# Regression: Pre-requisite Review–Question 2

#### Question 2

Would you call the relationship between attendance and grades a positive or negative relationship?

#### Positive Relationship.

Correct

This is a positive relationship. People with greater attendance tend to have higher exam scores. Larger X values are associated with larger Y values.

If we wished to predict someone’s exam score but we had no information on attendance, our best estimate would be the class mean. However, if we have information on attendance and we know the overall relationship between attendance and exam scores, we may be able to use regression to improve our prediction over and above our prediction based on knowing only the average score.

#### Negative Relationship.

Incorrect.

In a negative relationship, high scores on one variable are associated with low scores on the other variable and vica versa. For our example a negative relationship would indicated that less attendance was associated with higher grades.

A negative relationship could look like this:

#### Neither.

Incorrect.

If attendance is not related to grades then people who attended less would be just as likely to obtain high exam scores as those people who attended most of the lectures. Looking at the scores for people who attended 2 or 3 times, what would you conclude about their test scores? Do they tend to score high or low?

Now looking at those people who attended most of the lectures (11 or 12), what would you conclude about their test scores? Do they tend to score high or low?

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