Question 3 [Ev+5+4+6+2+2 = 15 Marks] A doctor asked ten of his patients. who were smokers. howlI many years they had smoked. In addition, for each patient, he gave a grade between t] and 10!] indicating the extent of their lung damage. The following table shows the results: Number of years smelting Lung damage grade [a] J{Ialculate the correlation coefcient between the number of years of smoking and the extent of lung damage. Comment on the gure which you obtain. [b] Determine the least square regression equation of 1' [grade] on 2:: [years]. {c} Interpret the coefcients of your regression line. [d] Plot a scatter diagram and plot your regression line on it. {e} What is the estimated lung damage grade of the patient whose been smoking for about 40 years? [fl alculate the value of the coefcient of determination. What does it tell you about the goodness of t of this simple linear regression model