Question 1

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

Accepted Answer

The Pearson chi-square test of independence is used to determine if there is a significant association between two categorical variables in a cross-tabulation.

Question 2

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

Accepted Answer

A correlation of -0.90 indicates a strong negative relationship between x and y, meaning that as x increases, y tends to decrease, and vice versa.

Question 3

Refer to Scenario 18.2. What will average sales be equal to when 10 salespeople are used?

Accepted Answer

Average sales will be equal to $463,200 when 10 salespeople are used because the average sales per salesperson is $46,320 and there are 10 salespeople.

Question 4

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

Accepted Answer

The slope of the line is -39, not 20. The number 20 is the intercept.

Question 5

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

Accepted Answer

The first step in testing a multiple regression equation for statistical significance is to use an F-test to examine the significance of the overall equation. This test assesses whether at least one of the predictors is significantly related to the dependent variable.

Question 6

Refer to Scenario 18.1. 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?

Accepted Answer

The test statistic is less than the critical value, so the researcher cannot reject the null hypothesis at this significance level.

Question 7

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

Accepted Answer

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

Question 8

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?

Accepted Answer

An independent samples t-test for means is used to compare the means of two independent groups (in this case, men and women) to determine if there is a statistically significant difference in their attitudes towards the product.

Question 9

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?

Accepted Answer

Cross tabulation emphasizes the division of the sample into subgroups to analyze how the dependent variable varies across these subgroups.

Question 10

What conclusion(s) can you make from the following cross tabulation?

Accepted Answer

The answer of What conclusion(s) can you make from the...

Question 11

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

Accepted Answer

The Pearson chi-square test of independence is used for bivariate analysis, not univariate analysis. It assesses the relationship between two categorical variables.

Question 12

Refer to Scenario 18.2. What will be the average contribution to sales of one additional salesperson?

Accepted Answer

The average contribution to sales of one additional salesperson is $35,800. This is calculated by dividing the total sales increase of $141,000 by the number of additional salespeople, which is 4.

Question 13

An analyst has a set of normally distributed intervally 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

Accepted Answer

The paired samples t-test is used to compare the means of two related groups, such as the same subjects measured at two different times.

Question 14

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)

Accepted Answer

A banner table is a type of table that displays cross-tabulations of an outcome variable against several potential causal variables, typically in a single table on one page for easy comparison and analysis.

Question 15

Refer to Scenario 18.1. 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.

Accepted Answer

The answer of Refer to Scenario 18.1. Assuming that the...

Question 16

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

Accepted Answer

Regression analysis can suggest associations between variables but cannot definitively establish causation due to potential confounding variables and the nature of observational data.

Question 17

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

Accepted Answer

Regression analysis is used to measure the association between a criterion variable (dependent variable) and one or more independent variables.

Question 18

A researcher wishes to test for differences in the means of two populations, A and B. The correct statement of the statistical hypotheses is

Accepted Answer

The null hypothesis (H0) typically states that there is no difference between the means, while the alternative hypothesis (Ha) states that there is a difference.

Question 19

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

Accepted Answer

The product-moment coefficient of correlation is a measure of the strength and direction of the linear relationship between two variables. It ranges from -1.0 to 1.0, where -1.0 indicates a perfect negative correlation, 0 indicates no correlation, and 1.0 indicates a perfect positive correlation.

Question 20

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

Accepted Answer

Correlation analysis measures the closeness of the relationship between two or more variables by considering their joint variation.

Quiz 18: Analysis and Interpretation Multiple Variables Simultaneously