A random sample of 10 NBA teams was selected. Their average points per game and the total number of regular season wins for the
(Note:
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
Final Answer: The regression equation for the above data is
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
Step 2 :We need to find the regression equation for the above data. The regression equation is of the form
Step 3 :The formula for the slope (b) is given by
Step 4 :First, we need to calculate
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
Step 7 :Final Answer: The regression equation for the above data is