The table shows data on the number of visitors to the UK in a month, v (1000s), and the amount of money they spent, m (£ millions), for each of 8 months. Number of visitors 2450 2480 2540 | 2420 | 2350 | 2290 | 2400 | 2460 v (1000s) Amount of money spent 1370 | 1350 | 1400 | 1330 m (£ millions) 1270 1210 1330 | 1350 The correlation coefficient between m and v is 0.962 a. Give a reason to support fitting a regression model of the form m = a+ bv to these data. b. Summary statistics are: v = 2423.75, m = 1326.25, s, = 77.9995421, sm = 59.985, R = 0.962 For a regression model of the form m = a + bv . Find the value of b (the slope) correct to two decimal places. c. Now calculate a (the intercept) to calculate the regression model. d. Interpreting the value of b, each additional visitor spends £ e. Using the equation calculated in part c, estimate the amount of money spent when the number of visitors to the UK in a month is 2,500,000

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The table shows data on the number of visitors to the UK in a month, v (1000s), and the amount of
money they spent, m (£ millions), for each of 8 months.
Number of visitors
2450 2480 2540 | 2420 | 2350 | 2290 2400 | 2460
v (1000s)
Amount of money spent 1370| 1350 | 1400 | 1330 | 1270
m (£ millions)
1210 | 1330 1350
The correlation coefficient between m and v is 0.962
a. Give a reason to support fitting a regression model of the form m = a+ bv to these data.
b. Summary statistics are:
v = 2423.75, m = 1326.25, s, = 77.9995421, sm = 59.985, R = 0.962
For a regression model of the form m = a + bv . Find the value of b (the slope) correct to two
decimal places.
c. Now calculate a (the intercept) to calculate the regression model.
d. Interpreting the value of b, each additional visitor spends £
e. Using the equation calculated in part c, estimate the amount of money spent when the number
of visitors to the UK in a month is 2,500,000
Transcribed Image Text:The table shows data on the number of visitors to the UK in a month, v (1000s), and the amount of money they spent, m (£ millions), for each of 8 months. Number of visitors 2450 2480 2540 | 2420 | 2350 | 2290 2400 | 2460 v (1000s) Amount of money spent 1370| 1350 | 1400 | 1330 | 1270 m (£ millions) 1210 | 1330 1350 The correlation coefficient between m and v is 0.962 a. Give a reason to support fitting a regression model of the form m = a+ bv to these data. b. Summary statistics are: v = 2423.75, m = 1326.25, s, = 77.9995421, sm = 59.985, R = 0.962 For a regression model of the form m = a + bv . Find the value of b (the slope) correct to two decimal places. c. Now calculate a (the intercept) to calculate the regression model. d. Interpreting the value of b, each additional visitor spends £ e. Using the equation calculated in part c, estimate the amount of money spent when the number of visitors to the UK in a month is 2,500,000
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