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?


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  • CreatedJune 03, 2015
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