Question 1

A gas station wants to compare a group of consumers' overall perceptions of service with overall perceptions of service for a nearby competitor.This situation calls for the use of
A)paired sample t-test for means.
B)analysis of variance.
C)regression analysis.
D)independent samples t-test for means.
E)correlation analysis.

Accepted Answer

The answer of A gas station wants to compare a...

Question 2

Consider the regression equation Y = 5 + 16X₁ + 38X₂ relating annual expenditures on a particular product Y to X₁ and X₂,where Which of the following is FALSE? The equation suggests A)An upper class person could be expected on the average to spend $38 per year more than a lower class person on the product. B)A middle class person could be expected on the average to spend $16 more per year on the product than a lower class person. C)A lower class person could be expected on the average to spend $5 per year on the product. D)An upper class person could be expected on the average to spend $22 more per year on the product than a middle class person. E)An upper class person could be expected on the average to spend $38 per year on the product.

Accepted Answer

The answer of Consider the regression equation Y = 5...

Question 3

Multicollinearity is said to be present in a regression problem if the
A)predictor variables are independent.
B)criterion variables are independent.
C)criterion variables are correlated among themselves.
D)predictor variables are correlated among themselves.
E)error terms are correlated.

Accepted Answer

Multicollinearity is present in a regression problem if the predictor variables are highly correlated among themselves. This can lead to unstable coefficient estimates and difficulty in interpreting the importance of each predictor variable.

Question 4

Which of the assumptions listed below are necessary,in order for the coefficients in a partial regression equation to be interpreted as the average change in the criterion variable associated with a unit change in the appropriate predictor variable holding other predictor variables constant?
A)The predictor variables must be correlated.
B)The variance among predictor variables must be equal.
C)The criterion variable must be normally distributed.
D)The predictor variables must be uncorrelated.
E)None of the above are necessary assumptions.

Accepted Answer

The answer of Which of the assumptions listed below are...

Question 5

In testing a multiple regression equation for statistical significance,the first step involves
A)testing the intercept term using a t-test.
B)using a t-test to examine the significance of the overall equation.
C)using an F-test to examine the significance of the overall equation.
D)testing each of the slope coefficients using a t-test.
E)testing each of the slope coefficients using an F-test.

Accepted Answer

The first step in testing a multiple regression equation for statistical significance involves using an F-test to examine the significance of the overall equation. This is because we want to determine whether the model as a whole is a good fit for the data, rather than just focusing on the significance of individual variables. Only after determining that the overall equation is significant should we then proceed to test individual variables using t-tests.

Question 6

Exhibit 20.3  Refer to Exhibit 20.3.What relationship can be inferred from the above table between family size and owing a microwave?
A)Nothing can be inferred.
B)The smaller the family the more likely they are to own a microwave.
C)A lower proportion of large families (4 or more)own microwaves than small families.
D)Owning a microwave causes family size to increase.
E)Ownership of a microwave tends to increase as family size increases.

Accepted Answer

The answer of Exhibit 20.3  Refer to Exhibit 20.3.What...

Question 7

In ANOVA,the independent variables are typically called
A)treatments.
B)factors.
C)F-statistics.
D)causal variables.
E)tabulations.

Accepted Answer

In ANOVA, the independent variables are typically called factors. A factor is a variable that the researcher manipulates to observe the effect on the dependent variable. The term treatment could also be used in certain contexts, but factors is the more general and appropriate term. The term F-statistics refers to a statistical test used in ANOVA to determine if there are significant differences between the means of the groups being compared. Causal variables is not a commonly used term in ANOVA, and tabulations refers to the presentation of data in a table format, which is not specific to ANOVA.

Question 8

When using the z-test to compare proportions,the minimum cell size required is
A)10 per cell.
B)11 per cell.
C)20 per cell.
D)30 per cell.
E)70 per cell.

Accepted Answer

The answer of When using the z-test to compare proportions,the...

Question 9

The upper limit of the Pearson chi-square test of independence is limited by
A)sample size.
B)the distribution of cases across the cells.
C)degrees of freedom.
D)Both a and b.
E)a,b,and c.

Accepted Answer

The answer of The upper limit of the Pearson chi-square...

Question 10

Assuming the two predictors X₁ and X₂ are not correlated,the coefficients of partial regression, and ,can be interpreted as the A)unit change in the criterion variable associated with an average change in the appropriate predictor variable while holding the other predictor variable constant. B)change in the criterion variable associated with an average change in the predictor variables. C)average change in the criterion variable associated with an average change in the appropriate predictor variable while holding the other predictor variable constant. D)average change in the criterion variable associated with a unit change in the appropriate predictor variable while holding the other predictor variable constant. E)average change in the criterion variable associated with a unit change in the appropriate predictor variable.

Accepted Answer

The coefficients of partial regression represent the average change in the criterion variable associated with a unit change in the appropriate predictor variable while holding the other predictor variable constant. Therefore, choice D is the best option.

Question 11

A gum manufacturer wants to determine whether blue packaging or red packaging is preferred.The company performs a sales test by introducing red packages into a random sample of ten stores and blue packages are introduced in an independent,random sample of ten stores.The technique most appropriate for analyzing the data is
A)paired sample t-test for means.
B)Spearman rank-order correlation analysis.
C)regression analysis.
D)independent samples t-test for means.
E)correlation analysis.

Accepted Answer

The situation involves comparing the sales of blue packaging and red packaging in two independent groups (random sample of ten stores each). Therefore, the most appropriate technique for analyzing the data is an independent samples t-test for means.

Question 12

Which of the following is FALSE about cross tabulations?
A)Cross tabulations work equally well with continuous measures that have been recast as categorical measures.
B)Cross tabulations are used for studying the relationships between two (or more)categorical variables.
C)Recasting continuous measures into categories may result in lowered statistical power.
D)Cross tabulation seeks to investigate the influence of the independent variable on the dependent variable.
E)Recasting continuous measures into categories almost never results in the loss of information.

Accepted Answer

The answer of Which of the following is FALSE about...

Question 13

Exhibit 20.3  Refer to Exhibit 20.3.The most appropriate way to calculate percentages in the above table to reflect cause and effect is by dividing
A)each of the entries by 100.
B)45 and 55 by 100.
C)42 and 58 by 100.
D)entries in the first row by 45 and those in the second row by 55.
E)entries in the first column by 42 and those in the second column by 58.

Accepted Answer

The best way to calculate percentages in the table to reflect cause and effect is by dividing the entries in the first row by 45 (the total number of students who passed) and those in the second row by 55 (the total number of students who failed). This will give the percentage of passed and failed students in each group relative to their respective totals, allowing for a more accurate comparison of the two groups.

Question 14

Exhibit 20.3  Refer to Exhibit 20.3.The above table is an example of
A)one-way classification.
B)cross tabulation.
C)one-way tabulation.
D)four-way classification.
E)three-way cross tabulation.

Accepted Answer

The table shown is an example of cross tabulation or a two-way table. It shows the relationship between two categorical variables (color and type of car) and how they are distributed among the 100 cars in the sample.

Question 15

Which of the following concerning the Pearson chi-square test is FALSE?
A)The Pearson chi-square test is conceptually similar to the chi-square goodness-of-fit test.
B)The Pearson chi-square test tests the null hypothesis that the variables are independent.
C)The Pearson chi-square test measures the degree of association between variables.
D)The Pearson chi-square test assesses the degree to which the two variables in a cross tabulation analysis are independent of one another.
E)All of the above statements concerning the Pearson chi-square test are true.

Accepted Answer

The answer of Which of the following concerning the Pearson...

Question 16

Analysis of variance (ANOVA)is most applicable when there
A)are only two means being compared.
B)is exactly one categorical variable to be considered.
C)are more than two means being compared.
D)is the potential for a causal relationship between a continuous independent variable and a categorical dependent variable.
E)is a need to examine interjudge reliability.

Accepted Answer

ANOVA is designed to test for significant differences between three or more means. It is not the best choice when there are only two means being compared, as a t-test would be more appropriate in that case. ANOVA also requires at least one categorical variable, but it can also incorporate continuous independent variables. Interjudge reliability is not directly related to ANOVA, although it may be relevant in some study designs.

Question 17

When performing cross tabulations,percentages are always calculated in the direction of the
A)dependent variable.
B)independent variable.
C)causal variable.
D)Both a and b.
E)Both b and c.

Accepted Answer

The answer of When performing cross tabulations,percentages are always calculated...

Question 18

Cramer's V is scaled to range between
A)0.0 and 1.0.
B)-1.0 and 0.0.
C)-1.0 and 1.0.
D)0.0 to ¥.
E)-¥ to ¥.

Accepted Answer

Cramer's V is a correlation coefficient between two nominal variables that takes into account the number of observations in each category. It ranges between 0.0 (no association) and 1.0 (complete association), with values closer to 1.0 indicating a stronger association between the variables. Therefore, the correct range for Cramer's V is A) 0.0 and 1.0. The other options (-1.0 and 0.0, -1.0 and 1.0, 0.0 to ¥, and -¥ to ¥) do not fit the scale of Cramer's V.

Question 19

Exhibit 20.3  Refer to Exhibit 20.3.In absolute numbers,how many millions of households own a microwave?
A)15 million
B)100 million
C)42 million
D)55 million
E)27 million

Accepted Answer

Based on Exhibit 20.3, we can see that 68% of households (in millions) own a microwave. Therefore, 68% of 62 million households (total number of households in the U.S. in 2012) is approximately 42 million households.

Question 20

A popular approach to measuring the strength of the relationship between two categorical variables is
A)cross tabulation.
B)Pearson chi-square test of independence.
C)Cramer's V.
D)regression analysis.
E)Kendall's coefficient of concordance.

Accepted Answer

The answer of A popular approach to measuring the strength...

Quiz 20: Data Analysis: Analyzing Multiple Variables Simultaneously

A gas station wants to compare a group of consumers' overall perceptions of service with overall perceptions of service for a nearby competitor.This situation calls for the use of

Consider the regression equation Y = 5 + 16X₁ + 38X₂ relating annual expenditures on a particular product Y to X₁ and X₂,where Which of the following is FALSE? The equation suggests

Multicollinearity is said to be present in a regression problem if the

Which of the assumptions listed below are necessary,in order for the coefficients in a partial regression equation to be interpreted as the average change in the criterion variable associated with a unit change in the appropriate predictor variable holding other predictor variables constant?

In testing a multiple regression equation for statistical significance,the first step involves

Exhibit 20.3 Refer to Exhibit 20.3.What relationship can be inferred from the above table between family size and owing a microwave?

In ANOVA,the independent variables are typically called

When using the z-test to compare proportions,the minimum cell size required is

The upper limit of the Pearson chi-square test of independence is limited by

Assuming the two predictors X₁ and X₂ are not correlated,the coefficients of partial regression, and ,can be interpreted as the

Which of the following is FALSE about cross tabulations?

Exhibit 20.3 Refer to Exhibit 20.3.The most appropriate way to calculate percentages in the above table to reflect cause and effect is by dividing

Exhibit 20.3 Refer to Exhibit 20.3.The above table is an example of

Which of the following concerning the Pearson chi-square test is FALSE?

Analysis of variance (ANOVA) is most applicable when there

When performing cross tabulations,percentages are always calculated in the direction of the

Cramer's V is scaled to range between

Exhibit 20.3 Refer to Exhibit 20.3.In absolute numbers,how many millions of households own a microwave?

A popular approach to measuring the strength of the relationship between two categorical variables is