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 causation imply in a correlation?

Back

Causation implies that one event is the result of the occurrence of another event, meaning changes in one variable directly affect another.

Front

What is the slope of a linear model?

Back

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

Front

How can you determine if a correlation implies causation?

Back

To determine if a correlation implies causation, consider factors such as temporal precedence, the presence of a causal mechanism, and ruling out confounding variables.

Front

What is an example of a scenario that does not imply causation?

Back

The more the rooster crows, the more often it rains.

Front

What does a positive residual indicate?

Back

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

Front

What does a negative residual indicate?

Back

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

Front

What is the meaning of the slope in the context of Mr. Romario's salary?

Back

The slope indicates how much Mr. Romario spends per day.

Front

What does the line of best fit represent in a scatterplot?

Back

The line of best fit represents the trend in the data, minimizing the distance between the line and all data points.

Front

What is the significance of the y-intercept in a linear model?

Back

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