The National Football League has performed a study in which the total yards gained by teams in games was used as an independent variable to explain the variation in total points scored by teams during games.The points scored ranged from 0 to 57 and the yards gained ranged from 187 to 569.The following regression model was determined: = 12.3 + .12x. Given this model,which of the following statements is true?
A)The average points scored for teams who gain zero yards during a game is -12.3 points.
B)The average yards gained will increase by .12 for every additional point scored.
C)The average change in points scored for each increase of one yard will be 0.12.
D)The average number of points scored per game is 12.3.

Question

The National Football League has performed a study in which the total yards gained by teams in games was used as an independent variable to explain the variation in total points scored by teams during games.The points scored ranged from 0 to 57 and the yards gained ranged from 187 to 569.The following regression model was determined:  = 12.3 + .12x. Given this model,which of the following statements is true?
A)The average points scored for teams who gain zero yards during a game is -12.3 points. 
B)The average yards gained will increase by .12 for every additional point scored. 
C)The average change in points scored for each increase of one yard will be 0.12. 
D)The average number of points scored per game is 12.3.

Quizplus · Accepted Answer

Based on the regression model, the coefficient for the independent variable (yards gained) is 0.12, which means that for each increase of one yard, there will be an average increase of 0.12 points scored. Therefore, statement C is true. Statements A, B, and D are all incorrect.

The National Football League Has Performed a Study in Which