2- A farming cooperative manager wants to estimate quarterly relatives for grain shipments, based on the data shown (quantities are in metric tons):

2- A farming cooperative manager wants to estimate quarterly relatives for grain shipments,based on the data shown (quantities are in metric tons):QUARTER4200 250 210 340210 252 212 360215 260 220 358225 272 233 372232 284 240 381Determine quarter relatives. (Hint: Use a centered four-period moving average initially, andthen use a centered two-period moving average of the four-period moving average.)2-The manager of a seafood restaurant was asked to establish a pricing policy on lobster dinners.Experimenting with prices produced the following data:Average Number Average NumberSold per Day, y Price, x Sold per Day, y Price, x155 . . . . . . . . . $8.25156 . . . . . . . . . 8.50148 . . . . . . . . . 8.75140 . . . . . . . . . 9.00133 . . . . . . . . . 9.25162 . . . . . . . . . 7.50160 . . . . . . . . . 8.00a. Plot the data and a regression line on the same graph.b. Determine the correlation coefficient and interpret 3-3- National Mixer, Inc., sells can openers. Monthly sales for a seven-month period were as follows:SalesMonth (000 units)Feb. . . . . . . . . 19Mar. . . . . . . . . 18Apr. . . . . . . . . 15May . . . . . . . . 20Jun. . . . . . . . . 18Jul. . . . . . . . . . 22Aug. . . . . . . . . 20a. Plot the monthly data on a sheet of graph paper.b. Forecast September sales volume using each of the following:(1) A linear trend equation.(2) A five-month moving average.(3) Exponential smoothing with a smoothing constant equal to .20, assuming a March forecastof 19(000).(4) The naive approach.(5) A weighted average using .60 for August, .30 for July, and .10 for June.c. Which method seems least appropriate? Why?d. What does use of the term sales rather than demand presume?