?The following data represent the height (inches) of boys between the ages of 2 and 10 years. (a) Treating age as the explanatory variable, de
Chapter 14, Problem 3(choose chapter or problem)
The following data represent the height (inches) of boys between the ages of 2 and 10 years.
(a) Treating age as the explanatory variable, determine the estimates of b0 and b1. What is the mean height of a 7-year-old boy?
(b) Compute the standard error of the estimate, se.
(c) Assuming the residuals are normally distributed, test whether a linear relation exists between the explanatory variable, age, and response variable, height, at the = 0.05 level of significance.
(d) Assuming the residuals are normally distributed, construct a 95% confidence interval for the slope of the true leastsquares regression line.
(e) Construct a 90% confidence interval for the mean height found in part (a).
(f) Predict the height of a 7-year-old boy.
(g) Construct a 90% prediction interval for the height found in part (f).
(h) Explain why the predicted heights found in parts (a) and (f) are the same, yet the intervals are different.
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