Deck 10: Correlation
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Deck 10: Correlation
1
In statistics, r is called:
A)Yate's correction.
B)Franklin's fudge factor.
C)Pearson's correlation coefficient.
D)Pearson's correlation correction.
A)Yate's correction.
B)Franklin's fudge factor.
C)Pearson's correlation coefficient.
D)Pearson's correlation correction.
Pearson's correlation coefficient.
2
The strength of a correlation is indicated by:
A)its sign (+ or - ).
B)its numerical value.
C)both a and b
D)none of the above
A)its sign (+ or - ).
B)its numerical value.
C)both a and b
D)none of the above
its numerical value.
3
Choose the weakest correlation:
A)-.28
B)-.76
C)+.66
D)+.1 2
A)-.28
B)-.76
C)+.66
D)+.1 2
+.1 2
4
If the variable Crime increases as the variable Police decreases, the correlation is said to Be:
A)positive.
B)negative.
C)weak.
D )curvilinear.
A)positive.
B)negative.
C)weak.
D )curvilinear.
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5
A strong straight-line correlation between variables X and Y implies:
A)high scores on X are associated with high scores on Y.
B)low scores on X are associated with low scores on Y.
C)X is a good predictor of Y.
D)X is not good predictor of Y.
A)high scores on X are associated with high scores on Y.
B)low scores on X are associated with low scores on Y.
C)X is a good predictor of Y.
D)X is not good predictor of Y.
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6
If the variable Tasty remains constant as variable Cost increases, the correlation is said to Be:
A)positive.
B)negative.
C)weak.
D)zero.
A)positive.
B)negative.
C)weak.
D)zero.
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7
An important first step to visualize the relationship of two interval level variables is to:
A)calculate a correlation coefficient.
B)look at a scatter plot.
C)do a test of significance.
D)calculate the variance of the independent variable.
A)calculate a correlation coefficient.
B)look at a scatter plot.
C)do a test of significance.
D)calculate the variance of the independent variable.
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8
Choose the strongest correlation:
A)-.28
B)-.76
C)+.66
D)+.1 2
A)-.28
B)-.76
C)+.66
D)+.1 2
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9
If a correlation between variables A and B is found to be equal to -1.16:
A)the relationship is negative.
B)the relationship is significant.
C)there has been a miscalculation.
D)none of the above
A)the relationship is negative.
B)the relationship is significant.
C)there has been a miscalculation.
D)none of the above
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10
If TV viewing initially decreases with age, but then after age 40 reverses itself, this Correlation would be an example of:
A)a positive relationship.
B)a negative relationship.
C)a curvilinear relationship.
D )cannot tell from the above information
A)a positive relationship.
B)a negative relationship.
C)a curvilinear relationship.
D )cannot tell from the above information
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11
The strength of the correlation is indicated by:
A)its sign (+ or - ).
B)its numerical value.
C)both a and b
D)none of the above
A)its sign (+ or - ).
B)its numerical value.
C)both a and b
D)none of the above
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12
The correlation coefficient:
A)presents the strength of the relationship.
B)presents the direction of the relationship.
C)varies from -1.0 to +1.0.
D)all of the above
A)presents the strength of the relationship.
B)presents the direction of the relationship.
C)varies from -1.0 to +1.0.
D)all of the above
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13
Correlation can vary with respect to:
A)time.
B)direction.
C)strength.
D)b and c
A)time.
B)direction.
C)strength.
D)b and c
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14
Which statement is NOT true of correlation coefficients?
A)Correlations can never exceed 1.0.
B)Correlations provide statements of causation.
C)Correlations can be negative.
D )All of the above are true.
A)Correlations can never exceed 1.0.
B)Correlations provide statements of causation.
C)Correlations can be negative.
D )All of the above are true.
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15
If the variable Wealth increases as the variable Education increases, the correlation is said To be:
A)positive.
B)negative.
C)strong.
D )curvilinear.
A)positive.
B)negative.
C)strong.
D )curvilinear.
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16
Pearson's r is useful for detecting a relationship that is:
A)strong and positive.
B)strong and negative.
C)curvilinear.
D)a and b
A)strong and positive.
B)strong and negative.
C)curvilinear.
D)a and b
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17
A negative correlation between variables X and Y implies:
A)high scores on X are associated with high scores on Y.
B)high scores on X are associated with low scores on Y.
C)low scores on X are associated with low scores on Y.
D)the variables X and Y are not strongly related.
A)high scores on X are associated with high scores on Y.
B)high scores on X are associated with low scores on Y.
C)low scores on X are associated with low scores on Y.
D)the variables X and Y are not strongly related.
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18
A positive correlation between variables X and Y implies:
A)high scores on X are associated with high scores on Y.
B)high scores on X are associated with low scores on Y.
C)low scores on X are associated with high scores on Y.
D)the variables X and Y are not strongly related.
A)high scores on X are associated with high scores on Y.
B)high scores on X are associated with low scores on Y.
C)low scores on X are associated with high scores on Y.
D)the variables X and Y are not strongly related.
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19
If the variable Attractiveness increases as the variable Weight remains constant, the Correlation is said to be:
A)positive.
B)negative.
C)strong.
D)zero.
A)positive.
B)negative.
C)strong.
D)zero.
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20
The direction of a correlation is indicated by:
A)its sign (+ or - ).
B)its numerical value.
C)both a and b
D)none of the above
A)its sign (+ or - ).
B)its numerical value.
C)both a and b
D)none of the above
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21
A weak correlation coefficient could result from a curvilinear relationship.
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22
The population correlation is known as:
A)row (ρ)
B)rho (ρ)
C)roe (θ)
D)theta (θ)
A)row (ρ)
B)rho (ρ)
C)roe (θ)
D)theta (θ)
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23
The question below refers to the following information:
A professor is interested in knowing if the number of absences a student has during the semester is a good indication of how well a student does on the final exam. At the end of the year, the professor compares absence rates and exam grades for eight students. The data she found are as follows:
Is the correlation statistically significant and, if so, at what level?
A professor is interested in knowing if the number of absences a student has during the semester is a good indication of how well a student does on the final exam. At the end of the year, the professor compares absence rates and exam grades for eight students. The data she found are as follows:

Is the correlation statistically significant and, if so, at what level?
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24
The question below refers to the following information:
A professor is interested in knowing if the number of absences a student has during the semester is a good indication of how well a student does on the final exam. At the end of the year, the professor compares absence rates and exam grades for eight students. The data she found are as follows:
Calculate t in order to see if the correlation is statistically significant.
A professor is interested in knowing if the number of absences a student has during the semester is a good indication of how well a student does on the final exam. At the end of the year, the professor compares absence rates and exam grades for eight students. The data she found are as follows:

Calculate t in order to see if the correlation is statistically significant.
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25
Pearson's r is only useful for detecting a __________ line relationship.
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26
Testing the significance of Pearson's r requires both X and Y variables to be __________ distributed in the population.
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27
The question below refers to the following information:
A professor is interested in knowing if the number of absences a student has during the semester is a good indication of how well a student does on the final exam. At the end of the year, the professor compares absence rates and exam grades for eight students. The data she found are as follows:
The correlation for the above data has a __________ direction.
A professor is interested in knowing if the number of absences a student has during the semester is a good indication of how well a student does on the final exam. At the end of the year, the professor compares absence rates and exam grades for eight students. The data she found are as follows:

The correlation for the above data has a __________ direction.
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28
The closer the correlation coefficient is to __________, the weaker the correlation.
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29
A correlation coefficient of -.60 is a stronger correlation than a correlation coefficient of +.55
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30
The closer the correlation coefficient is to 1 or -1, the __________ the correlation.
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31
The question below refers to the following information:
A professor is interested in knowing if the number of absences a student has during the semester is a good indication of how well a student does on the final exam. At the end of the year, the professor compares absence rates and exam grades for eight students. The data she found are as follows:
What is the research hypothesis?
A professor is interested in knowing if the number of absences a student has during the semester is a good indication of how well a student does on the final exam. At the end of the year, the professor compares absence rates and exam grades for eight students. The data she found are as follows:

What is the research hypothesis?
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32
The question below refers to the following information:
A professor is interested in knowing if the number of absences a student has during the semester is a good indication of how well a student does on the final exam. At the end of the year, the professor compares absence rates and exam grades for eight students. The data she found are as follows:
Calculate the Pearson's correlation coefficient.
A professor is interested in knowing if the number of absences a student has during the semester is a good indication of how well a student does on the final exam. At the end of the year, the professor compares absence rates and exam grades for eight students. The data she found are as follows:

Calculate the Pearson's correlation coefficient.
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33
Pearson's correlation coefficient assesses the strength and direction of curvilinear relationships.
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34
A Person's r of .71 for Age and Attention Span would be an example of a __________ correlation.
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35
Correlation coefficients do NOT indicate the strength of a relationship.
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36
__________ correlations have a Pearson's r of 1 or -1.
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37
For Pearson's r, both X and Y variables must be measured at the __________ level.
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38
A Person's r of -.86 for Bigotry and Attractiveness would be an example of a __________ correlation.
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39
To calculate for the significance of Pearson's r, one can use the __________ ratio.
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40
The question below refers to the following information:
A professor is interested in knowing if the number of absences a student has during the semester is a good indication of how well a student does on the final exam. At the end of the year, the professor compares absence rates and exam grades for eight students. The data she found are as follows:
What is the null hypothesis?
A professor is interested in knowing if the number of absences a student has during the semester is a good indication of how well a student does on the final exam. At the end of the year, the professor compares absence rates and exam grades for eight students. The data she found are as follows:

What is the null hypothesis?
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41
Calculate the Pearson's correlation coefficient for the following set of matched (x,y) data:
(4,6) (4,9) (3,5) (5,3) (9,4) (7,7)
(4,6) (4,9) (3,5) (5,3) (9,4) (7,7)
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42
Calculate the Pearson's r of the following set of data: 

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43
An administrator at a university is interested in studying the relationship between student satisfaction at the university(on a 1-10 scale) and the student's GPA. Here are the data she collected:
Compute the Pearson's r and test the significance of the obtained correlation (use α = .05) using Table F of Appendix C.

Compute the Pearson's r and test the significance of the obtained correlation (use α = .05) using Table F of Appendix C.
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44
The question below refers to the following information:
A professor is interested in knowing if the number of absences a student has during the semester is a good indication of how well a student does on the final exam. At the end of the year, the professor compares absence rates and exam grades for eight students. The data she found are as follows:
What are your conclusions about the null hypothesis?
A professor is interested in knowing if the number of absences a student has during the semester is a good indication of how well a student does on the final exam. At the end of the year, the professor compares absence rates and exam grades for eight students. The data she found are as follows:

What are your conclusions about the null hypothesis?
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45
The question below refers to the following situation:
A social researcher is interested in studying the relationship between years of education and income. Here are the data he is working with:
Test the significance of the obtained correlation (use α = .05) using Table F of Appendix C.
A social researcher is interested in studying the relationship between years of education and income. Here are the data he is working with:

Test the significance of the obtained correlation (use α = .05) using Table F of Appendix C.
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46
Use the following data to calculate the Pearson's r and test the significance of the obtained correlation (use α = .05) using Table F of Appendix C: 

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47
The question below refers to the following situation:
A social researcher is interested in studying the relationship between years of education and income. Here are the data he is working with:
Compute the appropriate correlation coefficient.
A social researcher is interested in studying the relationship between years of education and income. Here are the data he is working with:

Compute the appropriate correlation coefficient.
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