Week $1$ attendance $14560$

Week $2$ attendance $14327$

Week $3$ attendance $15987$

Week $4$ attendance $14689$

Week $5$ attendance $16332$

Week $6$ attendance $15984$

Week $7$ attendance $17456$

Week $8$ attendance $16334$

Week $9$ attendance $18374$

Week $10$ attendance $19467$

Week $11$ attendance $20156$

Week $12$ attendance $22489$

Week $13$ attendance $21984$

Week $14$ attendance $24378$

Week $15$ attendance $27489$

Week $16$ attendance $26589$

q$1$ Use an exponential smoothing model with a smoothing constant of $0\mathrm{.}6$ to predict the number of visitors in week $17.$ what is the prediction?

Q$2$ what would happen to your forecast if the smoothing constant had been $0\mathrm{.}3$ instead of $0\mathrm{.}6?$ Explain qualitatively what would happen and why

Q$3$ can you use the current data, together with an exponential smoothing model to predict customer visits for week $20?$ why