Chapter 4.4, Problem 3E

Special Rounding Instructions For this exercise set, round all regression parameters to three decimal places, but round all other answers to two decimal places unless otherwise indicated.

First Down The following table shows the probability $P$, as a percentage, of a college football team converting on fourth down (when not goal to go) versus the distance $D$, in yards, to the first down maker. ${}^{28}$

$D$ = distance, in yards	$P$ = probability (%)
$1$	$70$
$2$	$60$
$3$	$53$
$4$	$46$
$5$	$41$
$6$	$37$
$7$	$34$
$8$	$32$

a. Use exponential regression to model the data.

b. Plot the data along with the exponential model.

c. What probability does the model give of gaining a first down for fourth down and $10\text{yards}$ to go? (Note: the actual probability is $28\%$.)