For questions $1-8$ : Suppose a stock's value $y($in $$)$ was recorded for $x$ months since purchase:

$\backslash$table$[[L_1$:$x,L_2$:$y,L_3=$dots,$L_4=$dots,$],[0,725,,,],[1,700,,,],[2,650,,,],[3,575,,,],[4,450,,,],[5,350,,,],[6,200,,,],[7,25,,,]]$

Residual

$($$$)$

Using your calculator, find $r$ and the LSRL$.$ Round LSRL coefficients to the nearest thousandth.

$r=$

Rounded LSRL:

$2.$ Putting the Rounded LSRL into $Y_1$ on your calculator, program $L_3$ to find the LSRL estimates for each given $x$ value. Write your program in the $L_3$ heading, and record your results in $L_3.$

$3.$ With your LSRL estimates in $L_3,$ program $L_4$ to find the residuals for each given $x$ value. Write your program in the $L_4$ heading, and record your results in $L_4.$

$4.$ Plot your residuals in the grid provided above, and describe the "leftover pattern".

Leftover pattern:

$5.$ Based on your plot of the residuals, subjectively determine if the LSRL is an appropriate model for the data. EXPLAIN YOUR ANSWER BASED ON THE LEFTOVER PATTERN.

$6.$ Program $L_5$ to calculate the square of the residuals, and record the results in $L_5.$ Write your program in the $L_s$ heading.

$7.$ Using your calculator list results, show the manual calculation of the standard deviation of the residuals.