Ken Kamien stages ‘retro rock nights' on an occasional basis at a large city centre venue. Teams of casual employees hand out ‘discount' ticket cards at colleges and music venues to advertise these events. The number of cards handed out before each of the nine events staged so far, and the audience they attracted are given below.
(a) Find the least squares regression equation and test the hypothesis, at the 5% level of significance, that the population slope is zero.
(b) Construct a 95% confidence interval for the mean number of people attracted to an event when 4400 cards have been distributed.