Question

Positive, Negative, or zero. Suppose you are looking at three separate relationships that are modeled by linear functions. One linear model has a positive slope, one has a negative slope, and one has a slope of zero. What do these slopes tell you about the relationships they model? Find practical examples of each of the three.

Answer 1

In a positive correlation, both variables move in the same direction. In other words, as one variable increases, so does the other. where linear model has a positive slope .

For example, there is a positive correlation between smoking and alcohol use.

When two variables have a negative correlation, they have an inverse relationship. i.e. one variable increases then other variable decreases.where linear model has a negative slope.

For example,School achievement and days absent from school: people who miss more days of school tend to have lower GPAs.

A zero correlation exists when there is no relationship between two variables.

For example -their is no relationship between the amount of tea drunk and level of intelligence. A correlation can be expressed visually.

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