9.13 A promoter stages ‘disco classics’ 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 ten 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 per cent level of significance, that the population slope is zero.

(b) Construct a 95 per cent confidence interval for the mean number of people attracted to an event when 4400 cards have been distributed.

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Number of cards: 3750 4100 4500 4750 4800 5250 4600 4800 4320 Audience: 925 1000 1150 1200 1100 1680 1480 1370 860