Calculating Residuals

Front

What is a residual in statistics?

Back

A residual is the difference between the observed value and the predicted value from a regression model.

Front

How do you calculate a residual?

Back

Residual = Observed Value - Predicted Value.

Front

What does a positive residual indicate?

Back

A positive residual indicates that the observed value is above the predicted value.

Front

What does a negative residual indicate?

Back

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

Front

If the predicted value for a book with 17 chapters is 170 pages, what is the residual if the actual pages are also 170?

Back

0 pages.

Front

What is the significance of a residual of 0?

Back

A residual of 0 means the observed value matches the predicted value exactly.

Front

What does it mean if a residual is a negative number?

Back

It means the observed value is less than the predicted value.

Front

In the context of a scatter plot, what does the line of best fit represent?

Back

The line of best fit represents the predicted values based on the relationship between the variables.

Front

Back

This formula predicts the value of y based on the value of x.

Front

If the line of best fit predicts 26 pages for 3 chapters, what is the residual if the actual pages are 30?

Back

4 pages.