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MATH 110 Module 9 Exam Questions and Answers- Portage Learning

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MATH 110 Module 9 Exam Questions and Answers- Portage Learning

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Module 9 Exam


Exam Page 1
Suppose you have 45 data points and you calculate the sample correlation coefficient and find that r
= .32. Can you be 95% confident that a linear relation exists between the variables? If so, is the
relation positive or negative? Justify you answer.


n = 45
r = .32 = |.32|
critical value = 0.2944
the absolute value is more than the critical value, there is a positive linear relationship.




-1.0 points

Instructor Comments
You can see the correct critical value in the Answer Key.
Answer Key
Suppose you have 45 data points and you calculate the sample correlation coefficient and find that r
= .32.Can you be 95% confident that a linear relation exists between the variables? If so, is the
relation positive or negative? Justify you answer.


Note that for n=45 and 95% we get a value from the chart of .29396. The absolute of r is |r|=.32,
which is above .29396. So a positive linear relation exists.


Exam Page 2
Suppose you have 34 data points and you calculate the sample correlation coefficient and find that r
= - .35. Can you be 95% confident that a linear relation exists between the variables? If so, is the
relation positive or negative? Justify you answer.


n = 24
r = -.35 = |.35|
critical value = 0.33879



This study source was downloaded by 100000819885058 from CourseHero.com on 04-18-2022 03:37:15 GMT -05:00


https://www.coursehero.com/file/37383457/Portage-9docx/

, since the absolute value of r is negative and is lighter than the critical value, we can be 95% positive
that there is a negative linear relationship.




Instructor Comments
Very good.
Answer Key
Suppose you have 34 data points and you calculate the sample correlation coefficient and find that r
= - .35. Can you be 95% confident that a linear relation exists between the variables? If so, is the
relation positive or negative? Justify you answer.


Note that for n=34 and 95% we get a value from the chart of .33879. The absolute of r is |r|=.35,
which is above .33879. So a negative linear relation exists.


Exam Page 3
Compute the sample correlation coefficient for the following data:




Can you be 95% confident that a linear relation exists between the variables? If so, is the relation
positive or negative? Justify you answer.


n=5
r = .99
critical value = .87834




This study source was downloaded by 100000819885058 from CourseHero.com on 04-18-2022 03:37:15 GMT -05:00


https://www.coursehero.com/file/37383457/Portage-9docx/

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