Linear Regression

Front

What letter do we use to represent the correlation coefficient in linear regression?

Back

r

Front

What is the equation of the line of best fit for the given data: y = 4.19x - 163.41?

Back

The equation of the line of best fit is y = 4.19x - 163.41.

Front

Using linear regression, how do you find the equation of best fit for starting salaries of health care workers?

Back

The equation of best fit is y = 839.721x + 27541.812.

Front

In a scatter plot showing the relationship between chapters and pages, how can you predict the number of chapters in a book with 180 pages?

Back

You can use the trend line to predict that a book with 180 pages would have 18 chapters.

Front

What is the general form of a linear regression equation?

Back

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

Front

What does the slope (m) in a linear regression equation represent?

Back

The slope represents the rate of change of the dependent variable (y) with respect to the independent variable (x).

Front

What does the y-intercept (b) in a linear regression equation indicate?

Back

The y-intercept indicates the value of y when x is 0.

Front

How do you interpret a positive correlation coefficient (r)?

Back

A positive correlation coefficient indicates that as one variable increases, the other variable also tends to increase.

Front

What does a correlation coefficient of 0 indicate?

Back

A correlation coefficient of 0 indicates no linear relationship between the two variables.

Front

What is the purpose of linear regression analysis?

Back

The purpose of linear regression analysis is to model the relationship between a dependent variable and one or more independent variables.