Question
At a recent concert, a survey was conducted that asked a random sample of 20 people...
At a recent concert, a survey was conducted that asked a random sample of 20 people their age and how many concerts they have attended since the beginning of the year. The following data were collected:
|
Age |
62 |
57 |
40 |
49 |
67 |
54 |
43 |
65 |
54 |
41 |
|
# of Concerts |
6 |
5 |
4 |
3 |
5 |
5 |
2 |
6 |
3 |
1 |
|
Age |
44 |
48 |
55 |
60 |
59 |
63 |
69 |
40 |
38 |
52 |
|
# of Concerts |
3 |
2 |
4 |
5 |
4 |
5 |
4 |
2 |
1 |
3 |
What is the coefficient of correlation between the age and the number of concerts attended by the respondents since the first of the year?
| A. |
-0.94 |
|
| B. |
0.23 |
|
| C. |
0.8 |
|
| D. |
-0.23 |
Homework Answers
Answer #1
Correlation co-efficient,r = Covariance (X,Y) / 
= SSxy / 
=(
Xi)/n = 53
=(
Yi)/n = 3.65
SSxx= 
(Xi-
)2 =
(Xi2)-n.
2 = 1814
SSyy= 
(Yi-
)2 =
(Yi2)-n.
2 = 44.55
SSxy= 
(Xi-
)(Yi-
) =
(XiYi)-n.
= 228
So , r = 228 / 
= 0.8 ( option C)
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