# Quiz 15: Testing for Differences Between Groups and for Predictive Relationships

Business

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Q 3Q 3

If a researcher is interested in whether adult males purchase a product more frequently than adult females, univariate statistics would be used in the analysis of data.

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Q 4Q 4

One way to test the significance of the relationship shown in a contingency tables is by means of the chi-square test.

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Q 5Q 5

The chi-square test involves comparison of the observed frequencies of the groups with the expected frequencies of the groups.

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True False

Q 6Q 6

The chi-square test tests the significance of the relationship shown in an R X C contingency table in which R stands for row and C stands for column.

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True False

Q 7Q 7

To use the chi-square test, both variables in a 2 x 2 contingency table must be measured on a ratio scale.

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Q 8Q 8

The chi-square test requires that the expected frequency in each cell of the contingency table be at least 30.

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Q 9Q 9

The independent samples t-test tests the differences between means from no more than four independent samples or groups.

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True False

Q 10Q 10

A pooled estimate of the standard error is a poorer estimate of the standard error than one based on the variance from either sample.

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Q 11Q 11

The degrees of freedom are calculated as df = n 1 when using the t-test for comparing two means, where n = n1 + n2.

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Q 15Q 15

In a regression equation, the slope of the line, , is the change in X that is due to a corresponding change of one unit of Y.

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True False

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Q 18Q 18

If the purpose of the regression analysis is forecasting, then standardized regression estimates are most appropriate.

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Q 19Q 19

Multivariate statistical analysis permits the researcher to consider more than one dependent variable at the same time.

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True False

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Q 21Q 21

Multiple regression analysis includes a single independent variable but several dependent variables.

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True False

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Q 24Q 24

In multiple regression, dummy variables are those that have no effect on the dependent variable.

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Q 25Q 25

In a regression equation, the beta coefficients indicate the effect on the dependent variable of a 1-unit increase in any of the independent variables.

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Q 26Q 26

A researcher hypothesizes that males and females differ with respect to attitude toward sports sponsorships. To investigate this hypothesis that these two groups' attitudes differ, the researcher will use a ____.
A) bivariate test of differences
B) univariate test of differences
C) multivariate test of differences
D) cluster analysis

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Multiple Choice

Q 27Q 27

The formula given below represents the method for calculating the ____.
A) Z-test
B) F-test
C) 2 test
D)

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Multiple Choice

Q 28Q 28

The formula for the chi-square test uses ____.
A) observed and expected frequencies
B) observed and expected percentages
C) the two sample means
D) the two sample standard deviations

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Multiple Choice

Q 29Q 29

How many degrees of freedom are there in a four-cell chi-square test?
A) (R + 1)
B) (R - 1)
C) (R - 1)(C - 1)
D) R(C - 1)

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Multiple Choice

Q 30Q 30

In a brand awareness study, 25 of a group of 35 males identify the brand correctly and 15 of a group of 35 females identify this brand correctly. The chi-square value for this study is approximately ____.
A) 3.26
B) 4.15
C) 5.84
D) 7.92

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Multiple Choice

Q 31Q 31

In using the t-test to compare the means of two groups, the alternative hypothesis is typically stated as ____.
A) 1 2
B) 1 = 2
C) 1 - 2 = 2
D) 1 + 2 = 1

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Multiple Choice

Q 32Q 32

In comparing the difference of the means between two groups, the null hypothesis can also be stated as ____.
A) 1 - 2 = 0
B) 1 + 2 = 0
C) 1 x 2 = 0
D) 1 / 2 = 0

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Multiple Choice

Q 33Q 33

What is another form of the alternative hypothesis when testing the difference between the means of the two groups?
A) 1 - 2 = 0
B) 1 - 2 0
C) 1 - 2 = 2
D) 1 - 2 2

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Multiple Choice

Q 34Q 34

Suppose that you are using a 9-point rating scale to compare men who have an annual income over $50,000 (Group 1) with men who have an annual income less than or equal to $50,000 (Group 2) with regard to their assessment of a new product. There are forty men in Group 1 and they have a mean of 7 and a standard deviation of 2.5, while the 35 men in Group 2 have a mean of 5 and a standard deviation of 1.4. What is the approximate value of t using the t-test?
A) 3.43
B) 4.19
C) 5.64
D) There is not enough information to determine this.

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Multiple Choice

Q 35Q 35

A study compares the means of two groups in which there are 45 males in Group 1 and 37 females in Group 2. The degrees of freedom for this study when using the t-test for the difference between means is ____.
A) 74
B) 80
C) 82
D) 160

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Multiple Choice

Q 36Q 36

In using the Z-test for comparing two proportions, the null hypothesis is typically stated as ____.
A) 1 = 2.
B) 1 2.
C) 1 x 2 = 1
D) 1 - 2 = 1

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Multiple Choice

Q 37Q 37

When the on-time performance of airlines is used to predict the number of customer complaints in a regression equation, on-time performance is the ____ variable and the number of customer complaints is the ____ variable.
A) independent; dependent
B) dependent; dependent
C) dependent; independent
D) independent; predictor

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Multiple Choice

Q 38Q 38

In regression analysis, the symbol X is commonly used for the ____ variable, and the symbol Y is commonly used for the ____ variable.
A) dependent; moderating
B) independent; dependent
C) dependent; independent
D) independent; moderating

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Multiple Choice

Q 39Q 39

In the regression equation, Y = a + X, Y is the ____.
A) dependent variable
B) slope
C) independent variable
D) intercept

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Multiple Choice

Q 40Q 40

In the regression equation, Y = a + X , is the ____.
A) y-intercept
B) independent variable
C) slope of the regression line
D) dependent variable

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Multiple Choice

Q 41Q 41

In the regression equation, Y = a + X, a is the symbol for the ____.
A) slope of the regression line
B) y-intercept of the regression line
C) dependent variable
D) independent variable

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Multiple Choice

Q 42Q 42

The equation, Y = a + X, is the equation for the ____.
A) coefficient of determination
B) correlation coefficient
C) least-squares regression line
D) F-test

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Multiple Choice

Q 43Q 43

Consider this regression equation: Y = 24.35 - 14.2 X. Here, 24.35 is the ____, and -14.2 is the ____.
A) slope; y-intercept
B) independent variable; slope
C) dependent variable; y-intercept
D) y-intercept; slope

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Multiple Choice

Q 44Q 44

If the regression equation is: Y = -4.2 + 3.6 X, then the expected score for Y when X is 4 would be ____.
A) -18.6
B) 10.2
C) 18.6
D) 20.2

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Multiple Choice

Q 45Q 45

Which value provides a common metric allowing regression results to be compared to one another, regardless of what the original scale range may have been?
A) standardized regression coefficient ()
B) 2
C) coefficient of determination (R2)
D) raw parameter estimates

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Multiple Choice

Q 46Q 46

The statistical significance of a regression model is determined using the ____.
A) t-test
B) 2
C) F-test
D) Z-test

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Multiple Choice

Q 47Q 47

Which type of analysis involves three or more variables?
A) univariate statistical analysis
B) bivariate statistical analysis
C) multivariate statistical analysis
D) polyvariate statistical analysis

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Multiple Choice

Q 48Q 48

Multivariate dependence techniques are variants of the ____, which is a way of modeling some process based on how different variables cause fluctuations from the average dependent variable.
A) ordinary linear model (OLM)
B) weighted average model (WAM)
C) general linear model (GLM)
D) metric scaling model (MSM)

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Multiple Choice

Q 49Q 49

When a researcher is attempting to predict sales volume by using building permits, amount of advertising, and the income levels of residents, the researcher is most likely using ____.
A) univariate analysis
B) a chi-square analysis
C) multiple regression analysis
D) factor analysis

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Multiple Choice

Q 50Q 50

A variable that has two distinct levels that are coded as either zero or one is called a(n) ____.
A) regression variable
B) dummy variable
C) MANOVA variable
D) ANOVA variable

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Multiple Choice

Q 51Q 51

Which analysis is portrayed by the equation: Y = b + 1X1 + 2X2 + 3X3... + nXn?
A) simple regression
B) multiple regression
C) chi-square
D) factor analysis

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Multiple Choice

Q 52Q 52

Consider the regression equation: Y = 98.3 +.35X1 + 22.3X2, the predicted value for Y when X1 = 3 and X2 = 5 is ____.
A) 67.23
B) 98.34
C) 118.45
D) 210.85

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Multiple Choice

Q 53Q 53

In the formula df = n - k, k represents the ____.
A) number of observations
B) degrees of freedom of the denominator
C) number of independent variables
D) sample size

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Multiple Choice

Q 54Q 54

Jamal is analyzing data and his current focus centers on how strongly interrelated the independent variables in his model are. Jamal is concerned about ____.
A) multicollinearity
B) MANOVA
C) degrees of freedom
D) convergence

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Multiple Choice

Q 55Q 55

Which of the following is computed by most regression programs and provides an indication of how much multicollinearity exists among a set of independent variables?
A) 2
B)
C) collinear coefficient
D) variance inflation factor (VIF)

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Multiple Choice

Q 56Q 56

In using the t-test to compare the difference between the means of two groups, the formula for determining the degrees of freedom is ____________________.

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Short Answer

Q 57Q 57

An appropriate test for comparing the scores of two interval variables drawn from related populations is the ____________________.

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Q 58Q 58

The null hypothesis when using the Z-test for the differences between the proportions of two groups is that ____________________.

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Q 59Q 59

____________________ is the appropriate test to use when comparing the means of three or more groups to see if they are significantly different from one another.

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Q 61Q 61

The sum of differences between the group mean and the grand mean summed over all groups for a given set of observations is called ____________________.

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Q 62Q 62

The statistical test used to determine whether there is more variability in the scores of one sample than in the scores of another sample is the ____________________.

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Q 63Q 63

The F-test partitions total variance into ____________________ variance and ____________________ variance.

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Q 64Q 64

If the number of coupons given out at shopping malls is used to predict the number of tickets that will be sold to a country and western band's performance at a local club, the number of coupons is the ____________________ variable.

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Q 65Q 65

The test for the statistical significance of the regression model is the ____________________ test.

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Q 66Q 66

Statistical methods that permit the study of three or more variables at the same time are called ____________________ statistical analysis.

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Q 70Q 70

____________________ in regression analysis refers to how strongly interrelated the independent variables in a model are.

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Q 71Q 71

Discuss when a paired-samples t-test is appropriate and give an example of when it should be used.

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Q 73Q 73

What is ANOVA and when is it the appropriate statistical technique? What test is used to determine significance?

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Q 74Q 74

Discuss the pros and cons of raw regression estimates and standardized regression estimates and discuss when each is appropriate.

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