Regress Y against X with the following data from a random sample of 15 observations: X Y
Question:
Regress Y against X with the following data from a random sample of 15 observations:
X Y
12 ..............100
4 ............... 60
10 .............. 96
15 ..............102
6 ............... 68
4 ............... 70
13 ..............102
11 .............. 92
10 .............. 95
18 ..............125
20 ..............134
22 ..............133
8 ............... 87
20 ................122
11 ..............101
a. What is the regression equation?
b. What is the 90% confidence interval for the slope?
c. Test the null hypothesis “X does not affect Y” at an α of 1%.
d. Test the null hypothesis “the slope is zero” at an α of 1%.
e. Make a point prediction of Y when X = 10.
f. Assume that the value of X is controllable. What should be the value of X if the desired value for Y is 100?
g. Construct a residual plot. Are the residuals random?
h. Construct a normal probability plot. Are the residuals normally distributed?
Step by Step Answer:
Complete Business Statistics
ISBN: 9780077239695
7th Edition
Authors: Amir Aczel, Jayavel Sounderpandian