Question

Football and Cognition

The regression line

Cognition=102.3-3.34 years

uses years playing football to predict the score on a cognition test. The following two intervals concern a person who has played football for 8 years:

Interval I:	(22.7,128.5)
Interval II:	(63.4,87.8)

(a) Find the predicted cognition score for a person who has played football for 8 years.

Round your answer to one decimal place.

Enter your answer in accordance to the question statement

Answer 1

Let we know that the model of simple linear regression is;

Where b0 = intercept parameter.

b1 = slope parameter .

In our example;

Y = Cognition test score

X =years

So,

Now put year = 8 in above equation then

Answer = Predicted cognition score for a person who has played football for a 8 years is 75.6.

Note : (from above regression model if we increased the years then cognition test score will be decreased)