$26.$ Bear Markets $($Refer to Problem $32,$ Section $4\mathrm{.}1)$ A bear market in the stock market is defined as a condition in which market declines by $20\%$ or more over the course of at least two months. The following data represent the number of months and percentage change in the S&P$500($a group of $500$ stocks$).$ Based on the analysis from Problem $32$ in Section $4\mathrm{.}1,$ what would be the predicted percent change in the S& P$500$ during a bear market that lasted $10$ months?

$30$ months?

Months Percent Change

Months Percent Change

$1\mathrm{.}9$

$-44\mathrm{.}57$

$12\mathrm{.}1$

$-20\mathrm{.}57$

$8\mathrm{.}3$

$-44\mathrm{.}29$

$14\mathrm{.}9$

$-21\mathrm{.}63$

$3\mathrm{.}3$

$-32\mathrm{.}86$

$6\mathrm{.}5$

$-27\mathrm{.}97$

$3\mathrm{.}4$

$-42\mathrm{.}54$

$8$

$-22\mathrm{.}18$

$6\mathrm{.}8$

$-61\mathrm{.}81$

$18\mathrm{.}1$

$-36\mathrm{.}06$

$5\mathrm{.}8$

$-40\mathrm{.}60$

$21$

$-48\mathrm{.}20$

$3\mathrm{.}1$

$-29\mathrm{.}43$

$20\mathrm{.}7$

$-27\mathrm{.}11$

$13\mathrm{.}4$

$-31\mathrm{.}81$

$3\mathrm{.}4$

$-33\mathrm{.}51$

$12\mathrm{.}9$

$-54\mathrm{.}47$

$18\mathrm{.}2$

$-36\mathrm{.}77$

$5\mathrm{.}1$

$-24\mathrm{.}44$

$9\mathrm{.}3$

$-33\mathrm{.}75$

$7\mathrm{.}6$

$-28\mathrm{.}69$

$13\mathrm{.}6$

$-51\mathrm{.}93$

$17\mathrm{.}9$

$-34\mathrm{.}42$

$2\mathrm{.}1$

$-27\mathrm{.}62$

$11\mathrm{.}8$

$-28\mathrm{.}47$