Residuals & Correlation

Front

What is a residual in statistics?

Back

A residual is the vertical distance between a data point and a line of fit, representing the difference between the observed value and the predicted value.

Front

How is a residual calculated?

Back

Residual = Actual Value - Predicted Value.

Front

What does a random pattern in a residual plot indicate?

Back

A random pattern in a residual plot indicates that the linear model is a good fit for the data.

Front

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

Back

A distinct pattern in a residual plot suggests that the linear model may not be appropriate for the data.

Front

What is the acronym for the formula Residual = Actual - Predicted?

Back

RAP.

Front

How many negative residuals are present if a residual plot shows 5 points below the line of fit?

Back

5 negative residuals.

Front

What is the significance of examining a scatter plot of residuals?

Back

Examining a scatter plot of residuals helps to assess the fit of the regression model and identify any patterns.

Front

What does it indicate if a scatter plot of residuals shows points evenly distributed around zero?

Back

It indicates that the model is appropriate and that the errors are randomly distributed.

Front

What is the purpose of a residual plot?

Back

A residual plot is used to determine the appropriateness of a regression model by visualizing the residuals.

Front

If a residual plot shows a curve, what does that imply about the model?

Back

It implies that a linear model may not be suitable, and a non-linear model might be needed.