question 4

Question 4 A statistician is investigating the relationship between the amount of rain (in inches) and the number of automobile accidents in her city for 10 randomly selected days throughout the year. The data is shown below: Day Rain Number of Accidents 0.05 0.12 0.05 BOOANau 0.08 5 0.10 6 0.35 0.15 8 0.30 13 0.10 10 0.20 10 (i) Draw a scatter plot diagram to depict the relationship between the two variables. (2 marks) (ii) Calculate the covariance between the two variables. (4 marks) (iii) Calculate the coefficient of correlation between the two variables, and interpret the results. (3 marks) (iv) Calculate the regression line using least square method between the two variables. (3 marks) (v) Estimate the number of accidents in a day with 0.25 inches of rain. (2 marks)