Deck 11: Regression Analysis

Question 1

In regression analysis:

A)the independent variable must be categorical in nature.
B)the variables being investigated must not be correlated.
C)the independent variable is indisputably influenced by the dependent variable.
D)one variable is believed to be influenced by the other.

Answer 1

one variable is believed to be influenced by the other.

Question 2

If r = .84, the coefficient of determination is equal to:

A).29
B).50
C).71
D).8 4

Answer 2

.71

Question 3

When the points in a scatter plot cluster closely around the regression line, the correlation Can be said to be:

A)weak.
B)strong.
C)neutral.
D)negat ive.

Answer 3

strong.

Question 4

The coefficient of determination explains:

A)the proportion of variance in Y that is determined or explained by X.
B)the proportion of variance in Y that is NOT determined or explained by X.
C)the proportion of variance in Y that is attributed to error.
D )the proportion of variance in X that is attributed to error.

Question 5

If a = 8 and b = 3, what would be the predicted outcome (Ŷ) for a person with X = 6?

A)19..
B)26.
C)30.
D)51 .

Question 6

Which of the following is NOT a component of the regression equation?

A)Y-intercept
B)slope
C)error
D)st andard deviation

Question 7

In regression analysis, Y is generally considered the __________ variable.

Question 8

The mathematical equation for a regression line is typically written:

A)
B)
C)
D)

Question 9

If the regression line is drawn accurately, the location where it crosses the Y axis is known As:

A)the Y-intercept.
B)the slope.
C)the X-intercept.
D)t he pivot point.

Question 10

If a = 3 and b = 5, a person scoring X = 8 would be predicted to have a Ŷ score of:

A)23.
B)29.
C)34.
D)43 .

Question 11

=

A)Poisson's r
B)Pearson's r
C)Cramer's V
D)Go odman's gamma

Question 12

Regression analysis creates a mathematical function which predicts the value of the __________ on the basis of the __________.

A)independent variable; dependent variable
B)dependent variable; independent variable
C)correlation; variance
D)varia nce; correlation

Question 13

The square of Pearson's r (r2) is known as the:

A)square root.
B)coefficinet of nondetermination.
C)coefficient of determination.
D)sl ope.

Question 14

The coefficient of non-determination explains:

A)the proportion of variance in Y that is determined or explained by X.
B)the proportion of variance in Y that is NOT determined or explained by X.
C)the proportion of variance in Y that is attributed to error.
D )the proportion of variance in X that is attributed to error.

Question 15

The difference between the observed points and the regression line points is equal to:

A)the correlation.
B)the slope.
C)the error term.
D )the Y-intercept.

Question 16

.37, the coefficient of non-determination is equal to:

A).92
B).14
C).63
D).8 6

Question 17

In a regression equation, the slope accounts for:

A)the amount of change in Y for each unit change in X.
B)the amount of change in X for each unit change in Y.
C)the error.
D )the point where the regression line crosses the Y-axis when X = 0.

Question 18

In a regression equation, b refers to:

A)the slope.
B)
C)a and b
D)none of the above

Question 19

The variable being predicted in a regression analysis is called the:

A)independent variable.
B)dependent variable.
C)regression variable.
D)cont ingency variable.

Question 20

Which of the following is NOT a requirement for regression analysis?

A)interval data
B)straight line relationship
C)random sampling
D)All of the above ARE requirements.

Question 21

Regression generally assumes a __________ line relationship

Question 22

An underlying assumption of regression is that both variables are measured at the __________ level.

Question 23

The question below refers to the following situation:
The table below contains the Earned Run Averages (ERA) and team victories for the American Baseball League during a recent season. ERA is the number of earned runs (runs resulting from the other team hitting the ball, not because of errors in the field) a team gives up per 9 innings. The lower the ERA, the better for the team. A low ERA is usually an indication of good pitching, good defense, or both. Given the data below:
Make a prediction for the number of wins a team would have with an ERA of 4.50.

Question 24

To test the significance of the regression line, one must assume __________for both variables or else have a large sample.

Question 25

The question below refers to the following situation:
The table below contains the Earned Run Averages (ERA) and team victories for the American Baseball League during a recent season. ERA is the number of earned runs (runs resulting from the other team hitting the ball, not because of errors in the field) a team gives up per 9 innings. The lower the ERA, the better for the team. A low ERA is usually an indication of good pitching, good defense, or both. Given the data below:
What is the slope of the regression line?

Question 26

The __________ quantity of the coefficient of determination is the coefficient of nondetermination.

Question 27

The question below refers to the following situation:
A researcher is interested in the relationship between age and the number of hours spent per week playing video games. Her data are as follows:
Calculate the coefficient of determination.

Question 28

The question below refers to the following situation:
A researcher is interested in the relationship between age and the number of hours spent per week playing video games. Her data are as follows:
If someone is 15 years old, how many hours spent per week playing video games does the equation predict?

Question 29

The question below refers to the following situation:
The table below contains the Earned Run Averages (ERA) and team victories for the American Baseball League during a recent season. ERA is the number of earned runs (runs resulting from the other team hitting the ball, not because of errors in the field) a team gives up per 9 innings. The lower the ERA, the better for the team. A low ERA is usually an indication of good pitching, good defense, or both. Given the data below:
What is the Y-intercept?

Question 30

The question below refers to the following situation:
A researcher is interested in the relationship between age and the number of hours spent per week playing video games. Her data are as follows:
What is the Y-intercept?

Question 31

The question below refers to the following situation:
The table below contains the Earned Run Averages (ERA) and team victories for the American Baseball League during a recent season. ERA is the number of earned runs (runs resulting from the other team hitting the ball, not because of errors in the field) a team gives up per 9 innings. The lower the ERA, the better for the team. A low ERA is usually an indication of good pitching, good defense, or both. Given the data below:
Calculate and interpret the coefficient of non-determination.

Question 32

The question below refers to the following situation:
The table below contains the Earned Run Averages (ERA) and team victories for the American Baseball League during a recent season. ERA is the number of earned runs (runs resulting from the other team hitting the ball, not because of errors in the field) a team gives up per 9 innings. The lower the ERA, the better for the team. A low ERA is usually an indication of good pitching, good defense, or both. Given the data below:
Calculate the correlation coefficient.

Question 33

The caret symbol
above the Y in the regression equation means __________.

Question 34

If the coefficient of determination = .8, then the coefficient of nondetermination =__________.

Question 35

__________ equations are frequently used to project the impact of the independent variable (X) beyond its range in the sample.

Question 36

In the regression equation, the symbol for the slope is __________.

Question 37

The question below refers to the following situation:
The table below contains the Earned Run Averages (ERA) and team victories for the American Baseball League during a recent season. ERA is the number of earned runs (runs resulting from the other team hitting the ball, not because of errors in the field) a team gives up per 9 innings. The lower the ERA, the better for the team. A low ERA is usually an indication of good pitching, good defense, or both. Given the data below:
Calculate and interpret the coefficient of determination.

Question 38

The question below refers to the following situation:
A researcher is interested in the relationship between age and the number of hours spent per week playing video games. Her data are as follows:
Calculate the regression line.

Question 39

Sample members must be chosen __________ to employ tests of significance.