Residual

Front

What is a residual in statistics?

Back

The difference between the observed response and the values predicted by the model.

Tags

CCSS.HSS.ID.B.6B

Front

As study time increases, what happens to errors?

Back

Errors decrease.

Front

What does a negative residual indicate?

Back

The observed value is less than the predicted value.

Tags

CCSS.HSS.ID.B.6B

Front

What is the y-intercept in a prediction equation?

Back

The value of the response variable when the predictor variable is zero.

Tags

CCSS.HSF.LE.B.5

Front

How can you determine if a linear regression model is appropriate for a dataset?

Back

By analyzing the residual plot for patterns; if there are patterns, a linear model may not be appropriate.

Front

What does a residual plot show?

Back

The residuals on the vertical axis and the independent variable on the horizontal axis.

Tags

CCSS.HSS.ID.B.6B

Front

What does it mean if residuals are randomly scattered around zero?

Back

It suggests that a linear model is a good fit for the data.

Tags

CCSS.HSS.ID.B.6B

Front

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

Back

It represents the change in the response variable for a one-unit change in the predictor variable.

Tags

CCSS.8.SP.A.3

Front

What is the formula for calculating a residual?

Back

Residual = Observed value - Predicted value.

Tags

CCSS.HSS.ID.B.6B

Front

What does it indicate if a residual plot shows a curve?

Back

It suggests that a linear model may not be appropriate and a non-linear model might be needed.