Linear Regressions

Front

What is the formula for linear regression?

Back

y = mx + b

Front

What letter do we use to represent the correlation coefficient?

Back

r

Front

Estimate the correlation coefficient for a scatterplot with a strong negative trend.

Back

r = -0.9

Front

Use the linear regression equation y = 61.93x - 1.79 to predict the distance traveled after 10 hours of driving.

Back

617.5 miles

Front

What does the y-intercept mean in the context of a linear regression equation?

Back

If a person has been to college for 0 years, they type at 117.8 words per minute.

Front

What is the purpose of linear regression?

Back

To model the relationship between a dependent variable and one or more independent variables.

Front

What does the slope (m) represent in the linear regression equation y = mx + b?

Back

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

Front

What is a scatterplot?

Back

A graphical representation of the relationship between two quantitative variables.

Front

What does a correlation coefficient of r = 1 indicate?

Back

A perfect positive linear relationship between two variables.

Front

What does a correlation coefficient of r = -1 indicate?

Back

A perfect negative linear relationship between two variables.