MATH 110 Module 9 Exam (2026 Latest Update) MATH110 Introduction to Statistics: Portage Learning Verified Answers

MATH 110 Module 9 Exam (2026 Latest
Update) MATH110 Introduction to Statistics:
Portage Learning Verified Answers


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 SOLUTION:.
SOLUTION:
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


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