Residuals & Causation

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

What does a negative correlation indicate?

Back

A negative correlation indicates that as one variable increases, the other variable tends to decrease.

Front

What is the meaning of the slope in a linear model?

Back

The slope represents the rate of change of the dependent variable with respect to the independent variable.

Front

What does the y-intercept represent in a linear regression?

Back

The y-intercept represents the value of the dependent variable when the independent variable is zero.

Front

How do you calculate a residual?

Back

Residual = Observed value - Predicted value.

Front

What does it mean if a residual is positive?

Back

A positive residual indicates that the observed value is greater than the predicted value.

Front

What does it mean if a residual is negative?

Back

A negative residual indicates that the observed value is less than the predicted value.

Front

What is the purpose of a scatterplot?

Back

A scatterplot is used to visualize the relationship between two quantitative variables.

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 scatterplot.

Front

What does it mean if the slope of a line is zero?

Back

A slope of zero indicates that there is no change in the dependent variable as the independent variable changes.