Lenovo uses the ZX-81 chip in some of its laptop computers. The prices for the chip during the past 12 months were as follows: MONTH PRICE PERCHIP MONTH PRICE PERCHIP January $1.80 July 1.80 February 1.67 August 1.83 March 1.70 September 1.70 April 1.85 October 1.65 May 1.90 November 1.70 June 1.87 December 1.75 • a) Use a 2-month moving average on all the data and plot the averages and the prices. • b) Use a 3-month moving average and add the 3-month plot to the graph created in part (a). • c) Which is better (using the mean absolute deviation): the 2-month average or the 3-month average? • d) Compute the forecasts for each month using exponential smoothing, with an initial forecast for January of $1.80. Use α = .1, then α = .3, and finally α = .5. Using MAD, which a is the best?