We want to predict the selling price of a house in Newburg Park, Florida, based on the distance the house lies from the beach. Suppose that we're given the data in the table below. These data detail the distance from the beach (x, in miles) and the selling price (V, in thousands of dollars) for each of a sample of sixteen homes sold in Newburg Park in the past year. The data are plotted in the scatter plot in Figure 1. Also given is the product of the distance from the beach and the house price for each of the sixteen houses, (These products, written in the column labelled "x)", may aid in calculations.) Distance Selling price, from the y beach, X (in thousands xy (in miles) of dollars) 8,2 284.8 2335.36 6.5 314.8 2046.2 8.1 294.1 2382.21 4.9 277.5 1359.75 4.4 267.9 1178.76 13.1 202.6 2654.06 Selling price (in thousands of dollars) 6.4 222.4 1423.36 3.6 315.9 1137.24 9.0 227.5 2047.5 13.2 230.5 3042 6 9.6 276.1 2650.56 16.7 230.5 3849.35 Distance from the beach (in miles) 7.1 242.4 1721.04 Figure 1 13.4 187.6 2513.84 9.2 203.5 1872.2 13.2 272.4 3595.65 Send data to calculator 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