Question 7

Apple have recorded the number of tweets per season over three years, containing the hashtag #appleproblems, to gauge the trend in negative sentiment towards the company. They want to use this information to work out which time of year they should begin their advertising campaign.

The square root of the tweet counts are presented below split into their estimated trend and periodic components. 

Trend

Periodic

(a) Compute the missing trend component for Autumn of Year 2.

(b) Compute the missing periodic component for Autumn.

(c) Which Season should Apple begin its advertising campaign and why?

(d) It was found that the trend component can be closely modelled using a linear regression and R produced the following results. Using R output and the periodic data, how many tweets do we predict contain ”#appleproblems” in the Winter of Year 3?