Give your answers correct to two decimal places unless otherwise stated.

Because elderly people may have difficulty standing to have their height measured, a study looked at the relationship between overall height and height to the knee. Here are data (in centimeters) for five elderly men:

Knee Height. 57.5 46 41.1 48.3 58

Height 191.1 154.2 148.6 162.2 170.6

For this data, it is known that=250.9, =826.7, ^2 = 12808.35, ^2 = 137792.01 and =41917.97

What is the equation of the least-squares regression line for predicting height from knee height?

ANSWER:^=

Compute the linear correlation coefficient of these data, correct to four decimal places.

ANSWER:

Predict the mean height of an elderly man with a knee height of 46 centimeters.

ANSWER:

Assume known that =8.97228. Find a 99% confidence interval for the mean height of an elderly man with a knee height of 46 centimeters.

CI: (,)