$1.$ Barbara Lynch is the product manager for a line of skiwear produced by HeathCo Industries and privately branded for sale under several different names, including Northern Slopes and Jacque Monri. A new part of Ms$.$ Lynch$\text{'}$s job is to provide a quarterly forecast of sales for the northern United States, a region composed of $27$ states stretching from Mame to Washington. A $10-$year sales history is shown:a$.$ Because Ms$.$ Lynch has so many other job responsibilities, she has hired you to help with the forecasting effort. First, she would like you to prepare a time$-$series plot of the data and to write her a memo indicating what the plot appears to show and whether it seems likely that a simple linear trend would be useful in preparing forecasts. b$.$ In addition to plotting the data over time. you should estimate the least$-$rquares trend line in the form: SALES $-$a$+$b$($ TIME $)$ Set TIME $=1$ for $2007$ Q $1$ through TIME $=40$ for $20$ I$6$Q$4.$ Write the trend equation: SALES $=4($TIME$)($Circle $+$ or $-$ as appropriate$)$ c$.$ Do your regression results indicate to you that there is a significant tiend to the data? Explain why or why not. d$.$ On the basis of your results, prepare a forecast for the four quarters of $2017.$ Q $2=328\mathrm{.}982,$ Q $3=317,921.$ and Q $4=330\mathrm{.}118.$ How accurale was your moded What was the meen absohine perontage mioc $($MAPE$)$