Chapter 4, Problem 33SE

Height and Arm Span for Women (Example 4) TI-84 output from a linear model for predicting arm span (in centimeters) from height (in inches) is given in the figure. Summary statistics are also provided.

To do parts a through c, assume that the association between arm span and height is linear.

a. Report the regression equation, using the words height and arm span, not $x$ and $y$, employing the output given.

b. Verify the slope by using the formula $b=r\frac{s_y}{s_x}$.

c. Verify the y-intercept using $a=\bar{y}-b\bar{x}$.

d. Using the regression equation, predict the arm span (in centimeters) for someone 64 inches tall.