Scatterplots, Linear Regression, and Residuals

Front

What is a scatterplot?

Back

A scatterplot is a graphical representation of two variables, showing the relationship between them using points on a Cartesian plane.

Front

What does a positive correlation in a scatterplot indicate?

Back

A positive correlation indicates that as one variable increases, the other variable also tends to increase.

Front

What does a negative correlation in a scatterplot indicate?

Back

A negative correlation indicates that as one variable increases, the other variable tends to decrease.

Front

What does no correlation in a scatterplot indicate?

Back

No correlation indicates that there is no discernible relationship between the two variables.

Front

How do you calculate a residual?

Back

Residual = Actual value - Predicted value.

Front

What does a residual plot show?

Back

A residual plot shows the residuals on the vertical axis and the independent variable on the horizontal axis, helping to assess the fit of a regression model.

Front

What does it mean if a residual plot has no pattern?

Back

If a residual plot has no pattern, it suggests that the linear regression model is a good fit for the data.

Front

What does it mean if a residual plot shows a pattern?

Back

If a residual plot shows a pattern, it indicates that the linear regression model may not be appropriate for the data.

Front

What is linear regression?

Back

Linear regression is a statistical method used to model the relationship between a dependent variable and one or more independent variables by fitting a linear equation to observed data.

Front

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

Back

A trend line is used to summarize the relationship between the variables and can be used to make predictions.