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Regress Y against X with the following data from a random sample of 15 observations:
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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