Scatterplots & Residuals Review

Front

What is a residual in the context of regression analysis?

Back

A residual is the difference between the observed value and the predicted value from a regression model, calculated as: Residual = Observed - Predicted.

Front

How do you calculate a residual?

Back

Residual = Observed - Predicted.

Front

What does extrapolation mean in statistics?

Back

Extrapolation is the use of a regression line to predict values outside the interval of values used to obtain the line.

Front

What is the response variable in a study of GPA and study time?

Back

The response variable is the Student's GPA.

Front

What does a negative residual indicate?

Back

A negative residual indicates that the observed value is below the predicted value.

Front

What is the formula for a regression line?

Back

Front

What is the significance of the slope in a regression line?

Back

The slope indicates the change in the response variable for a one-unit change in the predictor variable.

Front

What is the purpose of a scatterplot?

Back

A scatterplot visually represents the relationship between two quantitative variables, showing how one variable may affect another.

Front

What does it mean if points on a scatterplot are closely clustered around a regression line?

Back

It indicates a strong correlation between the two variables.

Front

What is the difference between interpolation and extrapolation?

Back

Interpolation is predicting values within the range of the data, while extrapolation is predicting values outside that range.