Linear Regressions and Scatterplots

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

Back

Front

How do you interpret the slope in a linear regression equation?

Back

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

Front

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

Back

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

Front

What is a scatterplot?

Back

A scatterplot is a graphical representation of two variables, showing the relationship between them using points on a Cartesian plane.

Front

How can you identify a linear relationship in a scatterplot?

Back

A linear relationship can be identified if the points in the scatterplot tend to cluster around a straight line.

Front

What is the line of best fit?

Back

The line of best fit is a straight line that best represents the data on a scatterplot, minimizing the distance between the line and all data points.

Front

What is the purpose of using linear regression?

Back

Linear regression is used to predict the value of a dependent variable based on the value(s) of one or more independent variables.

Front

What does it mean if the correlation coefficient is close to 1 or -1?

Back

A correlation coefficient close to 1 indicates a strong positive linear relationship, while a coefficient close to -1 indicates a strong negative linear relationship.

Front

How do you calculate the predicted value using a linear regression equation?

Back

Substitute the value of the independent variable into the regression equation to find the corresponding predicted value of the dependent variable.