Q$1.(10$ points$)$ PrinterWorks is a large computer discount store that sells computers and ancillary equipment and PC software in the city where McMaster University is located. PrinterWorks has collected historical data on computer sales and printer sales for the past $10$ years, as follows:

Year Personal Computers Sold Printers Sold

$11,045326$

$21,610510$

$3860296$

$41,211478$

$5975305$

$61,117506$

$71,066612$

$81,310560$

$91,517590$

$101,246676$

Required:

a$.$ Develop a linear trend line forecast to forecast printer demand in year $11.$

b$.$ Develop a linear regression model relating printer sales to computer sales to forecast printer demand in year $11,$ if $1,300$ computers are sold.

c$.$ Compare the forecasts developed in $($a$)$ and $($b$)$ and indicate which one appears to be more accurate.

d$.$ Develop an exponential smoothing model with $\backslash$alpha $=\mathrm{.}30$ for the data to forecast printer demand in year $11$ and compare its accuracy to the linear trend line forecast developed in $($a$)$ above.