Question 1

What variable is customarily termed y in the regression straight-line equation?
A)Null variable
B)Dependent variable
C)Controlled variable
D)Independent variable

Accepted Answer

The dependent variable is customarily termed y in the regression straight-line equation. It is the variable that is being predicted or explained by the independent variable(s).

Question 2

With multiple regression,you work with a ________ rather than a line.
A)scatter plot
B)bivariate plane
C)regression plane
D)elliptical plane

Accepted Answer

With multiple regression, you work with a regression plane instead of a line. This is because you're working with multiple independent variables, and the relationship between them and the dependent variable can't be accurately represented on a two-dimensional scatter plot or a bivariate plane. Instead, you need to use a three-dimensional regression plane to account for the additional variable.

Question 3

To compute a(intercept)and b(slope),you must work with a number of ________ of the various levels of the dependent variable paired with different levels of the independent variable.
A)observations
B)large samples
C)small samples
D)survey responses

Accepted Answer

To compute the intercept and slope, we need to work with observations of the dependent variable at different levels of the independent variable. These observations can come from a small or large sample, or from survey responses, but ultimately it is the observations that are necessary. Therefore, option A (observations) is the best choice.

Question 4

The ________ is that which is predicted in the regression formula.
A)null variable
B)independent variable
C)controlled variable
D)dependent variable

Accepted Answer

The dependent variable is the one that is predicted in the regression formula, as it is the variable where the outcome or response of interest is observed or measured. The independent variable(s) are the predictor(s) that are used to explain or predict the variation in the dependent variable. The controlled variable(s) are other factors that are held constant or controlled in the analysis to isolate the effect of the independent variable(s) on the dependent variable. The null variable is not a common term in statistics or regression analysis.

Question 5

What variable is customarily termed x in the regression formula?
A)Null variable
B)Dependent variable
C)Independent variable
D)Controlled variable

Accepted Answer

x is customarily termed the independent variable in the regression formula. The dependent variable is typically denoted as y. The controlled variable is a variable that is kept constant in an experiment, and the null variable is not a commonly used term in regression analysis.

Question 6

The researcher and the manager identify,measure,and analyze specific variables that pertain to the ________ model in mind.
A)general conceptual
B)specific conceptual
C)statistical
D)analytical

Accepted Answer

The phrase "general conceptual" model refers to a broad framework that guides the identification, measurement, and analysis of variables in research.

Question 7

What is the type of analysis for the case in which only two variables are involved in the predictive model?
A)Bivariate regression analysis
B)Multivariate regression analysis
C)Analysis of variables
D)Predictive correlation

Accepted Answer

Bivariate regression analysis is used when only two variables are involved in the predictive model.

Question 8

Multiple R ranges from ________ and represents the amount of the dependent variable"explained,"or accounted for,by the combined independent variables.
A)-1.0 to +1.0
B)0 to +1.0
C)0 to +10
D)1.0 to 100.00

Accepted Answer

The answer of Multiple R ranges from ________ and represents...

Question 9

What is the primary term for"coefficient of determination,"a handy measure of the strength of the overall linear relationship?
A)Multiple T
B)Multiple L
C)Multiple C
D)Multiple R

Accepted Answer

The primary term for "coefficient of determination" is Multiple R. It is a measure of the strength of the overall linear relationship in multiple regression analysis.

Question 10

A ________ model identifies independent and dependent variables and shows their expected basic relationships to one another.
A)specific statistical
B)general statistical
C)specific conceptual
D)general conceptual

Accepted Answer

A general conceptual model outlines the expected relationships between independent and dependent variables without specifying the statistical methods to be used.

Question 11

Researchers sometimes refer to bivariate regression as:
A)Dual regression.
B)Simple regression.
C)Complex regression.
D)Non-complex regression.

Accepted Answer

Bivariate regression is also known as simple regression, as it involves modeling the relationship between two variables. Choice A, C, and D are not commonly used terms to refer to bivariate regression.

Question 12

What is a satisfactory method for improving a regression analysis?
A)Use a spiral diagram to identify outlier pairs of points
B)Use a pie chart to identify outlier pairs of points
C)Use a scatter diagram to identify outlier pairs of points
D)Use a cluster diagram to identify outlier pairs of points

Accepted Answer

A scatter diagram is a type of plot used to display the relationship between two variables. By plotting the data points on a scatter diagram, it becomes easier to identify any outlier pairs of points, which can then be excluded or dealt with appropriately. Using a pie chart or a cluster diagram would not be appropriate for identifying outlier pairs of points, and while a spiral diagram could be used for this purpose, it is not a widely recognized or commonly used method.

Question 13

Regression is ________ to correlation by the underlying straight-line relationship.
A)indirectly related
B)not related
C)inversely related
D)directly related

Accepted Answer

Regression is directly related to correlation by the underlying straight-line relationship. Correlation measures the strength and direction of the relationship between two variables, while regression analysis calculates the equation of the straight line that best represents the relationship. Therefore, the two are directly related.

Question 14

What is a way of guaranteeing that the straight line that runs through the points on the scatter diagram is positioned so as to minimize the vertical distances away from the line of the various points?
A)Use of the maximum squares criterion
B)Use of the least squares criterion
C)Use of the greatest squares criterion
D)Use of the minimum squares criterion

Accepted Answer

The best choice is using the least squares criterion. This is a commonly used method for finding the line of best fit in regression analysis. It involves minimizing the sum of the squared differences between the observed values and the predicted values on the line of best fit. This guarantees that the line is positioned to minimize the vertical distances away from the line of the various points.

Question 15

The multiple regression analysis model assumes that a straight-line(plane)relationship exists among the variables,just as in:
A)Bivariate regression analysis.
B)Correlation.
C)Chi-square analysis.
D)Analysis of variables.

Accepted Answer

Multiple regression analysis is an extension of bivariate regression analysis where it assumes a linear relationship between the dependent variable and multiple independent variables. Correlation measures the strength of the association between two variables, but does not assume a linear relationship. Chi-square analysis examines the association between categorical variables. Analysis of variables is not a statistical technique.

Question 16

The ________ is the basis of regression analysis.
A)dual-line equation
B)regression equation
C)straight-line equation
D)variable equation

Accepted Answer

The answer of The ________ is the basis of regression...

Question 17

What is the predictive analysis technique in which one or more variables are used to predict the level of another by use of the straight-line formula?
A)Regression analysis
B)Correlation
C)Analysis of variables
D)Predictive analytics

Accepted Answer

Regression analysis is the technique in which one or more variables are used to predict the level of another by use of the straight-line formula. Correlation measures the strength of a relationship between two variables but does not involve prediction, analysis of variables is not a specific technique, and predictive analytics refers to a broad range of techniques used to make predictions based on data.

Question 18

________ is like a lead indicator of the multiple regression analysis findings since it is one of the first pieces of information provided in a multiple regression output.
A)Multiple R
B)Multiple C
C)Multiple L
D)Multiple T

Accepted Answer

Multiple R is the correlation coefficient between the predicted and actual values of the dependent variable. It gives an overall measure of the strength and direction of the relationship between the independent variables and the dependent variable in the regression model. It is one of the first pieces of information provided in a multiple regression output and is like a lead indicator of the findings.

Question 19

________ is an expansion of bivariate regression analysis in that more than one independent variable is used in the regression equation.
A)Analyses of variables
B)Multiple regression analysis
C)Correlation analysis
D)Chi-square analysis

Accepted Answer

Multiple regression analysis is a statistical technique that involves using more than one independent variable in predicting or explaining a dependent variable. It is an expansion of bivariate regression analysis, which only involves two variables. Multiple regression analysis can help researchers to identify the unique contribution of each independent variable to the dependent variable after controlling for the effects of other variables.

Question 20

________ is a very powerful tool because it tells us what factors are related to the dependent variable,how each factor influences the dependent variable(the sign),and how much each factor influences it(the size of bi).
A)Chi-square analysis
B)Analysis of variables
C)Correlation analysis
D)Multiple regression

Accepted Answer

Multiple regression is a statistical analysis that examines the relationship between a dependent variable and multiple independent variables. It is a powerful tool because it not only tells us what factors are related to the dependent variable, but also how each factor influences the dependent variable (the sign), and how much each factor influences it (the size of bi). Therefore, D, multiple regression, is the best choice.

Quiz 15: Understanding Regression Analysis Basics

What variable is customarily termed y in the regression straight-line equation?

With multiple regression,you work with a ________ rather than a line.

To compute a(intercept) and b(slope) ,you must work with a number of ________ of the various levels of the dependent variable paired with different levels of the independent variable.

The ________ is that which is predicted in the regression formula.

What variable is customarily termed x in the regression formula?

The researcher and the manager identify,measure,and analyze specific variables that pertain to the ________ model in mind.

What is the type of analysis for the case in which only two variables are involved in the predictive model?

Multiple R ranges from ________ and represents the amount of the dependent variable"explained,"or accounted for,by the combined independent variables.

What is the primary term for"coefficient of determination,"a handy measure of the strength of the overall linear relationship?

A ________ model identifies independent and dependent variables and shows their expected basic relationships to one another.

Researchers sometimes refer to bivariate regression as:

What is a satisfactory method for improving a regression analysis?

Regression is ________ to correlation by the underlying straight-line relationship.

What is a way of guaranteeing that the straight line that runs through the points on the scatter diagram is positioned so as to minimize the vertical distances away from the line of the various points?

The multiple regression analysis model assumes that a straight-line(plane) relationship exists among the variables,just as in:

The ________ is the basis of regression analysis.

What is the predictive analysis technique in which one or more variables are used to predict the level of another by use of the straight-line formula?

________ is like a lead indicator of the multiple regression analysis findings since it is one of the first pieces of information provided in a multiple regression output.

________ is an expansion of bivariate regression analysis in that more than one independent variable is used in the regression equation.

________ is a very powerful tool because it tells us what factors are related to the dependent variable,how each factor influences the dependent variable(the sign) ,and how much each factor influences it(the size of bi) .