Calculating Residuals

Front

What is a residual?

Back

A residual is the difference between what really happened and what was expected to happen.

Tags

CCSS.HSS.ID.B.6B

Front

How is a residual defined in relation to data points and lines of fit?

Back

A residual is the vertical distance between a data point and a line of fit.

Tags

CCSS.HSS.ID.B.6B

Front

What is the sign of a residual when a value is below expected?

Back

A negative number.

Tags

CCSS.HSS.ID.B.6B

Front

Calculate the residual if I predicted someone would lose 14 lbs, but they actually lost 12 lbs.

Back

12 - 14 = -2.

Front

What is the sign of a residual when a value is above expected?

Back

A positive number.

Tags

CCSS.HSS.ID.B.6B

Front

If the predicted value is 10 and the actual value is 8, what is the residual?

Back

8 - 10 = -2.

Tags

CCSS.HSS.ID.B.6B

Front

If the predicted value is 5 and the actual value is 7, what is the residual?

Back

7 - 5 = 2.

Tags

CCSS.HSS.ID.B.6B

Front

What does a positive residual indicate about the actual value compared to the predicted value?

Back

The actual value is greater than the predicted value.

Tags

CCSS.HSS.ID.B.6B

Front

What does a negative residual indicate about the actual value compared to the predicted value?

Back

The actual value is less than the predicted value.

Front

In a regression analysis, what does a residual plot help to identify?

Back

It helps to identify patterns in the residuals, indicating the fit of the model.

Tags

CCSS.HSS.ID.B.6B