Question 1

Write the formula for the Pearson product-moment correlation coefficient.

Accepted Answer

$r _ { x y } = \frac { n \Sigma X Y - \sum X \Sigma Y } { \sqrt { \left[ n \sum X ^ { 2 } - ( \Sigma X ) ^ { 2 } \right] \left[ n \Sigma Y ^ { 2 } - ( \Sigma Y ) ^ { 2 } \right] } }$

Question 2

If you constrain, or restrict, the range of one variable, what effect does this have on the correlation of that variable with another variable?

Accepted Answer

It will reduce the correlation between the two variables.

Question 3

What would you use to represent a correlation visually?

Accepted Answer

A)  Histogram 
B)  Polygon 
C)  Line graph 
D)  Scatterplot 
A)  Histogram 
B)  Polygon 
C)  Line graph 
D)  Scatterplot D

Question 4

Which of the following correlations would be interpreted as a weak relationship?

Accepted Answer

A)  .26 
B)  .46 
C)  .66 
D)  .86 
A)  .26 
B)  .46 
C)  .66 
D)  .86

Question 5

List the steps in computing the Pearson product-moment correlation as outlined in the text.

Accepted Answer

List the two values for each participant

Question 6

If the coefficient of determination between two variables is .49, how strong is the relationship? Why?

Accepted Answer

The correlation woul

Question 7

The correlation between variable X and variable Y is represented by which of the following?

Accepted Answer

A)  R(xy)² 
B)  r?? 
C)  r???? 
D)  R?/? 
A)  R(xy)² 
B)  r?? 
C)  r???? 
D)  R?/?

Question 8

A correlation coefficient can range in value. Which of the following illustrates this range?

Accepted Answer

A)  -.01 to .01 
B)  -1.0 to 1.0 
C)  -2.0 to 2.0 
D)  -3.0 to 3.0 
A)  -.01 to .01 
B)  -1.0 to 1.0 
C)  -2.0 to 2.0 
D)  -3.0 to 3.0

Question 9

If the coefficient of determination between two variables is .81, what is the coefficient of alienation?

Accepted Answer

A)  .19 
B)  .34 
C)  .66 
D)  .90 
A)  .19 
B)  .34 
C)  .66 
D)  .90

Question 10

If the correlation between variables is .80, what is the coefficient of determination?

Accepted Answer

The coefficient of d

Question 11

How do you determine the coefficient of determination and the coefficient of alienation?

Accepted Answer

The coefficient of determinati

Question 12

If variables change in the opposite direction, what type of correlation is this called?

Accepted Answer

A)  Positive correlation 
B)  Negative correlation 
C)  Positive causation 
D)  Negative causation 
A)  Positive correlation 
B)  Negative correlation 
C)  Positive causation 
D)  Negative causation

Question 13

Which of the following correlations would be interpreted as a strong relationship?

Accepted Answer

A)  .39 
B)  .59 
C)  .79 
D)  .89 
A)  .39 
B)  .59 
C)  .79 
D)  .89

Question 14

Which of the following refers to a correlation between two variables?

Accepted Answer

A)  Bicorrelate 
B)  Bivariate 
C)  Two-way variance 
D)  Two-way analysis 
A)  Bicorrelate 
B)  Bivariate 
C)  Two-way variance 
D)  Two-way analysis

Question 15

If you wanted to compute the correlation between two ordinal-level variables, which type of correlation should you use?

Accepted Answer

A)  Point biserial 
B)  Phi 
C)  Spearman rank 
D)  Pearson 
A)  Point biserial 
B)  Phi 
C)  Spearman rank 
D)  Pearson

Question 16

What does a correlation coefficient represent?

Accepted Answer

A correlation coefficient refl

Question 17

Which of the following represent the Excel function to be used when computing correlation coefficients?

Accepted Answer

A)  CORREL(A:10; B:10) 
B)  CORREL(A:1-10; B:1-10) 
C)  CORREL(A1:A10; B1:B10) 
D)  CORREL(A10:B10) 
A)  CORREL(A:10; B:10) 
B)  CORREL(A:1-10; B:1-10) 
C)  CORREL(A1:A10; B1:B10) 
D)  CORREL(A10:B10)

Question 18

When interested in examining how one variable changes in relation to another, which of the following descriptive statistics would you want to use?

Accepted Answer

A)  Mean 
B)  Variance 
C)  Correlation 
D)  Standard deviation 
A)  Mean 
B)  Variance 
C)  Correlation 
D)  Standard deviation

Question 19

Who is responsible for the invention of the Pearson product-moment correlation coefficient?

Accepted Answer

A)  Pearson Fisher 
B)  Karl Pearson 
C)  Karl Fisher 
D)  Fisher Pearson 
A)  Pearson Fisher 
B)  Karl Pearson 
C)  Karl Fisher 
D)  Fisher Pearson

Question 20

If the correlation between variables is .70, what percent of the variance is shared variance?

Accepted Answer

The shared

Write the formula for the Pearson product-moment correlation coefficient.

If you constrain, or restrict, the range of one variable, what effect does this have on the correlation of that variable with another variable?

What would you use to represent a correlation visually?

Which of the following correlations would be interpreted as a weak relationship?

List the steps in computing the Pearson product-moment correlation as outlined in the text.

If the coefficient of determination between two variables is .49, how strong is the relationship? Why?

The correlation between variable X and variable Y is represented by which of the following?

A correlation coefficient can range in value. Which of the following illustrates this range?

If the coefficient of determination between two variables is .81, what is the coefficient of alienation?

If the correlation between variables is .80, what is the coefficient of determination?

How do you determine the coefficient of determination and the coefficient of alienation?

If variables change in the opposite direction, what type of correlation is this called?

Which of the following correlations would be interpreted as a strong relationship?

Which of the following refers to a correlation between two variables?

If you wanted to compute the correlation between two ordinal-level variables, which type of correlation should you use?

What does a correlation coefficient represent?

Which of the following represent the Excel function to be used when computing correlation coefficients?

When interested in examining how one variable changes in relation to another, which of the following descriptive statistics would you want to use?

Who is responsible for the invention of the Pearson product-moment correlation coefficient?

If the correlation between variables is .70, what percent of the variance is shared variance?

Statistics or Sadistics? It’s Up to You

Means to an End: Computing and Understanding Averages

Vive La Différence: Understanding Variability

A Picture Really Is Worth a Thousand Words

Just the Truth: An Introduction to Understanding Reliability and Validity

Hypotheticals and You: Testing Your Questions

Are Your Curves Normal? Probability and Why It Counts

Significantly Significant: What It Means for You and Me

Only the Lonely

t(ea) for Two (Again): Tests Between the Means of Related Groups

t(ea) for Two (Again): Tests Between the Means of Related Groups

Two Groups Too Many? Try Analysis of Variance

Two Too Many Factors: Factorial Analysis of Variance

Cousins or Just Good Friends? Testing Relationships Using the Correlation Coefficient

Predicting Who’ll Win the Super Bowl: Using Linear Regression

What to Do When You’re Not Normal: Chi-Square and Some Other Nonparametric Tests

Some Other (Important) Statistical Procedures You Should Know About

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Exam 5: Ice Cream and Crime: Computing Correlation Coefficients

Write the formula for the Pearson product-moment correlation coefficient.

If you constrain, or restrict, the range of one variable, what effect does this have on the correlation of that variable with another variable?

What would you use to represent a correlation visually?

Which of the following correlations would be interpreted as a weak relationship?

List the steps in computing the Pearson product-moment correlation as outlined in the text.

If the coefficient of determination between two variables is .49, how strong is the relationship? Why?

The correlation between variable X and variable Y is represented by which of the following?

A correlation coefficient can range in value. Which of the following illustrates this range?

If the coefficient of determination between two variables is .81, what is the coefficient of alienation?

If the correlation between variables is .80, what is the coefficient of determination?

How do you determine the coefficient of determination and the coefficient of alienation?

If variables change in the opposite direction, what type of correlation is this called?

Which of the following correlations would be interpreted as a strong relationship?

Which of the following refers to a correlation between two variables?

If you wanted to compute the correlation between two ordinal-level variables, which type of correlation should you use?

What does a correlation coefficient represent?

Which of the following represent the Excel function to be used when computing correlation coefficients?

When interested in examining how one variable changes in relation to another, which of the following descriptive statistics would you want to use?

Who is responsible for the invention of the Pearson product-moment correlation coefficient?

If the correlation between variables is .70, what percent of the variance is shared variance?

Statistics or Sadistics? It’s Up to You

Means to an End: Computing and Understanding Averages

Vive La Différence: Understanding Variability

A Picture Really Is Worth a Thousand Words

Just the Truth: An Introduction to Understanding Reliability and Validity

Hypotheticals and You: Testing Your Questions

Are Your Curves Normal? Probability and Why It Counts

Significantly Significant: What It Means for You and Me

Only the Lonely

t(ea) for Two (Again): Tests Between the Means of Related Groups

t(ea) for Two (Again): Tests Between the Means of Related Groups

Two Groups Too Many? Try Analysis of Variance

Two Too Many Factors: Factorial Analysis of Variance

Cousins or Just Good Friends? Testing Relationships Using the Correlation Coefficient

Predicting Who’ll Win the Super Bowl: Using Linear Regression

What to Do When You’re Not Normal: Chi-Square and Some Other Nonparametric Tests

Some Other (Important) Statistical Procedures You Should Know About

Filters