Regression, Residuals, r-squared

Front

What is the correlation coefficient (r)?

Back

A statistical measure that describes the strength and direction of a relationship between two variables, ranging from -1 to 1.

Front

What does an r value of 0.89 indicate?

Back

A strong positive correlation between the two variables.

Front

True or False: A scatter plot and a residual plot are the same thing.

Back

False

Front

What is a residual in regression analysis?

Back

The difference between the observed value and the predicted value from a regression model.

Front

What does a residual plot show?

Back

It displays the residuals on the vertical axis and the independent variable on the horizontal axis, helping to assess the fit of a regression model.

Front

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

Back

It indicates that a linear regression model is appropriate for the data.

Front

What is the Coefficient of Determination (r²)?

Back

A measure that explains the proportion of variance in the dependent variable that can be explained by the independent variable(s) in a regression model.

Front

What does an r² value of 0.75 mean?

Back

75% of the variance in the dependent variable can be explained by the independent variable.

Front

What does LSRL stand for?

Back

Least Squares Regression Line.

Front

What is the purpose of the Least Squares Regression Line?

Back

To minimize the sum of the squares of the residuals, providing the best fit line for the data.