Linear Regressions

Front

What is a linear regression?

Back

A statistical method used to model the relationship between a dependent variable and one or more independent variables by fitting a linear equation to observed data.

Front

What does the correlation coefficient (r) indicate?

Back

It measures the strength and direction of a linear relationship between two variables, ranging from -1 to 1.

Front

What does a correlation coefficient of 0.9 mean?

Back

It indicates a strong positive correlation between the two variables.

Front

What does a negative slope in a linear regression indicate?

Back

It indicates that as the independent variable increases, the dependent variable decreases.

Front

How do you interpret a slope of -1.4 in a linear regression context?

Back

For every year passed, the dependent variable decreases by 1.4 units.

Front

What is the formula for a linear regression line?

Back

y = mx + b, where m is the slope and b is the y-intercept.

Front

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

Back

It represents the value of the dependent variable when the independent variable is zero.

Front

How can you predict values using a linear regression equation?

Back

By substituting the value of the independent variable into the regression equation.

Front

What does a correlation coefficient of 0 indicate?

Back

It indicates no correlation between the two variables.

Front

What is the significance of a correlation coefficient of -0.9?

Back

It indicates a strong negative correlation between the two variables.