SOLUTION: I am having some trouble with my Statistics homework, could some one please help me I have completed the chart but I am stuck on the rest.I am not sure if the the r is right. I am

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Question 188924: I am having some trouble with my Statistics homework, could some one please help me I have completed the chart but I am stuck on the rest.I am not sure if the the r is right. I am very gratful for your help.

x
8
2.1
1.3
1
11.5
5.3
3.8
24.3
Ex= 57.3
y
30
12
6
3
25
12
10
40
Ey=138
xy
240
25.2
7.8
3
287.5
63.6
38
972
Exy= 1,637.1
x2
64
4.41
1.69
1
132.25
28.09
14.44
590.49
Ex(2)= 836.37

y2
900
144
36
9
625
144
100
1600
Ey(2)= 3558
Use the last row of the table to show the column totals.
n = 8
Use the last row of the table to show the column totals.
n = 8
r = 0.915931
Using the r calculated in problem the significance of the correlation coefficient using  = 0.01 and the claim p ≠ 0.
Answer:
1. H0 : p = 0
Ha : p ≠0
2.  = 0.01
3. Find t
4. t0 =
5. Rejection region:
6. Decision:
7. Interpretation:
I would like to thank you in advance for all your help.
Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website!
n = 8
r = 0.915931
---
I ran a LinReg program against the x/y values and found r = 0.9159
which is sam value you found.
-------------------------------------
Using the r calculated in problem the significance of the correlation coefficient using alpha = 0.01 and the claim rho ≠ 0.
Answer:
1. Ho : rho = 0
Ha : rho ≠0
2. alpha = 0.01
3. Find t = r/sqrt[(1-r^2)(n-2)] = (0.9159)/sqrt[(1-0.9159)^2/(8-2)]
= 5.4891
4. to = 0.834
5. Rejection region: t > 0.834
6. Decision: Since t > to reject Ho.
7. Interpretation: There is a linear relation between x and y.
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Cheers,
Stan H.