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16 Nov 2021
Problem 68
Page 677
Section: HOME WORK
Chapter 12: LINEAR REGRESSION AND CORRELATION
Textbook ExpertVerified Tutor
16 Nov 2021
Given information
Given:
Set of data points 
Step-by-step explanation
Step 1.
A 
-test is used to determine the significance of a correlation coefficient.
-test is used to determine the significance of a correlation coefficient.The following hypothesis is tested if 
is the genuine correlation coefficient between the variables:
is the genuine correlation coefficient between the variables:
The null hypothesis assumes that there is no significant linear relationship between the two variables, while the alternative hypothesis assumes that there is a substantial linear relationship.
A -test calculated using a sample of size 
, has the following degrees of freedom:
-test calculated using a sample of size , has the following degrees of freedom:Degrees of freedom 
If the data set contains 
data points, then compute the degrees of freedom as shown below.
data points, then compute the degrees of freedom as shown below.Degrees of freedom
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Introductory Statistics
OER Edition, 2013
Openstax
ISBN: 9781938168208
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