Regress Y against X with the following data from a random sample of the 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 ? of 1%
d) Test the null hypothesis "the slope is zero" at an ? 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.