Note I want the answers for a,b,c,d and e step by step with explanations and details by using ITSM.

Thank you

1.19 Use a text editor to construct and save a text file named TEST.TSM, which consists of a single column of 30 numbers, [xi.. .. 30), defined by , xi0: 486, 474, 434, 441,435, 401, 414, 414, 386,405; x. ,x20:411, 389, 414,426, 410, 441,459, 449,486, 510: 21,..., x3o: 506, 549, 579, 581, 630, 666, 674, 729,771,785. This series is in fact the sum of a quadratic trend and a period-three seasonal component. Use the program ITSM to apply the filter in Problem 1.14 to this time series and discuss the results. (Once the data have been typed, they can be imported directly into ITSM by highlighting the data to be imported, using the Windows command Select and Copy and then, in ITSM, selecting the option PilesProject>New> Univariate, clicking on OK and selecting File>Import Clipboard.)