Answer these questions.

1. The table shows data on the number of visitors to the UK each month, v (1000s), and he amount of money they spent, m (& millions), for each of the 8 months. Number of visitors v 2450 2480 2540 2420 2350 2290 2400 2460 (1000s) Amount of money 1370 1350 1400 1330 1270 1210 1330 1350 spent m (& millions) (a) Find the product moment correlation coefficient between m and v. [2] (b) Explain what the product moment correlation coefficient is. [2] (c) Give a reason to support fitting a regression model of the form m = a + bu to this data. (d) Given that the model has an equation m = -467 + 0.740v, interpret the mean- ing of the value 0.740. [2] (e) Use the model in part (d) to estimate the amount of money spent when the number of visitors to the UK in a month is 2500000 [2] (f) Comment on the reliability in part (e), giving a reason for your answer. [1]2. The percentage mock exam marks, of a random sample of 8 GCSE students, in Geography and History are recorded in the table below. Student A B C D E F G H Geography score 80 29 56 56 58 45 67 72 History score 78 49 65 5O 75 50 6O 47 (a) Explain how the random sample might have been taken, giving a specic de nition of the sampling frame that was used. [3]