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For n = 6 data points, the following quantities have been calculated:
Σx = 40
Σy = 76
Σxy = 400
Σx2 = 346
Σy2 = 1160
Σ(y - y^)2 = 52.334
a. Determine the least-squares regression line.
b. Determine the standard error of estimate.
c. Construct the 95% confidence interval for the mean of y when x = 7.0.
d. Construct the 95% confidence interval for the mean of y when x = 9.0.
e. Compare the width of the confidence interval obtained in part (c) with that obtained in part (d). Which is wider and why?
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