A popular, nationwide standardized test taken by high-school juniors and seniors may or may not measure academic potential, but we can nonetheless examine the relationship between scores on this test and performance in college. We have chosen a random sample of fifteen students just finishing their first year of college, and for each student we've recorded her score on this standardized test (from 400 to 1600) and her grade point average (from 0 to 4) for her first year in college. The data are shown below, with x denoting the score on the standardized test and y denoting the first-year college grade point average. A scatter plot of the data is shown in Figure 1. Also given is the product of the standardized test score and the grade point average for each of the fifteen students. (These products, written in the column labelled "xy", may aid in calculations.) Standardized Grade test score, x point xy average, y 1100 2.15 2365 1200 2.80 3360 950 2.18 2071 3.8. 1410 2.92 4117.2 3.6- 3.4 1000 2.28 2280 1300 3.05 3965 2.8- Grade point average 850 2.17 1844.5 2.6 24 1270 3.33 4229.1 2.2 780 2.23 1739.4 2 1.8 1500 3.03 4545 "8009001 060 100 200 300 460 500 1060 2.98 3158.8 Standardized test score 1490 3.40 5066 Figure 1 1350 3.60 4860 990 3.24 3207.6 910 2.81 2557,1 Send data to calc... Sind data to Excel What is the slope of the least-squares regression line for these data? Carry your intermediate computations to at least four decimal places and round your answer to at least four decimal places. (If necessary, consult a list of formulas.)