4. The table shows data on the number of visitors to the Malaysia in a month, v (1000s), and the amount of money they spent, m (MYR millions), for each of 8 months (CO2, C3, PO1) Number of visitors, 2450 2480 2540 2420 2350 2290 2400 2460 v (1000s) Amount of money spent, 1370 1350 1400 1330 1270 1210 1330 1350 m (MYR millions) a) Solve product moment correlation coefficient between v and m. b) Describe the reason to support fitting a regression model of the form m = Bo + B¡v to %3D these data c) Find the value of ß; correct to 3 decimal places

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter2: Equations And Inequalities

Section2.7: More On Inequalities

Problem 44E

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Question

4. The table shows data on the number of visitors to the Malaysia in a month, v (1000s), and
the amount of money they spent, m (MYR millions), for each of 8 months (CO2, C3, PO1)
Number of visitors,
2450
2480
2540
2420
2350
2290
2400
2460
v (1000s)
Amount of money spent,
1370
1350
1400
1330
1270
1210
1330
1350
m (MYR millions)
a) Solve product moment correlation coefficient between v and m.
b) Describe the reason to support fitting a regression model of the form m = Bo + Biv to
these data
c) Find the value of ß; correct to 3 decimal places
d) Illustrate the equation of the regression line of m on v
e) Interpret your value of ß;
f) Use your answer to part (d) to estimate the amount of money spent when the number of
visitors to Malaysia in a month is 2,500,000
g) Comment on the reliability of your estimate in part (f). Give your reason.

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4. The table shows data on the number of visitors to the Malaysia in a month, v (1000s), and the amount of money they spent, m (MYR millions), for each of 8 months (CO2, C3, PO1) Number of visitors, 2450 2480 2540 2420 2350 2290 2400 2460 v (1000s) Amount of money spent, 1370 1350 1400 1330 1270 1210 1330 1350 m (MYR millions) a) Solve product moment correlation coefficient between v and m. b) Describe the reason to support fitting a regression model of the form m = Bo + Biv to these data c) Find the value of ß; correct to 3 decimal places d) Illustrate the equation of the regression line of m on v e) Interpret your value of ß; f) Use your answer to part (d) to estimate the amount of money spent when the number of visitors to Malaysia in a month is 2,500,000 g) Comment on the reliability of your estimate in part (f). Give your reason.

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