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It is thought that basketball teams that make too many fouls in a game tend to lose the game even if they otherwise play well. Let x be the number of fouls more than (i.e., over and above) the opposing team. Let y be the percentage of times the team with the larger number of fouls wins the game. x 49 42 33 LA USE SALT Complete parts (a) through (e), given Ex = 16, Ly = 150, Ex2 = 78, Ey? = 5930, Exy = 538, and / x -0.9488. (a) Draw a scatter diagram displaying the data. Graph Layers After you add an object to the graph you can use Graph Layers to view and edit its properties. Fill Solution Help WebAssign. Graphing Tool (b) Verify the given sums Ex, Ey, Ex2, Ey?, Exy, and the value of the sample correlation coefficient r. (Round your value for r to four decimal places.) Ex = Ey [x2 Ey2 Exy (c) Find x, and y. Then find the equation of the least-squares line y = a + bx. (Round your answers to four decimal places.) * = 1 y= (d) Graph the least-squares line. Be sure to plot the point (x, y) as a point on the line. y y 55 50 45 40 35 30 25 1 X O 2 4 ~X O 2 6 24 65 50 45 40 35 35 30 30 25 25 O 2 O (e) Find the value of the coefficient of determination . What percentage of the variation in y can be explained by the corresponding variation in x and the least-squares line? What percentage is unexplained? (Round your answer for / to four decimal places. Round your answers for the percentages to two decimal place.) 2 = explained 1% unexplained 1% (f) If a team had x = 3 fouls over and above the opposing team, what does the least-squares equation forecast for y? (Round your answer to two decimal places.) %