Chapter 4.4, Problem 2E

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.

Design Patents The following table shows the number $P$ of design patents awarded by the U.S. Patents and Trademark Office from $1950$ through $2010$.

$t$ = years since 1950	$P$ = patents
$0$	$4718$
$10$	$2543$
$20$	$3214$
$30$	$3949$
$40$	$8024$
$50$	$17,413$
$60$	$22,799$

a. Use exponential regression to model $P$ as a function of $t$.

b. Plot the data along with the regression equation.

c. In what years were there more patents awarded than might be expected from the model?