Regression Practice

Front

What is the slope in a linear regression model?

Back

The slope represents the average change in the dependent variable (y) for each one-unit increase in the independent variable (x).

Front

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

Back

A positive slope indicates that as the independent variable increases, the dependent variable also increases.

Front

What does a correlation coefficient (r) of 0.694 indicate?

Back

It indicates a moderately strong positive linear relationship between the two variables.

Front

What is the least squares regression line?

Back

It is the line that minimizes the sum of the squares of the vertical distances of the points from the line.

Front

What are the units of the slope in a regression analysis?

Back

The units of the slope are the units of the dependent variable divided by the units of the independent variable (e.g., dollars/mile).

Front

What does a correlation coefficient (r) of 0 indicate?

Back

It indicates no linear relationship between the two variables.

Front

What is the equation of a least squares regression line?

Back

Front

What does a negative slope in a regression line indicate?

Back

A negative slope indicates that as the independent variable increases, the dependent variable decreases.

Front

What is the purpose of regression analysis?

Back

Regression analysis is used to understand the relationship between variables and to predict the value of a dependent variable based on the value of one or more independent variables.

Front

What does it mean if the association between two variables is described as 'weak'?

Back

It means that there is little to no linear relationship between the two variables.