Question 1

The assumption that there is an equal variance or scatter of data points dispersed along the regression line is referred to as

Accepted Answer

A)  normality
B)  linearity
C)  homoscedasticity
D)  restriction of rangeE) A) and C)
F) A) and D)

Question 2

Correlation does not show causation.

Accepted Answer

A) True 
 B)False

Question 3

If r = 0.026 and df = 10,then t = 7.20.

Accepted Answer

A) True 
 B)False

Question 4

To summarize correlations,we report:

Accepted Answer

A)  the strength of the correlation
B)  the direction of the correlation
C)  the p value
D)  all of the aboveE) None of the above
F) A) and B)

Question 5

Which of the following is a limitation for interpreting a correlation?

Accepted Answer

A)  Correlations do not demonstrate cause-and-effect.
B)  Outliers can change the direction and/or strength of the correlation.
C)  Conclusions should not be drawn beyond the range of scores measured.
D)  all of the aboveE) C) and D)
F) B) and D)

Question 6

The coefficient of determination is

Accepted Answer

A)  a measure of effect size
B)  mathematically equivalent to eta-squared
C)  equal to the correlation coefficient squared
D)  all of the aboveE) A) and C)
F) None of the above

Question 7

The value of the sum of products can be positive or negative.

Accepted Answer

A) True 
 B)False

Question 8

We convert r to a t statistic for which of the following correlation tests?

Accepted Answer

A)  Pearson
B)  Spearman
C)  point-biserial
D)  phiE) B) and C)
F) A) and D)

Question 9

The formula for the Spearman correlation coefficient was derived from the formula for the Pearson correlation coefficient.

Accepted Answer

A) True 
 B)False

Question 10

The point-biserial correlation coefficient is a measure of the direction and strength of the linear relationship between two variables,where

Accepted Answer

A)  one is continuous,and one is dichotomous
B)  both variables are on an ordinal scale
C)  one is at interval level or higher and one is ordinal
D)  both variables are on a nominal scaleE) A) and D)
F) All of the above

Question 11

A researcher measures the following correlation: r = -0.21.What is the value of the coefficient of determination?

Accepted Answer

A)  0.04
B)  -0.04
C)  0.42
D)  -0.42E) A) and D)
F) A) and C)

Question 12

Three assumptions for a correlation are homoscedasticity,linearity,and normality.

Accepted Answer

A) True 
 B)False

Question 13

A researcher measures the correlation between gender and student aptitude scores from 0 to 100 among 20 participants.If  = 0.49,then what is the decision for this correlation test?

Accepted Answer

A)  Retain the null hypothesis.
B)  Reject the null hypothesis.
C)  There is not enough information to answer this question.D) All of the above
E) B) and C)

Question 14

The coefficient of determination is mathematically equivalent to eta-squared.

Accepted Answer

A) True 
 B)False

Question 15

The correlation coefficient can be converted to a t statistic.

Accepted Answer

A) True 
 B)False

Question 16

Select the description below that identifies the following correlation: r = .28,p < .01.

Accepted Answer

A)  the correlation is positive
B)  the correlation is statistically significant
C)  the coefficient of determination is .08
D)  all of the aboveE) C) and D)
F) None of the above

Question 17

A researcher measures the correlation in rankings for a sample of restaurants and consumers' rankings of their favorite restaurants.If  = 96 and n = 12,then what is the value of the correlation coefficient?

Accepted Answer

A)  0.07
B)  0.34
C)  0.66
D)  0.94E) C) and D)
F) A) and B)

Question 18

Outliers can change both the direction and strength of a correlation coefficient.

Accepted Answer

A) True 
 B)False

Question 19

Homoscedasticity is the assumption that there is an equal variance of data points dispersed along the regression line.

Accepted Answer

A) True 
 B)False

Question 20

The assumption of normality requires that the range of scores observed in a sample is the same of the possible range of scores in the population.

Accepted Answer

A) True 
 B)False

Exam 18: Understanding Correlation Coefficients in Statistical Analysis

Homoscedasticity is the assumption that there is an equal variance of data points dispersed along the regression line.

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To summarize correlations,we report:

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A researcher measures the correlation in rankings for a sample of restaurants and consumers' rankings of their favorite restaurants.If = 96 and n = 12,then what is the value of the correlation coefficient?

Correct AnswerverifiedShow Answer

The coefficient of determination is mathematically equivalent to eta-squared.

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The correlation coefficient can be converted to a t statistic.

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The assumption that there is an equal variance or scatter of data points dispersed along the regression line is referred to as

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The coefficient of determination is

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The assumption of normality requires that the range of scores observed in a sample is the same of the possible range of scores in the population.

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Correlation does not show causation.

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A researcher measures the correlation between gender and student aptitude scores from 0 to 100 among 20 participants.If = 0.49,then what is the decision for this correlation test?

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Select the description below that identifies the following correlation: r = .28,p < .01.

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The value of the sum of products can be positive or negative.

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The point-biserial correlation coefficient is a measure of the direction and strength of the linear relationship between two variables,where

Correct AnswerverifiedShow Answer

Three assumptions for a correlation are homoscedasticity,linearity,and normality.

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We convert r to a t statistic for which of the following correlation tests?

Correct AnswerverifiedShow Answer

Outliers can change both the direction and strength of a correlation coefficient.

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A researcher measures the following correlation: r = -0.21.What is the value of the coefficient of determination?

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Which of the following is a limitation for interpreting a correlation?

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If r = 0.026 and df = 10,then t = 7.20.

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The formula for the Spearman correlation coefficient was derived from the formula for the Pearson correlation coefficient.

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