Problem $3-29($Algo$)$

Mark Price, the new productions manager for Speakers and Company, needs to find out which variable most affects the demand for their line of company speakers. He is uncertain whether the unit price of the product or the effects of increased marketing are the main drivers in sales and wants to use regression analysis to figure out which factor drives more demand for its particular market. Pertinent information was collected by an extensive marketing project that lasted over the past $12$ years and was reduced to the data that follow:

$\backslash$table$[[$YEAR$,$UNIT SALES,PRICE $ PER,ADVERTISING$],[($THOUSANDS$),$UNIT,$($$$000),],[1,397,281,575],[2,697,220,828],[3,897,207,1,117],[4,1,280,211,1,412],[5,1,154,220,1,215],[6,1,187,208,1,280],[7,897,217,906],[8,1,117,205,1,117],[9,990,219,707],[10,1,333,207,906],[11\mathrm{.}1,925,220,707],[12,819,237,684]]$

a$.$ Perform a regression analysis based on these data using Excel.

Note: Negative values should be indicated by a minus sign. Round your answers to $4$ decimal places.

y bar Price

a$.$ Perform a regression analysis based on these data using Excel.

Note: Negarive values should be indicated by a minus sign. Round your answers to $4$ decimal places.

y bar $=+$ Price advertising

c$.$ Predict average yearly speaker sales for Speakers and Company based on the regression results if the price was $$297$ per unit and the amount spent on advertising $($in thousands$)$ was $$896.$

Note: Enter your answer in thousands. Round your intermediate calculations and final answer to $2$ decimal places.

Forecasted sales

thousand units

answer this question in full please!