1. What does the correlation coefficient in question 24 indicate? A. a strong ne
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Question
1. What does the correlation coefficient in question 24 indicate?
A. a strong negative linear relationship
B. a strong positive linear relationship
C. a weak positive linear relationship
D. a weak negative linear relationship
2. Six pairs of x,y values are found to have a correlation coefficient of 0.982. With alpha = 0.05, to test the significace of the correlation, what are the critical value(s)?
A. +/- 1.943
B. +/-2.571
C. +/- 2.132
D. +/- 2.776
3. For the data in previous question, what is the test value?
A. .0356
B. 0.982
C. 10.398
D. .964
4. For the data in the two previous questions, what can be concluded about the relationship data sets x and y?
A. there is a significant relationship between x and y
B. there is no relationship between x and y
C. there is no relationship between x and y
d. there is an insignificant relationship between x and y
5. The diameter of the planet Earth is about 8000 miles. Imagine someone has tied a rope around the Earth ar the equator. You come along and as a practical joke put yardsticks all the way around the Earth and prop up the rope all the way around the equator. Estimate IN FEET to within 5% how much rope you have to add to make the rope go all the way around propped up on the yardsticks.
6.
Explanation / Answer
Set Up Hypothesis
Null, H0: =0
ALternativee, H1: !=0
Test Statistic
Value of ( r ) =0.982
Number (n)=6
we use Test Statistic (t) = r / Sqrt(1-r^2/(n-2))
to=0.982/(Sqrt( ( 1-0.982^2 )/(6-2) )
to =10.4
|to | =10.4
Critical Value
The Value of |t | at LOS 0.05% is 2.776
We got |to| =10.4 & | t | =2.776
Make Decision
Hence Value of | to | > | t | and Here we Reject Ho
Q2.
Critical Value
The Value of |t | at LOS 0.05% is +/- 2.776
Q3. to =10.398
Q4. A. there is a significant relationship between x and y
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