A bank reviews its customer records at the end of each month to find out how...

 

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A bank reviews its customer records at the end of each month to find out how many customers have become unemployed, u, and how many have had their house repossessed, h, during that month. The bank codes the data using variables x = ! The results for the 12 months of 2009 are summarised below. u-100 and y 3 h-20 7 Ex=477 Sxx = 5606.25 Ey = 480 Syy = 4244 Exy = 23070 a) Find the value of Sxy .... (4 marks) b) Calculate the value of the product moment correlation coefficient for x and y, the coded data. (3 marks) c) Write down the product moment correlation coefficient for u and h, explain your answer. The bank claims that an increase in unemployment among its customers is associated with an increase in house repossessions. State, with a reason, whether or not the bank's claim is supported by these data. (3 marks) Question 4 A travel agent sells flights to different destinations from Beerow airport. The distance d, measured in 100 km, of the destination from the airport and the fare f are recorded for a random sample of 6 destinations. Destination A B D E F d 2.2 4.0 6.0 2.5 8.0 5.0 f 18 20 25 23 32 28 f 40- 30- 20 10 d (100 km) Explain why a linear regression model may be appropriate to describe the relationship between f and d. a) Find the equation of the regression line of f on d using your calculator in the form f=a+bd, where b and d are constants to be found b) Give an interpretation of the values of b and d ----------------------------------- ..(3 marks) (4 marks) A bank reviews its customer records at the end of each month to find out how many customers have become unemployed, u, and how many have had their house repossessed, h, during that month. The bank codes the data using variables x = ! The results for the 12 months of 2009 are summarised below. u-100 and y 3 h-20 7 Ex=477 Sxx = 5606.25 Ey = 480 Syy = 4244 Exy = 23070 a) Find the value of Sxy .... (4 marks) b) Calculate the value of the product moment correlation coefficient for x and y, the coded data. (3 marks) c) Write down the product moment correlation coefficient for u and h, explain your answer. The bank claims that an increase in unemployment among its customers is associated with an increase in house repossessions. State, with a reason, whether or not the bank's claim is supported by these data. (3 marks) Question 4 A travel agent sells flights to different destinations from Beerow airport. The distance d, measured in 100 km, of the destination from the airport and the fare f are recorded for a random sample of 6 destinations. Destination A B D E F d 2.2 4.0 6.0 2.5 8.0 5.0 f 18 20 25 23 32 28 f 40- 30- 20 10 d (100 km) Explain why a linear regression model may be appropriate to describe the relationship between f and d. a) Find the equation of the regression line of f on d using your calculator in the form f=a+bd, where b and d are constants to be found b) Give an interpretation of the values of b and d ----------------------------------- ..(3 marks) (4 marks)