Linear Regression

Front

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

Back

r

Tags

CCSS.HSS.ID.C.8

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.

Tags

CCSS.8.EE.B.5

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).

Tags

CCSS.8.EE.B.5

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.

Tags

CCSS.HSF.LE.B.5

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.

Tags

CCSS.HSS.ID.B.5

Front

What does a correlation coefficient of 0 indicate?

Back

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

Tags

CCSS.HSS.ID.B.5

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.