reading quiz 7

Question 1

The goal of a simple linear regression is to predict (estimate) the ______________________.

Answer 1

value of Y based on a value of X

Question 2

________________ is a topic that considers the relationship between two or more variables for the purpose of prediction.

Answer 2

Regression

Question 3

The sum of the prediction errors in linear regression equals ______.

Answer 3

0

Question 4

The vertical distance between an observation on a scatter plot and the least-squares regression line represents ____________.

Answer 4

prediction error

Question 5

true or false

For any linear relationship, there is only one line that will minimize the total prediction error according to the least-squares criterion.

Answer 5

True

Question 6

The textbook uses the abbreviation ___ to denote the slope of the line for minimizing errors in predicting Y.

Answer 6

bᵧ

Question 6

When creating a scatterplot to illustrate a linear regression, the variable to be predicted should be placed on the ____ axis.

Answer 6

Y

Question 7

Much like a standard deviation quantifies the average deviation of scores around the mean, the _________________________ provides a measure of the average deviation of the prediction errors around the regression line.

Answer 7

standard error of estimate

Question 8

The least-squares regression line is the prediction line that ________ according to the least-squares criterion.

Answer 8

minimizes the total error of prediction

Question 9

true or false

You calculate the equation for a least-squares regression line using values of X that range from 0 to 100. Based on this information, is the following statement true or false?

It is permissible to use the least-squares equation to estimate Y based on a value of X equal to 150.

Answer 9

False