linear regression

Front

What does the y-intercept of the equation y = 10 + 3x represent?

Back

The monthly fee.

Front

What is the correlation coefficient for a strong positive relationship?

Back

r = 0.89.

Front

Describe the correlation if the points in a scatterplot trend downward from left to right.

Back

Strong Negative.

Front

What is the expected correlation between study time and test grades?

Back

Positive.

Front

What does the correlation coefficient measure?

Back

The strength of the linear relationship between two quantitative variables.

Front

What is linear regression?

Back

A statistical method used to model the relationship between a dependent variable and one or more independent variables.

Front

What does a positive slope in a linear regression indicate?

Back

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

Front

What does a negative slope in a linear regression indicate?

Back

As the independent variable increases, the dependent variable decreases.

Front

What is the formula for a simple linear regression?

Back

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

Front

What is the purpose of the least squares method in linear regression?

Back

To minimize the sum of the squares of the residuals (the differences between observed and predicted values).