2 A book collector compared the prices of some books, fx, when new in 1972 and the prices of copies of the same books, fy, on a second-hand website in 2018. The results are shown in Table 1 and are summarised below the table. Book A B C D E F G H I J K L 0.95 0.65 0.70 0.90 0.55 1.40 1.50 0.50 1.15 0.35 0.20 0.35 6.06 7.00 2.00 5.87 4.00 5.36 7.19 2.50 3.00 8.29 1.37 2.00 Table 1 " = 12, Ex = 9.20, Ey = 54.64, Ex? = 8.9950, Ey? = 310.4572, Exy = 46.0545 (a) It is given that the value of Pearson's product-moment correlation coefficient for the data is 0.381, correct to 3 significant figures. (i) State what this information tells you about a scatter diagram illustrating the data. [1] (ii) Test at the 5% significance level whether there is evidence of positive correlation between prices in 1972 and prices in 2018. [5] (b) The collector noticed that the second-hand copy of book J was unusually expensive and he decided to ignore the data for book J. Calculate the value of Pearson's product-moment correlation coefficient for the other 11 books. [2]