Linear Regression & Scatterplots

Front

What is 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 is a Scatterplot?

Back

A graphical representation of two variables where each point represents an observation in the dataset, used to visualize the relationship between the variables.

Front

What does the slope of a linear regression line represent?

Back

The slope indicates the change in the dependent variable for each one-unit change in the independent variable.

Front

What is the y-intercept in a linear regression equation?

Back

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

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 1 indicate?

Back

A perfect positive linear relationship between the two variables.

Front

What does an r value of -1 indicate?

Back

A perfect negative linear relationship between the two variables.

Front

What does an r value of 0 indicate?

Back

No linear relationship between the two variables.

Front

How do you interpret a positive slope in a linear regression?

Back

As the independent variable increases, the dependent variable also increases.

Front

How do you interpret a negative slope in a linear regression?

Back

As the independent variable increases, the dependent variable decreases.