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Linear Regression

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CH 7 - Linear Regression
1. _____ is a statistical procedure used to develop an equation showing how two variables are related.
a. Regression analysis b. Data mining
c. Time series analysis d. Factor analysis
ANSWER: a
RATIONALE: Regression analysis is a statistical procedure used to develop an equation showing how
variables are related.
POINTS: 1
DIFFICULTY: Easy
REFERENCES: SIMPLE LINEAR REGRESSION MODEL, Page 296
NATIONAL STANDARDS: United States - BUSPROG: Analytic
KEYWORDS: Bloom’s: Knowledge

2. A regression analysis involving one independent variable and one dependent variable is referred to as a
a. factor analysis. b. time series analysis.
c. simple linear regression. d. data mining.
ANSWER: c
RATIONALE: A regression analysis involving one independent variable and one dependent variable is
referred to as a simple linear regression.
POINTS: 1
DIFFICULTY: Easy
REFERENCES: SIMPLE LINEAR REGRESSION MODEL, Page 297
NATIONAL STANDARDS: United States - BUSPROG: Analytic
KEYWORDS: Bloom’s: Knowledge

3. The population parameters that describe the y-intercept and slope of the line relating y and x, respectively, are
a. .
b. y and x.
c. a and b.
d. a and B.
ANSWER: a
RATIONALE: The population parameters that describe the y-intercept and slope of the line relating y and x,
respectively, are .
POINTS: 1
DIFFICULTY: Easy
REFERENCES: SIMPLE LINEAR REGRESSION MODEL, Page 297
NATIONAL STANDARDS: United States - BUSPROG: Analytic
KEYWORDS: Bloom’s: Knowledge

4. In a simple linear regression model, y = ß0 + ß1x + ε B1 represents the
a. intercept. b. slope of the true regression line.
c. mean value of x. d. error term.
ANSWER: b
RATIONALE: β0, read “beta zero”, is the intercept parameter; and β1, read “beta one” is the parameter the
represents the slope of the true regression line.
Copyright Cengage Learning. Powered by Cognero. Page 1

,CH 7 - Linear Regression
POINTS: 1
DIFFICULTY: Easy
REFERENCES: THE SIMPLE LINEAR REGRESSION MODEL, Page 297
NATIONAL STANDARDS: United States - BUSPROG: Analytic
KEYWORDS: Bloom’s: Knowledge

5. In the simple linear regression model, the ____________ accounts for the variability in the dependent variable that
cannot be explained by the linear relationship between the variables.
a. constant term b. error term
c. model parameter d. residual
ANSWER: b
RATIONALE: In the simple linear regression model, the error term accounts for the variability in the
dependent variable that cannot be explained by the linear relationship between the variables.
POINTS: 1
DIFFICULTY: Easy
REFERENCES: SIMPLE LINEAR REGRESSION MODEL, Page 297
NATIONAL STANDARDS: United States - BUSPROG: Analytic
KEYWORDS: Bloom’s: Knowledge

6. In a linear regression model, the variable that is being predicted or explained is known as _____________. It is denoted
by y and is often referred to as the response variable.
a. dependent variable
b. independent variable
c. residual variable
d. regression variable
ANSWER: a
RATIONALE: Dependent variable is the variable that is being predicted or explained. It is denoted by y and
is often referred to as the response variable.
POINTS: 1
DIFFICULTY: Moderate
REFERENCES: THE SIMPLE LINEAR REGRESSION MODEL, Page 297
NATIONAL STANDARDS: United States - BUSPROG: Analytic
KEYWORDS: Bloom’s: Knowledge

7. The graph of the simple linear regression equation is a(n)
a. ellipse. b. hyperbola.
c. parabola. d. straight line.
ANSWER: d
RATIONALE: The graph of the simple linear regression equation is a straight line.
POINTS: 1
DIFFICULTY: Easy
REFERENCES: SIMPLE LINEAR REGRESSION MODEL, Page 297
NATIONAL STANDARDS: United States - BUSPROG: Analytic
KEYWORDS: Bloom’s: Knowledge

Copyright Cengage Learning. Powered by Cognero. Page 2

,CH 7 - Linear Regression
8. In the graph of the simple linear regression equation, the parameter represents the ___________ of the regression
line.
a. slope b. x-intercept
c. y-intercept d. end-point
ANSWER: c
RATIONALE: In the graph of the simple linear regression equation, the parameter is the y-intercept of the
regression line.
POINTS: 1
DIFFICULTY: Easy
REFERENCES: SIMPLE LINEAR REGRESSION MODEL, Page 297
NATIONAL STANDARDS: United States - BUSPROG: Analytic
KEYWORDS: Bloom’s: Knowledge

9. In the graph of the simple linear regression equation, the parameter is the ___________ of the regression line.
a. slope b. x-intercept
c. y-intercept d. end-point
ANSWER: a
RATIONALE: In the graph of the simple linear regression equation, the parameter is the slope of the
regression line.
POINTS: 1
DIFFICULTY: Easy
REFERENCES: SIMPLE LINEAR REGRESSION MODEL, Page 297
NATIONAL STANDARDS: United States - BUSPROG: Analytic
KEYWORDS: Bloom’s: Knowledge

10. In a linear regression model, the variable (or variables) used for predicting or explaining values of the response
variable are known as the ________________. It(they) is(are) denoted by x.
a. dependent variable b. independent variable
c. residual variable d. regression variable
ANSWER: b
RATIONALE: The independent variable(s) is the variable (or variables) used for predicting or explaining
values of the response variable. It(they) is(are) denoted by x.
POINTS: 1
DIFFICULTY: Moderate
REFERENCES: THE SIMPLE LINEAR REGRESSION MODEL, Page 297
NATIONAL STANDARDS: United States - BUSPROG: Analytic
KEYWORDS: Bloom’s: Knowledge

11. In a simple linear regression analysis the quantity that gives the amount by which the dependent variable changes for a
unit change in the independent variable is called the
a. coefficient of determination. b. slope of the regression line.
c. correlation coefficient. d. standard error.
ANSWER: b
RATIONALE: In a simple linear regression analysis the slope of the regression line gives the amount by
which the dependent variable changes for a unit change in the independent variable.
Copyright Cengage Learning. Powered by Cognero. Page 3

, CH 7 - Linear Regression
POINTS: 1
DIFFICULTY: Moderate
REFERENCES: LEAST SQUARES METHOD, Page 298
NATIONAL STANDARDS: United States - BUSPROG: Analytic
KEYWORDS: Bloom’s: Knowledge

12. A ___________ is used to visualize sample data graphically and to draw preliminary conclusions about the possible
relationship between the variables.
a. contingency table b. scatter chart
c. Gantt chart d. pie chart
ANSWER: b
RATIONALE: A scatter chart is used to visualize sample data graphically and to draw preliminary
conclusions about the possible relationship between the variables.
POINTS: 1
DIFFICULTY: Easy
REFERENCES: LEAST SQUARES METHOD, Page 299
NATIONAL STANDARDS: United States - BUSPROG: Analytic
KEYWORDS: Bloom’s: Knowledge

13. A procedure for using sample data to find the estimated regression equation is
a. point estimation. b. interval estimation.
c. the least squares method. d. extrapolation.
ANSWER: c
RATIONALE: The least squares method is a procedure for using sample data to find the estimated regression
equation.
POINTS: 1
DIFFICULTY: Moderate
REFERENCES: LEAST SQUARES METHOD, Page 299
NATIONAL STANDARDS: United States - BUSPROG: Analytic
KEYWORDS: Bloom’s: Knowledge

14. When the mean value of the dependent variable is independent of variation in the independent variable, the slope of
the regression line is
a. positive. b. zero.
c. negative. d. infinite.
ANSWER: b
RATIONALE: When the mean value of the dependent variable is independent of the variation in the
independent variable, the slope of the regression line is zero.
POINTS: 1
DIFFICULTY: Moderate
REFERENCES: LEAST SQUARES METHOD, Page 301
NATIONAL STANDARDS: United States - BUSPROG: Analytic
KEYWORDS: Bloom’s: Comprehension

15. The difference between the observed value of the dependent variable and the value predicted using the estimated
Copyright Cengage Learning. Powered by Cognero. Page 4

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