Question 1

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 is to use an F-test to examine the overall significance of the equation. This F-test evaluates whether at least one of the predictor variables has a significant relationship with the outcome variable. Only if the overall equation is significant (i.e. the null hypothesis is rejected) can individual predictor variables be tested for significance using t-tests. Therefore, options A, B, D, and E are incorrect.

Question 2

Which of the following statements about the Pearson chi-square test of independence is NOT true?
A)It assesses the degree to which variables in a cross-tabulation are independent of one another.
B)The value can range from zero to some upper value limited by sample size and distribution of cases across the cells.
C)It doesn't measure the strength of association when variables are dependent.
D)It is only useful for univariate analysis.
E)All of these statements are true.

Accepted Answer

Statement D is not true. The Pearson chi-square test of independence is not limited to univariate analysis and can be used for bivariate analysis to assess the relationship between two variables.

Question 3

Which of the following emphasizes the division of the sample into subgroups so as to learn how the dependent variable varies from subgroup to subgroup?
A)Longitudinal analysis
B)Coding
C)Cross-sectional analysis
D)Cross tabulation
E)One-way tabulation

Accepted Answer

Cross tabulation involves breaking down the data into subgroups by creating a contingency table to analyze the relationship between two variables. This method allows for a comparison of the dependent variable across subgroups.

Question 4

Which of the following statements about regression/correlation analysis is FALSE?
A)Correlation analysis involves the measurement of the closeness of the relationship between two or more variables.
B)Regression analysis involves the derivation of an equation that relates the criterion variable to one or more predictor variables.
C)Regression analysis can establish the causal relationship between two or more variables.
D)The regression line minimizes the sum of the squared deviations about the line.
E)It is much more common to conduct regression analyses using a computer.

Accepted Answer

Regression analysis cannot establish causal relationships between variables, only correlations. Correlations may suggest causation, but additional research is necessary to confirm causality.

Question 5

Which of the following is a technique that measures the closeness of the relationship between two or more variables by considering their joint variation?
A)Correlation analysis
B)Analysis of variance (ANOVA)
C)Multiple regression analysis
D)z-test
E)F-test

Accepted Answer

Correlation analysis measures the relationship between two or more variables by examining the degree to which they vary together. This technique is used to determine the strength and direction of the relationship between variables.

Question 6

The value of the product-moment coefficient of correlation ranges from
A)−1.0 to 0.0.
B)−1.0 to 1.0.
C)−0.5 to 0.5.
D)0.0 to 1.0.
E)−∞ to ∞.

Accepted Answer

The product-moment coefficient of correlation, also known as Pearson's correlation coefficient, ranges from -1.0 to 1.0. A value of -1.0 indicates a perfect negative correlation, 0 indicates no correlation, and 1.0 indicates a perfect positive correlation. Therefore, B is the correct range for the coefficient of correlation.

Question 7

Suppose that the relationship between sales (Y,in $000)and number of salespeople (X)is represented by the following regression equation: Y = 105.2 + 35.8X.What will average sales be equal to when 10 salespeople are used?
A)$358,000
B)$463.20
C)$358.00
D)$463,200
E)More information is needed to answer this question.

Accepted Answer

Plug in X=10 in the regression equation: 
Y = 105.2 + 35.8(10) 
Y = 105.2 + 358 
Y = $463,200 
Therefore, the average sales would be $463,200 when 10 salespeople are used.

Question 8

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

Accepted Answer

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

Question 9

A researcher is interested in comparing the usage of bank debit cards by consumers in rural (r)and urban (u)areas.Each year for the past five years,she has surveyed 500 individuals (one-half urban,one-half rural)randomly selected from across the United States.She is specifically interested in any differences that may exist between the two groups with regard to usage.The results of the current study indicate that people in urban areas use bank debit cards 12 times per month on average,while those in rural areas use bank cards 10 times per month on average.Given that the critical value that the test statistic is to be compared with is equal to 1.645 at a 90% significance level,which of the following statements are true?
A)The researcher should reject the null hypothesis at the 90% significance level.
B)The researcher might be able to reject the null hypothesis at the 95% level of significance.
C)The researcher cannot reject the null hypothesis at this significance level.
D)The researcher has provided evidence that people in urban areas use bank debit cards more than people in rural areas.
E)More information is needed before a decision about the null hypothesis can be made.

Accepted Answer

The test statistic must be calculated and compared to the critical value of 1.645. Without the test statistic, we cannot determine if the null hypothesis should be rejected. Therefore, the researcher cannot reject the null hypothesis at the 90% significance level based on the information provided.

Question 10

A researcher is interested in comparing the usage of bank debit cards by consumers in rural (r)and urban (u)areas.Each year for the past five years,she has surveyed 500 individuals (one-half urban,one-half rural)randomly selected from across the United States.She is specifically interested in any differences that may exist between the two groups with regard to usage.The results of the current study indicate that people in urban areas use bank debit cards 12 times per month on average,while those in rural areas use bank cards 10 times per month on average.Assuming that the standard error of estimate for the difference in means is 1.5,calculate the value of the test statistic that would be used in the comparison of the two means.
A)0.75
B)1.33
C)1.88
D)1.96
E)None of these are correct.

Accepted Answer

The answer of A researcher is interested in comparing the...

Question 11

Suppose the ordinary least-squares approach to a regression analysis produced the following: Y = 20 - 39X and R2 = .90.Which of the following statements is FALSE?
A)For every unit change in X there is a corresponding negative change in the average value of Y of 39 units.
B)90% of the variation in Y is associated with variation in X.
C)The slope of the line is 20.
D)The average value of Y given x = 10 is −370.
E)If X = 0,then Y = 20.

Accepted Answer

The slope of the regression line is given by the coefficient of X, which is -39 in the equation Y = 20 - 39X, not 20. The number 20 represents the Y-intercept, not the slope.

Question 12

The most used multivariate data analysis technique in applied marketing research is
A)regression analysis.
B)frequency analysis.
C)paired sample t-test.
D)cross tabulation.
E)Cramer's V.

Accepted Answer

The answer of The most used multivariate data analysis technique...

Question 13

A brand product manager needs to know if men and women hold different attitudes about her product.What test should the brand product manager use?
A)Cross-tabulation
B)Independent samples t-test for means
C)Pearson chi-square test of independence
D)Paired sample t-test for means
E)Regression analysis

Accepted Answer

The answer of A brand product manager needs to know...

Question 14

Which of the following is a technique that measures the association between a criterion variable and one or more independent variables?
A)Correlation analysis
B)Analysis of variance
C)Regression analysis
D)z-test
E)F-test

Accepted Answer

Regression analysis measures the association between a criterion variable and one or more independent variables by identifying the relationship between them and creating a prediction equation. Correlation analysis measures the strength of the relationship between two variables, and analysis of variance and F-test are used to test differences between groups or conditions. The z-test is used to test hypotheses about population means when the population standard deviation is known. Therefore, regression analysis is the best choice for measuring the association between a criterion variable and one or more independent variables.

Question 15

Given a cross tabulation between years of education and income,we would compute percentages in the direction of years of education because
A)the probability that given X income you will have Y years of education makes sense.
B)the probability that given X years of education you will have Y income makes sense.
C)It doesn't matter which way you do it.
D)All of these are correct.
E)None of these are correct.

Accepted Answer

Computing percentages in the direction of years of education allows us to understand the probability of having a certain income given a certain level of education, which is more meaningful and useful than understanding the probability of having a certain level of education given a certain income.

Question 16

An analyst has a set of normally distributed internally scaled data resulting from two observations on the same sample of subjects,and he wishes to investigate if there is any difference in these two means.The appropriate statistical procedure is
A)a z-test for difference in two means.
B)analysis of variance (ANOVA).
C)a paired samples t-test.
D)a chi-square goodness-of-fit test.
E)regression analysis.

Accepted Answer

The appropriate statistical procedure for comparing two means of internally scaled data resulting from two observations on the same sample of subjects is a paired samples t-test. This test is designed to test whether the means of two dependent samples are equal. Option A (z-test for difference in two means) is not appropriate for normally distributed data with small sample sizes, and Option B (ANOVA) is used to compare means of three or more independent groups. Option D (chi-square goodness-of-fit test) and Option E (regression analysis) are not appropriate for comparing two means.

Question 17

A series of cross-tabulations between an outcome variable and several possible causal variables presented in a single table on a single page is known as a(n)
A)tabulation template.
B)tabulation matrix.
C)banner table.
D)causal digest.
E)analysis legend.

Accepted Answer

A banner table is a type of table used in statistical analysis that displays the cross-tabulation of variables, typically showing how an outcome variable relates to several other variables on a single page for easy comparison.

Question 18

If the correlation between two variables x and y is equal to −0.90,which of the following is TRUE?
A)x and y are highly related,whereby a positive change in x is accompanied by a positive change in y.
B)The two variables x and y are not related to one another.
C)x and y are highly related,whereby a negative change in x is accompanied by a positive change in y.
D)The coefficient of determination is equal to −0.81.
E)An increase in x is accompanied by a decrease in y.

Accepted Answer

The answer of If the correlation between two variables x...

Question 19

Suppose that the relationship between sales (Y,in $000)and number of salespeople (X)is represented by the following regression equation: Y = 105.2 + 35.8X.What will be the average contribution to sales of one additional salesperson?
A)$35.80
B)$141,000
C)$35,800
D)$141.00
E)More information is needed to answer this question.

Accepted Answer

The coefficient of X in the regression equation represents the average increase in Y for one unit increase in X. In this case, the coefficient is 35.8, which means that on average, each additional salesperson contributes $35,800 to sales. Therefore, the answer is C.

Question 20

To determine the degree to which the variables in a cross-tabulation analysis are independent of one another,a researcher should use
A)a cross tabulation variable independence test.
B)the Pearson chi-square test of independence.
C)regression analysis.
D)Cramer's V.
E)Kendall's coefficient of concordance.

Accepted Answer

The Pearson chi-square test of independence is the best choice for determining the degree of independence between variables in a cross-tabulation analysis. This statistical test is specifically designed to determine if there is a relationship between two categorical variables.

Quiz 18: Analysis and Interpretation: Multiple Variables Simultaneously

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

Which of the following statements about the Pearson chi-square test of independence is NOT true?

Which of the following emphasizes the division of the sample into subgroups so as to learn how the dependent variable varies from subgroup to subgroup?

Which of the following statements about regression/correlation analysis is FALSE?

Which of the following is a technique that measures the closeness of the relationship between two or more variables by considering their joint variation?

The value of the product-moment coefficient of correlation ranges from

Suppose that the relationship between sales (Y,in $000) and number of salespeople (X) is represented by the following regression equation: Y = 105.2 + 35.8X.What will average sales be equal to when 10 salespeople are used?

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

Suppose the ordinary least-squares approach to a regression analysis produced the following: Y = 20 - 39X and R2 = .90.Which of the following statements is FALSE?

The most used multivariate data analysis technique in applied marketing research is

A brand product manager needs to know if men and women hold different attitudes about her product.What test should the brand product manager use?

Which of the following is a technique that measures the association between a criterion variable and one or more independent variables?

Given a cross tabulation between years of education and income,we would compute percentages in the direction of years of education because

An analyst has a set of normally distributed internally scaled data resulting from two observations on the same sample of subjects,and he wishes to investigate if there is any difference in these two means.The appropriate statistical procedure is

A series of cross-tabulations between an outcome variable and several possible causal variables presented in a single table on a single page is known as a(n)

If the correlation between two variables x and y is equal to −0.90,which of the following is TRUE?

Suppose that the relationship between sales (Y,in $000) and number of salespeople (X) is represented by the following regression equation: Y = 105.2 + 35.8X.What will be the average contribution to sales of one additional salesperson?

To determine the degree to which the variables in a cross-tabulation analysis are independent of one another,a researcher should use