Problem

A random sample of 10 NBA teams was selected. Their average points per game and the total number of regular season wins for the 2018/19 season were recorded. The results are listed in the table below.
Unknown environment 'tabular'
(Note: xy=47,799.1 )
a) Find the regression equation for the above data. Round in such a way that prediction made from this equation will be reliable to at least 1 decimal place.
b) Use the equation to predict the average number of wins for an NBA team that average 113 points per game. Round your answer to 1 decimal place.
c) Find r&r2

Answer

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Answer

Final Answer: The regression equation for the above data is y=2.48x233.88.

Steps

Step 1 :We are given a random sample of 10 NBA teams with their average points per game (X) and the total number of regular season wins (y) for the 2018/19 season. We are also given that the sum of the product of X and y, denoted as xy, is 47799.1.

Step 2 :We need to find the regression equation for the above data. The regression equation is of the form y=bx+a, where b is the slope and a is the y-intercept.

Step 3 :The formula for the slope (b) is given by b=n(xy)(x)(y)n(x2)(x)2 and the formula for the y-intercept (a) is given by a=yb(x)n

Step 4 :First, we need to calculate x, y, and x2 from the given data. After calculating, we get x=1114.4, y=425, and x2=124364.98.

Step 5 :Substituting these values into the formulas, we get the slope (b) as approximately 2.48 and the y-intercept (a) as approximately -233.88.

Step 6 :Therefore, the regression equation is y=2.48x233.88

Step 7 :Final Answer: The regression equation for the above data is y=2.48x233.88.

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