Description

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.x0456y48453326

GIVEN: ?x = 15, ?y = 152, ?x2 = 77, ?y2 = 6094, ? xy = 501 Calculate the correlation coefficient, . (round answer to four decimal places)Find: = = b = (round answer to three decimal places)

a = (round to two decimal places)

State the regression equation: = + xUsing your regression equation predict for the lowest value of x and then for the highest value of x.Prediction for lowest value of x: Prediction for highest value of x: Plot those points on your initial graph and connect to indicate best fitting line (use next problem to post your graph with the best fitting line).

Calculate = (round answer to four decimal places)

Interpret Coefficient of determination ( ) (use wording on formula sheet provided to correctly state – i.e. in context of the problem – not “x” and “y” – but actual variables). % of the variation in can be explained by the variation in and the least squares line.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.)

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