Ona took a random sample of 20 soccer teams across Europe. She tracked the average number of goals
each team scored per match and how many total matches each team won in the 2014 - 2015 season. Ona
noticed a moderately strong linear relationship in the sample. Here is computer output from a least-squares
regression analysis for predicting total wins from a team's average goals per match:

Ona took a random sample of 20 soccer teams across Europe She tracked the average number of goals each team scored per match and how many total matches each tea class=

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The predicted number of wins for a team that averages 1.5 goals per game will be 17 according to the regression model.

From the table given, the linear regression model for the data can be expressed as :

  • y = 14.02x - 3.64 ; where ;
  • y = Predicted number of wins ;
  • x = average number of goals per match ;
  • slope = 14.02 ;
  • Intercept = - 3.64

The Number of wins for a team which averages 1.5 goals per match can be calculated thus :

Average goals per match, x = 1.5

Substitute x = 1.5 into the equation :

y = 14.02(1.5) - 3.64

y = 17.39

y = 17 (nearest whole number)

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