Chapter 1.2, Problem 82E

IDEAL HEIGHTS AND WEIGHTS FOR WOMEN The Venus Health Club for Women provides its members with the following table, which gives the average desirable weight (in pounds) for women of a given height (in inches):

Height, $x$	$60$	$63$	$66$	$69$	$72$
Weight, $y$	$108$	$118$	$129$	$140$	$152$

a. Plot the weight $\left(y\right)$ versus the height $\left(x\right)$.

b. Draw a straight line $L$ through the points corresponding to heights of $5\text{ft}$ and $6\text{ft}$.

c. Derive an equation of the line $L$.

d. Using the equation of part $\left(\text{c}\right)$, estimate the average desirable weight for a woman who is $\text{5}\text{ft,}\text{5}\text{in}$. tall.