Deck 5: Ice Cream and Crime: Computing Correlation Coefficients

Question 1

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

A) .80
B) .70
C) .60
D) .50

Answer 1

A

Question 2

Which of the following is a measure of central tendency?

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

Answer 2

A

Question 3

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

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

Answer 3

C

Question 4

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

A) R(xy)²
B) r??
C) r????
D) R?/?

Question 5

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

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

Question 6

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

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

Question 7

What would you use to represent a correlation visually?

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

Question 8

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

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

Question 9

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

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

Question 10

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

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 11

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

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

Question 12

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

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

Question 13

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

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

Question 14

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

A) .25
B) .35
C) .45
D) .65

Question 15

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

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

Question 16

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

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

Question 17

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

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

Question 18

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

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

Question 19

When data points group together in a cluster from the lower left-hand side of the xy axis to the upper right-hand side, what is this?

A) Negative slope
B) Positive slope
C) Negative intercept
D) Positive intercept

Question 20

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

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

Question 21

What does a correlation coefficient represent?

Question 22

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

Question 23

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

Question 24

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

Question 25

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

Question 26

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

Question 27

If the correlation between variables is .60, what is the coefficient of alienation?

Question 28

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

Question 29

If the correlation between variables is .70, what percent of the variance is not shared variance?

Question 30

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