C784 MODULE 6: CORRELATION &
REGRESSION EXAM QUESTIONS
WITH COMPLETE SOLUTIONS RATED
A+
lurking variable - ANSWERSA variable that is not included in an analysis but that is
related to two (or more) other associated variables which were analyzed.
simple linear regression - ANSWERSthe prediction of one response variable's value
from one explanatory variable's value
Simpson's Paradox - ANSWERSA counterintuitive situation in which a trend in different
groups of data disappears or reverses when the groups are combined.
degree - ANSWERSThe largest exponent in a mathematical expression or equation.
causation - ANSWERSA relationship of cause and effect between two or more
variables.
linear interpolation - ANSWERSEstimation using the linear regression equation is
between known data points.
association - ANSWERSA pattern or relationship between two variables.
coordinate plane - ANSWERSA tool for graphing consisting of a horizontal x-axis and a
vertical y-axis.
regression equation - ANSWERSAn equation used to model the relationship between
two quantitative dependent and independent variables.
scatterplot - ANSWERSA graph that uses dots on a coordinate plane to show the
relationship between variables.
Regression Analysis - ANSWERSa statistical tool that quantifies the relationship betwn
a response variable and one or more explanatory variables
least squares - ANSWERSA technique for finding the regression line.
slope-intercept form - ANSWERSA common format for the equation of a line: y = mx +
b, where m is the slope and b is the y-intercept.
, regression line - ANSWERSThe line of best fit to show the relationship between
variables, the one that minimizes distance from each data point to the line.
A linear regression equation takes the following form:
y = mx^2 + b. True or False? - ANSWERSfalse.
This is not the form that a linear regression equation takes.
Linear regression is always of degree 1, so the exponent of 2 associated with the x
makes this a non-linear equation.
A linear regression "best-fit-line" can be estimated using least squares. True or False? -
ANSWERStrue.
Least squares estimation is the most common technique used to estimate the best-fit-
line in linear regression.
Linear extrapolation is always a reliable method of prediction. True or False? -
ANSWERSfalse.
Extrapolation assumes that the linear pattern of the data will continue outside of the
range of data points. This may not always be the case and therefore may not always be
a reliable method of prediction.
Linear interpolation is a technique used to make a prediction that falls between known
data points. True or False? - ANSWERStrue.
Linear interpolation is a technique used to make a prediction that falls between known
data points, using the linear regression equation.
Least squares estimation is a technique for predicting future data values. True or False?
- ANSWERSfalse. Least squares estimation is a technique used to estimate the best-fit-
line in linear regression.
EXTRAPOLATE - ANSWERSUsing information from a data set to make predictions
about data outside of the original set.
POPULATION - ANSWERSAn entire pool from which a sample is drawn.
SAMPLE SIZE - ANSWERSStatistics: the number of individuals measured or observed
in a study.
Probability: number of possible outcomes in a trial or experiment.
Extrapolation is always inappropriate. True or False? - ANSWERSfalse.
REGRESSION EXAM QUESTIONS
WITH COMPLETE SOLUTIONS RATED
A+
lurking variable - ANSWERSA variable that is not included in an analysis but that is
related to two (or more) other associated variables which were analyzed.
simple linear regression - ANSWERSthe prediction of one response variable's value
from one explanatory variable's value
Simpson's Paradox - ANSWERSA counterintuitive situation in which a trend in different
groups of data disappears or reverses when the groups are combined.
degree - ANSWERSThe largest exponent in a mathematical expression or equation.
causation - ANSWERSA relationship of cause and effect between two or more
variables.
linear interpolation - ANSWERSEstimation using the linear regression equation is
between known data points.
association - ANSWERSA pattern or relationship between two variables.
coordinate plane - ANSWERSA tool for graphing consisting of a horizontal x-axis and a
vertical y-axis.
regression equation - ANSWERSAn equation used to model the relationship between
two quantitative dependent and independent variables.
scatterplot - ANSWERSA graph that uses dots on a coordinate plane to show the
relationship between variables.
Regression Analysis - ANSWERSa statistical tool that quantifies the relationship betwn
a response variable and one or more explanatory variables
least squares - ANSWERSA technique for finding the regression line.
slope-intercept form - ANSWERSA common format for the equation of a line: y = mx +
b, where m is the slope and b is the y-intercept.
, regression line - ANSWERSThe line of best fit to show the relationship between
variables, the one that minimizes distance from each data point to the line.
A linear regression equation takes the following form:
y = mx^2 + b. True or False? - ANSWERSfalse.
This is not the form that a linear regression equation takes.
Linear regression is always of degree 1, so the exponent of 2 associated with the x
makes this a non-linear equation.
A linear regression "best-fit-line" can be estimated using least squares. True or False? -
ANSWERStrue.
Least squares estimation is the most common technique used to estimate the best-fit-
line in linear regression.
Linear extrapolation is always a reliable method of prediction. True or False? -
ANSWERSfalse.
Extrapolation assumes that the linear pattern of the data will continue outside of the
range of data points. This may not always be the case and therefore may not always be
a reliable method of prediction.
Linear interpolation is a technique used to make a prediction that falls between known
data points. True or False? - ANSWERStrue.
Linear interpolation is a technique used to make a prediction that falls between known
data points, using the linear regression equation.
Least squares estimation is a technique for predicting future data values. True or False?
- ANSWERSfalse. Least squares estimation is a technique used to estimate the best-fit-
line in linear regression.
EXTRAPOLATE - ANSWERSUsing information from a data set to make predictions
about data outside of the original set.
POPULATION - ANSWERSAn entire pool from which a sample is drawn.
SAMPLE SIZE - ANSWERSStatistics: the number of individuals measured or observed
in a study.
Probability: number of possible outcomes in a trial or experiment.
Extrapolation is always inappropriate. True or False? - ANSWERSfalse.
