Question 189062: I have a question for my statsitics homework, would someone please help me one last time. Thank you.
I did the chartand found the r, but I am still having trouble with the rest.
x
4
5
5
6
4
7
3
8
4
Ex= 46
y
62
69
76
83
74
91
59
94
73
Ey= 681
xy
248
345
380
498
296
637
177
752
292
Exy=3625
x2
16
25
25
36
16
49
9
64
16
Ex2=256
y2
3844
4761
5776
6889
5476
8281
3481
8836
5329
Ey2=52,673
r= -.0870
here is my question:
Using the r calculated, test the significance of the correlation coefficient using alpha = 0.01 and the claim k = 0. Design the test using the 7-steps hypothesis test.
Answer:
1. H0 : k = 0
Ha : k
2. alpha = 0.01
3. Find the test statistic t.
4. Find the critical t0
5. Define the rejection region.
6. State the statistical decision.
7. Application interpretation.
Once again I would like to thank you for helping me and using your own time . Thank you in advance.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website!
I did the chartand found the r, but I am still having trouble with the rest.
x
4
5
5
6
4
7
3
8
4
Ex= 46
y
62
69
76
83
74
91
59
94
73
Ey= 681
xy
248
345
380
498
296
637
177
752
292
Exy=3625
x2
16
25
25
36
16
49
9
64
16
Ex2=256
y2
3844
4761
5776
6889
5476
8281
3481
8836
5329
Ey2=52,673
r= -.0870
==============================================
Comment: Running a LinReg Test against the x/y values
I get r = 0.9337
===============================================
Here is my question:
Using the r calculated, test the significance of the correlation coefficient using alpha = 0.01 and the claim k = 0. Design the test using the 7-steps hypothesis test.
Answer:
1. Ho : k = 0
Ha : k is not 0
2. alpha = 0.01
3. Find the test statistic t.
---
Comment:In your text (page 492) there are two methods for
calculating the test statistic.
t = r*sqrt[(n-2)/(1-r^2)] = = 0.9337*sqrt[7/(1-(0.9337)^2] = 6.8993
----
The 2nd method calculates a critical value for r(alpha)
--------------------------------------------------------------------
4. Find the critical when alpha = 1% and df= 7 : to = 3.499
5. Define the rejection region.: reject Ho if test stat > 3.499
-----------------------------------------------
6. State the statistical decision.: Since the 6.8993> 3.499, reject Ho
----------------------------------------------
7. Application interpretation. There is a correlation between the x and y
values.
==================================
Once again I would like to thank you for helping me and using your own time . Thank you in advance.
============
Cheers,
Stan H.
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