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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?

Statistics and Probability, Statistics

  • Category:- Statistics and Probability
  • Reference No.:- M92191566

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