Question

Ona took a random sample of 20 soccer teams across Europe. She tracked the average number of goals

Answer 1

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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