Question 6 (4 + 2 = 6 marks) The jTolo mobilo phone company is looking at tho Moot count containing their hosh- tag. in tho three days sor tho rolooso of a now modol. Tho counts are aggregated into four time periods; midnight to 6am. 6am to noon. noon to 8pm and Born to midnight. The data are below. Period 1 Poriod 2 Poriod 3 Poriod 4 Day I 25 55 53 2' Day 2 55 69 66 71 Day 3 57 78 92 82 The company decides to estimate the trend in the data. after a square root transfor- mation, and allowing for a periodic (seasonal) o'oct The tables below shows tho estimated moving average bend. and periodic components. 'I'i'iel'ld Period 1 Period 2 Period 3 Period 4 Day 1 5.73 t Day 2 7.65 7.87 8.08 8.17 Day 3 8.42 8.68 Periodic Period1 Period2 Period3 Period4 Periodic 41610 0.235 0.541 , Page 8 of 11 (a) Compute the missing trend component marked with a *