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5. For a sample of ten men, the table below gives their gross monthly income (in thousands of {) and the amount they spent on
5. For a sample of ten men, the table below gives their gross monthly income (in thousands of {) and the amount they spent on alcohol in the last month (in hundreds of E). Person Income Alcohol 3.5 1.6 N 5.1 3.6 2.4 1.1 A 2.3 0.5 1.1 0.1 2.4 1.1 2.9 1.2 1.9 2.4 9 2.6 1.3 10 1.6 1.3 (a) Draw a scatterplot of these data. Describe the overall pattern in the scatterplot and any striking deviations from the pattern. (5 marks) (b) Compute the sample mean and standard deviation of income and alcohol expenditure. (6 marks) (c) Compute (by hand) the correlation between income and alcohol expenditures. Show the steps in your computation. (5 marks)Page D (d) Find a regression line which allows you to predict alcohol expenditure given information on income. (5 marks) (e) Interpret the results of this regression. Pay particular attention to the measurement of the two variables. (3 marks) (f) With reference to the regression computed in point (d), discuss the difference between observed value (Y) and predicted value (P). (6 marks)
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