Linear Regression & Scatterplots

Front

What is linear regression?

Back

A statistical method used to model the relationship between a dependent variable and one or more independent variables.

Front

What does a scatterplot represent?

Back

A graphical representation of the relationship between two quantitative variables.

Front

What does a strong positive correlation indicate?

Back

As one variable increases, the other variable also increases significantly.

Front

What does a weak negative correlation indicate?

Back

As one variable increases, the other variable decreases slightly.

Front

What is the correlation coefficient range?

Back

The correlation coefficient ranges from -1 to 1.

Front

What does a correlation coefficient of 0 mean?

Back

It indicates no correlation between the two variables.

Front

What is the slope in a linear regression equation?

Back

The slope indicates the rate of change of the dependent variable for each unit change in the independent variable.

Front

How do you interpret the y-intercept in a linear regression equation?

Back

The y-intercept is the value of the dependent variable when the independent variable is zero.

Front

What is the purpose of a trend line in a scatterplot?

Back

To summarize the relationship between the variables and make predictions.

Front

How can you use a trend line to make predictions?

Back

By extending the trend line to estimate the value of the dependent variable for a given independent variable.