Question 4. (3 marks) Paul invested an amount for five years in a volatile business venture. He earned 40% on his investment during the first year, lost 35% during the second year, eamed 10% during the third year, earned 15% during the fourth year, and finally lost 25% during the fifth year. What has been his average annual return? Give your answer in percentage, rounded to I decimal Question 5. (5 marks) Consider the following (ordered) data set: -80, 30, 34, 35, 35, 40, 46, 78, 99, 100, 125, 130, 132, 150. a) (3 marks) Compute the interquartile range of the data set. b) (2 marks) Does this set contain outliers? Justify appropriately with a method seen in class. Question 6 (4 marks) a) 2 marks) Given two data sets X and Y of size Nthe coefficient of correlation can be computed with any of the formulas La - Hy) - Hy) ( - ) - .) (., ) - ., )) *Y) - NPLAY Nogoy (cm. x) - (O'][C.-C.) What does this coefficient measure? b) (2 marks) Consider the following scatter plots. Scatter plot 1 12 Scatter plot 2 25 10 20 8 . 15 0 10 D 0 a 5 10 15 20 25 0 5 10 Scatter plot 3 20 Scatteplot 15 . 15 10 15 25 Associate each of the wing coefficient of contie was the correcte plek 0.083 1) -0.941 -0.698 iv) -0.150 Anw