2) Use the information from problem 1. Perform a complete test of the hypothesis that the population correlation coefficient (p) is 0. Show all steps (note - obviously this should be a one sided test! Make sure you know why!).

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Can I get help with #2 please
1) You compare the height and weight of 5 adult women. You get the following results:
height
60
67
62
70
66
weight
119
143
131
155
136
(a) Construct a scatter plot of height (x) vs. weight (y)
(b) Calculate the following (show your work for SSep):
SS.
S,
SSp
(c) Calculate the correlation coefficient (r)
2) Use the information from problem 1. Perform a complete test of the hypothesis that the population
correlation coefficient (p) is 0. Show all steps (note - obviously this should be a one sided test! Make sure you
know why!).
Transcribed Image Text:1) You compare the height and weight of 5 adult women. You get the following results: height 60 67 62 70 66 weight 119 143 131 155 136 (a) Construct a scatter plot of height (x) vs. weight (y) (b) Calculate the following (show your work for SSep): SS. S, SSp (c) Calculate the correlation coefficient (r) 2) Use the information from problem 1. Perform a complete test of the hypothesis that the population correlation coefficient (p) is 0. Show all steps (note - obviously this should be a one sided test! Make sure you know why!).
S.No.
Y
(x-X)2
(y -y)?
(x -x)(y -y)
1
60
119
316.84
89
67
143
4
38.44
12.4
62
131
33.64
17.4
70
155
331.24
91
66
136
0.64
-0.8
Total
325
684
64
720.8
209
x %3DD Σx 3 x325
y = E; yi = x 684
65
%3D
= 136. 8
SSx = E, (xi – x)²=64
SSy = E, Vi – 5)² = 720.8
SScp= Σ(x-지) (v-) = 209
ср
The correlation coefficient is
SScp
r =
VSS,XSS,
E (x;–x) (y; -7)
209
%3D
V64x720.8
= 0.973
25
25
Transcribed Image Text:S.No. Y (x-X)2 (y -y)? (x -x)(y -y) 1 60 119 316.84 89 67 143 4 38.44 12.4 62 131 33.64 17.4 70 155 331.24 91 66 136 0.64 -0.8 Total 325 684 64 720.8 209 x %3DD Σx 3 x325 y = E; yi = x 684 65 %3D = 136. 8 SSx = E, (xi – x)²=64 SSy = E, Vi – 5)² = 720.8 SScp= Σ(x-지) (v-) = 209 ср The correlation coefficient is SScp r = VSS,XSS, E (x;–x) (y; -7) 209 %3D V64x720.8 = 0.973 25 25
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