Correlation and Simple Linear Regression

The Cadet is a popular model of sport utility vehicle, known for its relatively high resale value. The bivariate data given below were taken from a sample of fteen Cadets, each bought "new" two years ago and each sold "used" within the past month. For each Cadet in the sample, we have listed both the mileage, x (in thousands), that the Cadet had on its odometer at the time it was sold used, and the price, y (in thousands of dollars), at which the Cadet was sold used. These data are shown graphically in the scatter plit in Figure 1. Also given is the product of the mileage and the used selling price for each of the fifteen Cadets. (These products, written in the column labelled "xy", may aid in calculations.) Used selling Mileage, x price, y (in thousands) (in thousands of dollars) 15.7 34.2 536.94 y 25.9 27.5 712.25 40 21.0 31.6 663.6 1,? I. 29.4 27.8 817.32 rug .25-- e g x x 20.7 30.6 633.42 a... X or O X r: m 30.- X x x 37.6 22.7 853.52 E 13 X x (D C x II) to X X 28.1 29.7 834.57 t, g x X a) o 25.. 24.3 27.4 665.82 3 5 x 28.3 26.3 744.29 5 20-. 23.6 28.6 674.96 x x 23.1 33.8 780.78 [1'5 2b 2'5 3\" 3'5 \"'5 > Mileage 24.3 30.2 733.86 (in thousands) 34.7 25.7 891.79 Figure 1 23.0 31.4 722.2 26.6 30.6 813.96 '/ Send data to calculator v Send data to Excel 7 What is the sample correlation coefficient for these data? Carry your intermediate computations to at least four decimal places and round your answer to at least three decimal places. (If necessary, consult a list of formulas.) / X 6)