Chapter 4.4, Problem 5E

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.

Rare Coins The table below shows the estimated value $C$, in dollars, of an $1877$ Indian Head Cent (Philadelphia mint mark) in very fine condition $t$ years after $1950$.

$t=time,inyearssince1950$	$C=value,indollars$
$0$	$25$
$30$	$400$
$45$	$625$
$54$	$1750$
$60$	$2000$

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

b. According to your exponential model, by what percentage does the value of the $1877$ cent increase from year to year?