Linear Regression & Scatterplots

Front

What is Linear Regression?

Back

Linear Regression is 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 Scatterplot is a graphical representation of two quantitative variables, where each point represents an observation in the dataset.

Front

What does the slope in a linear regression equation represent?

Back

The slope indicates the rate of change of the dependent variable for each unit change in the independent variable.

Front

What is the equation of a line in slope-intercept form?

Back

The equation of a line in slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the Coefficient of Correlation?

Back

The Coefficient of Correlation (r) measures the strength and direction of a linear relationship between two variables, ranging from -1 to +1.

Front

What does an r value of 1 indicate?

Back

An r value of 1 indicates a perfect positive linear relationship between the two variables.

Front

What does an r value of -1 indicate?

Back

An r value of -1 indicates a perfect negative linear relationship between the two variables.

Front

What does an r value of 0 indicate?

Back

An r value of 0 indicates no linear relationship between the two variables.

Front

How do you interpret 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 purpose of the line of best fit?

Back

The line of best fit minimizes the distance between the data points and the line, providing the best approximation of the relationship between the variables.