An auto manufacturing company wishes to investigate how the price of one of its car models depreciates with age. The research department took a sample of 10 cars of this model and collected the following information on the ages (in years) and the prices (in hundreds of dollars). Age, X 3 9 3 2 6 5 6 8 6 4 Price, y 99 21 94 140 30 38 41 15 37 80 Note: x =52 , Ly =595, Xx2 =316, Ly2 =50697 , Exy=2326 a) Draw a scatter plot for this data. b) Would you expect a positive or a negative relationship between the variables x and y? Explain. C) Calculate the linear correlation coefficient, r. Calculate the line-of-best-fit (regression line) AND add it to your scatter plot. Estimate the price of a 7 year old car of this model