Line of Best Fit, Predictions and Residuals

Front

What is a Line of Best Fit?

Back

A Line of Best Fit is a straight line that best represents the data on a scatter plot, showing the trend of the data points.

Front

What does a residual represent in a linear model?

Back

A residual is the difference between the actual value and the predicted value from a linear model.

Front

How do you calculate a residual?

Back

Residual = Actual Value - Predicted Value.

Front

What does it mean if a residual is positive?

Back

A positive residual indicates that the actual value is greater than the predicted value, suggesting an underestimate.

Front

What does it mean if a residual is negative?

Back

A negative residual indicates that the actual value is less than the predicted value, suggesting an overestimate.

Front

What is a residual plot?

Back

A residual plot is a graph that shows the residuals on the vertical axis and the independent variable on the horizontal axis, used to assess the fit of a model.

Front

What indicates a good linear fit in a residual plot?

Back

A good linear fit is indicated by residuals that are randomly scattered around zero without any discernible pattern.

Front

What indicates a poor linear fit in a residual plot?

Back

A poor linear fit is indicated by residuals that show a pattern or are not evenly scattered around zero.

Front

What is the purpose of the Line of Best Fit in predictions?

Back

The Line of Best Fit is used to make predictions about the dependent variable based on the independent variable.

Front

How do you interpret a residual of 0?

Back

A residual of 0 means that the predicted value is exactly equal to the actual value, indicating a perfect fit.