Deck 15: Consumerism and Complementary and Alternative Medicine

Question 1

A _________ describes the difference between the actual and predicted values of a dependent variable.

A)variance
B)dummy variable
C)residual
D)correlation

Answer 1

residual

Question 2

The degrees of freedom for the critical value to test the significance of the regression coefficients using α = 0.05 are _______.

A)18
B)17
C)15
D)20

Answer 2

20

Question 3

The sum of squares error for this regression model is ______.

A)50,972,400,000.0
B)14,263,134,094.3
C)36,709,265,906.7
D)12,236,421,969.1

Answer 3

14,263,134,094.3

Question 4

Predict the number of wins for a team with the following data: Field goal percentage = 46.2% Three- point percentage = 36.0%
Free throw percentage = 74.5%
Turnovers per game = 14.4
Rebounds per game = 43.7
Assists per game = 20.9
Steals per game = 7.0

A)49.7
B)42.0
C)55.1
D)58.3

Question 5

An employee with a bachelor's degree will average ______ more cars sales per month than an employee with a high school degree.

A)0.4207
B)2.5638
C)2.9845
D)1.3553

Question 6

When using best subsets regression with a model that has four independent variables, a total of ________ different combinations of regression models will be considered.

A)18
B)15
C)4
D)12

Question 7

The test statistic for testing the significance of the ED2 variable is ______ .

A)2.40
B)2.26
C)2.69
D)1.83

Question 8

The presence of multicollinearity can be detected in a regression model using the ______.

A)variance inflation factor
B)coefficient of determination
C)standard error of the regression coefficient
D)adjusted coefficient of determination

Question 9

A _______ predicts the change in a dependent variable due to a one- unit increase in an independent variable while holding other variables constant.

A)residual
B)coefficient of determination
C)regression coefficient
D)correlation coefficient

Question 10

The 95% confidence interval for the regression coefficient for the Age variable is _______.

A)(- 5,186, 4,025)
B)(- 2,580, 1,419)
C)(- 3,181, 2,019)
D)(- 181, - 981)

Question 11

Which one of the following statements is true concerning the 95% confidence interval for the regression coefficient for the Living Area variable?

A)Because the confidence interval does not include zero, we have evidence to conclude that there is a relationship between the living area of a house and the selling price of the house.
B)Because the confidence interval does not include zero, we have evidence to conclude that there is no relationship between the living area of a house and the selling price of the house.
C)Because the confidence interval includes zero, we have evidence to conclude that there is no relationship between the living area of a house and the selling price of the house.
D)Because the confidence interval includes zero, we have evidence to conclude that there is a relationship between the living area of a house and the selling price of the house.

Question 12

Every additional penalty per game will ___________

A)increase the average number of wins per season by 1.5572
B)decrease the average number of wins per season by 0.2938
C)decrease the average number of wins per season by 1.5572
D)increase the average number of wins per season by 0.2938

Question 13

The __________ measures the variation in the dependent variable that is explained by the set of independent variables in multiple regression.

A)sum of squares regression
B)sum of squares within
C)sum of squares error
D)total sum of squares

Question 14

An employee with an associate's degree will average _______ more cars sales per month than an employee with a high school degree.

A)2.9845
B)0.4207
C)1.3553
D)2.5638

Question 15

The mean square regression for this model is ______.

A)17.49
B)196.26
C)65.42
D)3.74

Question 16

The test statistic for testing the significance of the Exp variable is _______.

A)2.33
B)2.60
C)1.91
D)2.51

Question 17

Which one of the following statements describes the results of the hypothesis test for the overall regression model using α = 0.05?

A)Because the test statistic is less than the critical value, we reject the null hypothesis and conclude that there is no relationship between the dependent variable and the independent variables.
B)Because the test statistic is less than the critical value, we fail to reject the null hypothesis and conclude that there is no relationship between the dependent variable and the independent variables.
C)Because the test statistic is greater than the critical value, we reject the null hypothesis and conclude that there is a relationship between the dependent variable and the independent variables.
D)Because the test statistic is greater than the critical value, we fail to reject the null hypothesis and conclude that there is a relationship between the dependent variable and the independent variables.

Question 18

The critical value to test the significance of the regression coefficients using α = 0.05 is _______.

A)2.080
B)2.086
C)2.201
D)2.179

Question 19

The test statistic for testing the significance of the ED1 variable is _______

A)2.54
B)2.01
C)2.20
D)1.75

Question 20

________ is present in the regression model when independent variables within the model are highly correlated.

A)Significance
B)Correlation
C)Homoscedasticity
D)Multicollinearity

Question 21

The multiple coefficient of determination for this model is ______.

A)0.6521
B)0.6019
C)0.8075
D)0.6148

Question 22

The degrees of freedom for the sum of squares error are ________.

A)5
B)3
C)11
D)14

Question 23

The 95% confidence interval for the regression coefficient for the Living Area variable is ______ .

A)(26, 148)
B)(- 63, 237)
C)(- 23, 197)
D)(60, 114)

Question 24

Which of the following groups of independent variables is significant in this model using α = 0.05?

A)PEN, TO
B)PPG, TO
C)PEN, PPG, TO
D)PEN, PPG

Question 25

The 95% confidence interval for the regression coefficient for the PPG variable is ________.

A)(0.167, 0.537)
B)(- 0.398, 1.102)
C)(0.098, 0.606)
D)(- 0.118, 0.822)

Question 26

The test statistic for testing the significance of the Age variable is _______.

A)- 0.278
B)- 0.144
C)- 0.086
D)- 1.37

Question 27

The critical value to test the significance of the regression coefficients using α = 0.05 is _______.

A)1.945
B)1.831
C)2.048
D)2.201

Question 28

Which group of independent variables is significant in this model using α = 0.05?

A)Age, Living Area
B)Age, Bedrooms
C)Living Area, Bedrooms
D)Age, Living Area, Bedrooms

Question 29

The multiple coefficient of determination for this model is ______.

A)0.7796
B)0.8163
C)0.6644
D)0.9035

Question 30

Every additional point per game will ____________.

A)increase the average number of wins per season by 0.3523
B)decrease the average number of wins per season by 1.5572
C)increase the average number of wins per season by 1.5572
D)decrease the average number of wins per season by 0.3523

Question 31

The predicted number of wins in a season for a team that averages 7.0 penalties per game, averages 20.0 points per game, and has a turnover differential of - 5 is _____.

A)8.10
B)6.39
C)9.44
D)5.86

Question 32

Which one of the following statements describes the results of the hypothesis test for the overall regression model using α = 0.05?

A)Because the p- value is greater than alpha, we reject the null hypothesis and conclude that there is a relationship between the dependent variable and the independent variables.
B)Because the p- value is less than alpha, we fail to reject the null hypothesis and conclude that there is no relationship between the dependent variable and the independent variables.
C)Because the p- value is greater than alpha, we fail to reject the null hypothesis and conclude that there is no relationship between the dependent variable and the independent variables.
D)Because the p- value is less than alpha, we reject the null hypothesis and conclude that there is a relationship between the dependent variable and the independent variables.

Question 33

The mean square regression for this model is _______.

A)66.90
B)267.61
C)60.23
D)3.01

Question 34

The degrees of freedom for the sum of squares regression are ______.

A)11
B)14
C)3
D)5

Question 35

The mean square error for this model is _____.

A)1,296,648,554
B)36,709,265,906
C)14,263,134,094
D)12,236,421,969

Question 36

The reason that none of the remaining independent variables were included in the model is that _____.

A)multicollinearity would be present in the model if any of these remaining variables were included
B)general stepwise regression is limited to three independent variables in the final model
C)the regression coefficients for any of the remaining independent variables would have a p- value greater than 0.05
D)the regression coefficients for any of the remaining independent variables would have a

Question 37

______regression brings one independent variable at a time into a regression model based on its p- value. The "p- value to enter" and "p- value to remove" values determine the threshold for independent variables joining and leaving the regression model, respectively.

A)Best subsets
B)Backward elimination
C)Forward selection
D)General stepwise

Question 38

The National Basketball Association (NBA)would like to develop a multiple regression model that would predict the number of wins for a team during the season. The following independent variables were considered for the model: field goal percentage (X1), free throw percentage (X2), turnovers per game (X3), rebounds per game (X4), and steals per game (X5). The following regression model was chosen using a data set of team statistics:
$$\hat { y }$$ = - 276.8949 + 6.0284x₁ - 6.8230x₃ + 3.348x₄
The first team from the data set had the following values:
Wins = 56
Field goal percentage = 48.6%
Free throw percentage = 77.0%
Turnovers per game = 14.6
Rebounds per game = 38.8
Steals per game = 8.2
The residual for this team is _.

A)9.6
B)- 3.1
C)7.0
D)- 5.2

Question 39

Which one of the following statements is true concerning the 95% confidence interval for the regression coefficient for the Age variable?

A)Because the confidence interval does not include zero, we have evidence to conclude that there is no relationship between the age of a house and the selling price of the house.
B)Because the confidence interval includes zero, we have evidence to conclude that there is no relationship between the age of a house and the selling price of the house.
C)Because the confidence interval includes zero, we have evidence to conclude that there is a relationship between the age of a house and the selling price of the house.
D)Because the confidence interval does not include zero, we have evidence to conclude that there is a relationship between the age of a house and the selling price of the house.

Question 40

The 95% confidence interval for the average number of wins per season for teams that average 6.0 penalties per game, average 24.0 points per game, and has a turnover differential of +7 is _______.

A)(8.31, 10.10)
B)(3.44, 14.98)
C)(5.65, 12.77)
D)(8.98, 9.44)

Question 41

The test statistic for testing the significance of the TO variable is ________.

A)5.56
B)1.89
C)3.46
D)1.07

Question 42

The test statistic for testing the significance of the PPG variable is _______.

A)3.90
B)0.40
C)4.60
D)5.19

Question 43

The ________ measures the total variation in the dependent variable in multiple regression.

A)total sum of squares
B)sum of squares regression
C)sum of squares error
D)sum of squares within

Question 44

The predicted number of cars sold in a month for an employee with five years of sales experience, a base salary of $550, and an associate's degree is ________.

A)12.4
B)11.3
C)13.6
D)12.0

Question 45

The sum of squares regression for this regression model is _______.

A)196.26
B)17.49
C)104.71
D)65.42

Question 46

The _________ measures the variation in the dependent variable that is explained by variables other than the set of independent variables in multiple regression.

A)total sum of squares
B)sum of squares within
C)sum of squares regression
D)sum of squares error

Question 47

The F- test statistic for the overall regression model is ______.

A)3.47
B)2.73
C)25.60
D)22.22

Question 48

Every additional turnover differential per season will ________

A)increase the average number of wins per season by 1.5572
B)decrease the average number of wins per season by 1.5572
C)decrease the average number of wins per season by 0.1371
D)increase the average number of wins per season by 0.1371

Question 49

Every additional bedroom in the house will _______ .

A)decrease the average selling price by $101,922
B)decrease the average selling price by $31,262
C)increase the average selling price by $31,262
D)increase the average selling price by $108,597

Question 50

The number of employees that were included in the sample is ______.

A)25
B)20
C)19
D)24

Question 51

______ regression brings one independent variable into the model at a time and does not allow any variables to leave once they have entered.

A)Forward selection
B)Best subsets
C)Backward elimination
D)General stepwise

Question 52

________ regression begins with all of the independent variables in the model. Variables that are not significant leave the model one at a time and are never allowed to return.

A)General stepwise
B)Backward elimination
C)Forward selection
D)Best subsets

Question 53

The predicted number of cars sold in a month for an employee with seven years of sales experience, a base salary of $400, and a bachelor's degree is _______.

A)12.1
B)12.7
C)13.3
D)11.4

Question 54

The degrees of freedom for the sum of squares error are ________.

A)24
B)25
C)4
D)20

Question 55

The variable $$\hat { y }$$ represents the ______ in the regression model.

A)residual
B)value of the independent variable
C)predicted value for the dependent variable
D)value of the dependent variable

Question 56

The degrees of freedom for the sum of squares regression are _______.

A)2
B)28
C)3
D)31

Question 57

The number of teams that were included in the sample is _______.

A)32
B)31
C)28
D)30

Question 58

The critical value to test the significance of the regression coefficients using α = 0.05 is _____.

A)2.145
B)2.179
C)2.131
D)2.201

Question 59

_______ variables are used to represent qualitative data in a multiple regression model and can only take on the values 0 and 1.

A)Dummy
B)Regression
C)Independent
D)Dependent

Question 60

The 95% confidence interval for the average number of cars sold per month by employees with seven years of experience, a salary of $400 per week, and a bachelor's degree is ______.

A)(9.51, 13.24)
B)(7.30, 15.45)
C)(5.50, 17.24)
D)(8.58, 14.16)

Question 61

The test statistic for testing the significance of the Living Area variable is _______.

A)3.857
B)5.028
C)4.690
D)3.135

Question 62

The 95% prediction interval for the selling price of a specific house that is 10 years old, 2,400 square feet with four bedrooms is ____.

A)($384,090, $488,362)
B)($402,649, $469,803)
C)($350,152, $522,300)
D)($321,628, $540,824)

Question 63

The 95% confidence interval for the regression coefficient for the TO variable is _______.

A)(- 0.340, 0.614)
B)(0.056, 0.218)
C)(- 0.108, 0.382)
D)(0.062, 0.212)

Question 64

The critical value for the hypothesis test for the overall regression model using α = 0.05 is ______.

A)8.763
B)3.708
C)3.982
D)3.587

Question 65

The test statistic for testing the significance for the overall regression model follows the

A)F- distribution.
B)chi- square distribution.
C)Student's t- distribution.
D)normal distribution.

Question 66

The p- value for the hypothesis test for the overall regression model is ______.

A)0.0396
B)0.3265
C)4.0112E- 07
D)0.0709

Question 67

Which one of the following statements is true concerning the 95% confidence interval for the regression coefficient for the Salary variable?

A)Because the confidence interval does not include zero, we have evidence to conclude that there is no relationship between the base salary of the employee and the number of cars sold per month.
B)Because the confidence interval includes zero, we have evidence to conclude that there is a relationship between the base salary of the employee and the number of cars sold per month.
C)Because the confidence interval includes zero, we have evidence to conclude that there is no relationship between the base salary of the employee and the number of cars sold per month.
D)Because the confidence interval does not include zero, we have evidence to conclude that there is a relationship between the base salary of the employee and the number of cars sold per month.

Question 68

Every additional $100 of base salary will _______.

A)increase the average number of cars sold per month by 0.3265
B)increase the average number of cars sold per month by 1.6352
C)increase the average number of cars sold per month by 1.6448
D)increase the average number of cars sold per month by 1.27

Question 69

Every additional square foot of the house will _______.

A)decrease the average selling price by $581
B)decrease the average selling price by $28
C)increase the average selling price by $87
D)increase the average selling price by $581

Question 70

The F- test statistic for the overall regression model is _________ .

A)8.117
B)5.263
C)9.437
D)8.864

Question 71

The degrees of freedom for the critical value to test the significance of the regression coefficients using α = 0.05 are _____.

A)31
B)28
C)27
D)32

Question 72

If the variance inflation factor exceeds _______, enough correlation exists between the independent variables to claim that multicollinearity is present in the regression model.

A)3.0
B)10.0
C)6.0
D)5.0

Question 73

Which one of the following statements is true concerning the 95% confidence interval for the regression coefficient for the Exp variable?

A)Because the confidence interval includes zero, we have evidence to conclude that there is no relationship between the sales experience of the employee and the number of cars sold per month.
B)Because the confidence interval does not include zero, we have evidence to conclude that there is a relationship between the sales experience of the employee and the number of cars sold per month.
C)Because the confidence interval includes zero, we have evidence to conclude that there is a relationship between the sales experience of the employee and the number of cars sold per month.
D)Because the confidence interval does not include zero, we have evidence to conclude that there is no relationship between the sales experience of the employee and the number of cars sold per month.

Question 74

The p- value for the hypothesis test for the overall regression model is ______.

A)0.0000
B)0.4000
C)0.0005
D)0.0018

Question 75

The critical value for the hypothesis test for the overall regression model using α = 0.05 is _______.

A)2.866
B)3.982
C)8.763
D)2.104

Question 76

Which one of the following statements is true concerning the 95% confidence interval for the regression coefficient for the PEN variable?

A)Because the confidence interval includes zero, we have evidence to conclude that there is a relationship between the average number of penalties per game and the average number of wins per season for a team.
B)Because the confidence interval includes zero, we have evidence to conclude that there is no relationship between the average number of penalties per game and the average number of wins per season for a team.
C)Because the confidence interval does not include zero, we have evidence to conclude that there is no relationship between the average number of penalties per game and the average number of wins per season for a team.
D)Because the confidence interval does not include zero, we have evidence to conclude that there is a relationship between the average number of penalties per game and the average number of wins per season for a team.

Question 77

The test statistic for testing the significance for the regression coefficient follows the _____.

A)normal distribution
B)F- distribution
C)Student's t- distribution
D)chi- square distribution

Question 78

Which one of the following statements is true concerning the 95% confidence interval for the regression coefficient for the TO variable?

A)Because the confidence interval does not include zero, we have evidence to conclude that there is a relationship between the turnover differential per season and the average number of wins per season for a team.
B)Because the confidence interval includes zero, we have evidence to conclude that there is no relationship between the turnover differential per season and the average number of wins per season for a team.
C)Because the confidence interval does not include zero, we have evidence to conclude that there is no relationship between the turnover differential per season and the average number of wins per season for a team.
D)Because the confidence interval includes zero, we have evidence to conclude that there is a relationship between the turnover differential per season and the average number of wins per season for a team.

Question 79

The mean square error for this model is ______.

A)65.42
B)3.74
C)196.26
D)17.49

Question 80

The 95% confidence interval for the regression coefficient for the Bedrooms variable is _____.

A)(20,151, 42,373)
B)(- 8,974, 71,498)
C)(- 17,502, 80,026)
D)(7,036, 55,488)