Question 1

Which of the following statistics is a measure of the amount of variance accounted for between two variables?

Accepted Answer

A)  Standard deviation 
B)  r2 
C)  r 
D)  SEE 
A)  Standard deviation 
B)  r2 
C)  r 
D)  SEE

Question 2

Which symbol is commonly used to indicate a Pearson product-moment correlation coefficient?

Accepted Answer

A)  r 
B)  s 
C)  P 
D)  C 
A)  r 
B)  s 
C)  P 
D)  C

Question 3

Intelligence and strength

Accepted Answer

A)  if r would be definitely positive. 
B)  if r would be definitely negative. 
C)  if r would be 0 or nearly 0. 
A)  if r would be definitely positive. 
B)  if r would be definitely negative. 
C)  if r would be 0 or nearly 0.

Question 4

Estimate the correlation from the following data. Do not calculate the Pearson product-moment correlation coefficient. $\begin{array}{ll}
X & Y \
10 & 30 \
2 & 50 \
6 & 40 \
4 & 45 \
8 & 35
\end{array}$

Accepted Answer

A)  .00 
B)  1.00 
C)  -.70 
D)  -1.00 
E)  It is curvilinear. 
A)  .00 
B)  1.00 
C)  -.70 
D)  -1.00 
E)  It is curvilinear.

Question 5

If the mean and standard deviation for grade point average are 2.0 and .5, respectively, the mean and standard deviation for weight are 100 and 20 respectively, and the r between GPA and weight is .00, what would be the best prediction of GPA for a person weighing 120 pounds?

Accepted Answer

A)  1.5 
B)  2.0 
C)  2.5 
D)  Need to know error of estimate data 
A)  1.5 
B)  2.0 
C)  2.5 
D)  Need to know error of estimate data

Question 6

If there is a negative correlation between leg strength scores and the time to run a 50-yard dash, what run times are associated with high leg strength scores?

Accepted Answer

A)  Slow times 
B)  Fast times 
C)  Either fast or slow times 
D)  It depends on the variability of the scores 
A)  Slow times 
B)  Fast times 
C)  Either fast or slow times 
D)  It depends on the variability of the scores

Question 7

Which of the following is/are true if predicting Y from X?

Accepted Answer

A)  The magnitude of the correlation reflects error. 
B)  The magnitude of the standard error reflects accuracy. 
C)  he direction of the correlation reflects accuracy. 
D)  Two of the above are true. 
E)  All of the above (A, B, and C 
A)  The magnitude of the correlation reflects error. 
B)  The magnitude of the standard error reflects accuracy. 
C)  he direction of the correlation reflects accuracy. 
D)  Two of the above are true. 
E)  All of the above (A, B, and C

Question 8

Which of the following is the primary purpose of correlational research?

Accepted Answer

A)  To study individual situations in depth 
B)  To study disease rates in the population 
C)  To combine and quantify past research reports 
D)  To study the relationships among variables 
A)  To study individual situations in depth 
B)  To study disease rates in the population 
C)  To combine and quantify past research reports 
D)  To study the relationships among variables

Question 9

What does a correlation coefficient describe about the relationship between two variables?

Accepted Answer

A)  The variability and strength 
B)  The variability and direction 
C)  The mean and variability 
D)  The direction and strength 
A)  The variability and strength 
B)  The variability and direction 
C)  The mean and variability 
D)  The direction and strength

Question 10

A simple regression formula for predicting weight in pounds from height in inches is Ŷ= 1.6X + 60. What is the slope of the regression line to predict weight from height?

Accepted Answer

A)  60 
B)  61.6 
C)  37.5 
D)  Positive 
A)  60 
B)  61.6 
C)  37.5 
D)  Positive

Question 11

If a test of athletic ability has a .12 correlation coefficient with batting average in baseball, how well does the test predict batting success?

Accepted Answer

A)  Extremely well 
B)  Very well 
C)  Moderately well 
D)  Not very well 
A)  Extremely well 
B)  Very well 
C)  Moderately well 
D)  Not very well

Question 12

Describe the general relationship between the coefficient of determination and the SEE.

Accepted Answer

A)  It can be high or it can be low, depending on the situation. 
B)  They are inversely (negatively) related. 
C)  They are directly (positively) related. 
D)  There is no relationship between them. 
E)  Impossible to determine without knowing the correlation coefficient. 
A)  It can be high or it can be low, depending on the situation. 
B)  They are inversely (negatively) related. 
C)  They are directly (positively) related. 
D)  There is no relationship between them. 
E)  Impossible to determine without knowing the correlation coefficient.

Question 13

How much of the variance in final exam scores is accounted for by the variance in Exam 1's scores, if the coefficient between the two exams is .45?

Accepted Answer

A)  .20 
B)  .45 
C)  .67 
D)  Depends on sample size 
A)  .20 
B)  .45 
C)  .67 
D)  Depends on sample size

Question 14

What conclusion should be drawn if the correlation coefficient between a physical fitness test and a rating of basketball playing ability is .90?

Accepted Answer

A)  People who are physically fit will be successful in playing basketball. 
B)  Playing basketball develops physical fitness. 
C)  Physical fitness is necessary to be successful in playing basketball. 
D)  Basketball playing ability and physical fitness are strongly associated. 
A)  People who are physically fit will be successful in playing basketball. 
B)  Playing basketball develops physical fitness. 
C)  Physical fitness is necessary to be successful in playing basketball. 
D)  Basketball playing ability and physical fitness are strongly associated.

Question 15

What is the standard deviation of the residuals resulting from predicting Y scores from X scores?

Accepted Answer

A)  Zero 
B)  One 
C)  SEM 
D)  SEE 
A)  Zero 
B)  One 
C)  SEM 
D)  SEE

Question 16

Using the following data, if each of the five Y scores were multiplied by 3.5, what would be the effect on the calculated r? $\begin{array}{llllll}
\text { Subject } & X & Y & X^{2} & Y^{2} & X Y \
1 & 8 & 7 & 64 & 49 & 56 \
2 & 9 & 10 & 81 & 100 & 90 \
3 & 3 & 5 & 9 & 25 & 15 \
4 & 4 & 5 & 16 & 25 & 20 \
5 & \underline{1} & \underline{3} & \underline{1} & \underline{9} & \underline{3} \
\Sigma & 25 & 30 & 171 & 208 & 184
\end{array}$

Accepted Answer

A)  It would remain the same. 
B)  It would increase. 
C)  It would decrease. 
D)  It would depend on the shape of the distribution. 
A)  It would remain the same. 
B)  It would increase. 
C)  It would decrease. 
D)  It would depend on the shape of the distribution.

Question 17

If the regression equation Ŷ= .25X + 12 was plotted, what shape would it take, and where would it cross the Y axis?

Accepted Answer

A)  Curvilinear, at Y=.25 
B)  Curvilinear, at Y=12 
C)  Linear, at Y=.25 
D)  Linear, at Y=12 
A)  Curvilinear, at Y=.25 
B)  Curvilinear, at Y=12 
C)  Linear, at Y=.25 
D)  Linear, at Y=12

Question 18

Refer to the boxes below, which represent variation in performance, to answer this question: Which test has the smallest SEE?

Accepted Answer

A)  A 
B)  B 
C)  C 
D)  D 
E)  It is impossible to determine. 
A)  A 
B)  B 
C)  C 
D)  D 
E)  It is impossible to determine.

Question 19

Refer to the boxes below, which represent variation in performance, to answer this question: Which test battery would you probably NOT use?

Accepted Answer

A)  A 
B)  B 
C)  C 
D)  D 
E)  It is impossible to determine. 
A)  A 
B)  B 
C)  C 
D)  D 
E)  It is impossible to determine.

Question 20

Which of the following r's has the LEAST predictive power?

Accepted Answer

A)  -.11 
B)  -.45 
C)  .23 
D)  .95 
A)  -.11 
B)  -.45 
C)  .23 
D)  .95

Which of the following statistics is a measure of the amount of variance accounted for between two variables?

Which symbol is commonly used to indicate a Pearson product-moment correlation coefficient?

Intelligence and strength

Estimate the correlation from the following data. Do not calculate the Pearson product-moment correlation coefficient. X Y 10 30 2 50 6 40 4 45 8 35

If the mean and standard deviation for grade point average are 2.0 and .5, respectively, the mean and standard deviation for weight are 100 and 20 respectively, and the r between GPA and weight is .00, what would be the best prediction of GPA for a person weighing 120 pounds?

If there is a negative correlation between leg strength scores and the time to run a 50-yard dash, what run times are associated with high leg strength scores?

Which of the following is/are true if predicting Y from X?

Which of the following is the primary purpose of correlational research?

What does a correlation coefficient describe about the relationship between two variables?

A simple regression formula for predicting weight in pounds from height in inches is Ŷ= 1.6X + 60. What is the slope of the regression line to predict weight from height?

If a test of athletic ability has a .12 correlation coefficient with batting average in baseball, how well does the test predict batting success?

Describe the general relationship between the coefficient of determination and the SEE.

How much of the variance in final exam scores is accounted for by the variance in Exam 1's scores, if the coefficient between the two exams is .45?

What conclusion should be drawn if the correlation coefficient between a physical fitness test and a rating of basketball playing ability is .90?

What is the standard deviation of the residuals resulting from predicting Y scores from X scores?

Using the following data, if each of the five Y scores were multiplied by 3.5, what would be the effect on the calculated r? Subject X Y XY 1 8 7 64 49 56 2 9 10 81 100 90 3 3 5 9 25 15 4 4 5 16 25 20 5 \Sigma 25 30 171 208 184

If the regression equation Ŷ= .25X + 12 was plotted, what shape would it take, and where would it cross the Y axis?

Refer to the boxes below, which represent variation in performance, to answer this question: Which test has the smallest SEE?

Refer to the boxes below, which represent variation in performance, to answer this question: Which test battery would you probably NOT use?

Which of the following r's has the LEAST predictive power?

Research Methods

Introduction to Measurement and Statistics

Descriptive Statistics

The Normal Curve and Standard Scores

Introduction to Inferential Statistics

Two-Sample T-Test

Issues in Inferential Statistics

One-Way Between-Groups Anova

One-Way Within-Groups Anova

Factorial Anova

Multivariate Anova Manova

Advanced Statistics

Nonparametric Statistics

Filters

Exam 5: Correlation and Regression

Which of the following statistics is a measure of the amount of variance accounted for between two variables?

Which symbol is commonly used to indicate a Pearson product-moment correlation coefficient?

Intelligence and strength

Estimate the correlation from the following data. Do not calculate the Pearson product-moment correlation coefficient. X Y 10 30 2 50 6 40 4 45 8 35

If the mean and standard deviation for grade point average are 2.0 and .5, respectively, the mean and standard deviation for weight are 100 and 20 respectively, and the r between GPA and weight is .00, what would be the best prediction of GPA for a person weighing 120 pounds?

If there is a negative correlation between leg strength scores and the time to run a 50-yard dash, what run times are associated with high leg strength scores?

Which of the following is/are true if predicting Y from X?

Which of the following is the primary purpose of correlational research?

What does a correlation coefficient describe about the relationship between two variables?

A simple regression formula for predicting weight in pounds from height in inches is Ŷ= 1.6X + 60. What is the slope of the regression line to predict weight from height?

If a test of athletic ability has a .12 correlation coefficient with batting average in baseball, how well does the test predict batting success?

Describe the general relationship between the coefficient of determination and the SEE.

How much of the variance in final exam scores is accounted for by the variance in Exam 1's scores, if the coefficient between the two exams is .45?

What conclusion should be drawn if the correlation coefficient between a physical fitness test and a rating of basketball playing ability is .90?

What is the standard deviation of the residuals resulting from predicting Y scores from X scores?

Using the following data, if each of the five Y scores were multiplied by 3.5, what would be the effect on the calculated r? Subject X Y XY 1 8 7 64 49 56 2 9 10 81 100 90 3 3 5 9 25 15 4 4 5 16 25 20 5 \Sigma 25 30 171 208 184

If the regression equation Ŷ= .25X + 12 was plotted, what shape would it take, and where would it cross the Y axis?

Refer to the boxes below, which represent variation in performance, to answer this question: Which test has the smallest SEE?

Refer to the boxes below, which represent variation in performance, to answer this question: Which test battery would you probably NOT use?

Which of the following r's has the LEAST predictive power?

Research Methods

Introduction to Measurement and Statistics

Descriptive Statistics

The Normal Curve and Standard Scores

Introduction to Inferential Statistics

Two-Sample T-Test

Issues in Inferential Statistics

One-Way Between-Groups Anova

One-Way Within-Groups Anova

Factorial Anova

Multivariate Anova Manova

Advanced Statistics

Nonparametric Statistics

Filters