you.
==============
Cheers,
Stan H.
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 0.0068
Residual 1533.0614 33 46.4564
Total 1920.7573 34
Regression output Confidence interval
variables coefficients std. error t(df=33) p-value 95% lower95% upper
Intercept 30.7963 6.4078 4.806 0.0000 17.7595 43.8331
Slope 0.0343 0.0119 2.889 0.0068 0.0101 0.0584
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