Question
In: Math
12.1 Determine the Pearson product-moment correlation coefficient for the following data. x 1 11 9 7...
12.1 Determine the Pearson product-moment correlation
coefficient for the following data.
|
x |
1 | 11 | 9 | 7 | 5 | 3 | 2 |
|---|---|---|---|---|---|---|---|
|
y |
9 | 4 | 6 | 5 | 7 | 7 | 8 |
(Do not round the intermediate values. Round your
answer to 3 decimal places.)
Correlation coefficient, r = enter the Correlation
coefficient rounded to 3 decimal places
Solutions
Expert Solution
Solution:
| x | y | x2 | y2 | x⋅y |
| 1 | 9 | 1 | 81 | 9 |
| 11 | 4 | 121 | 16 | 44 |
| 9 | 6 | 81 | 36 | 54 |
| 7 | 5 | 49 | 25 | 35 |
| 5 | 7 | 25 | 49 | 35 |
| 3 | 7 | 9 | 49 | 21 |
| 2 | 8 | 4 | 64 | 16 |
 x=38 |
y=46 |
x2=290 |
y2=320 |
xy=214 |
r = n (
xy )- (x
) (y)
/ 
n [ (
x2 ) - (
x )2 ]
[ n (y2
) - (
y )2
r = 7 (214) - (38 * 46)
/ [7 *290 - ( 38 ) 2
[ 7 * 320 - ( 46 ) 2 ]
r = 1498 - 1748 /
2030 - 1444 2240
- 2116
r = 250 / 586124
r = 250 / 269.5626
r = 2656 / 2910.80
r = - 0.9274
.The Correlation coefficient = - 0.927
milcah answered 1 year agoRelated Solutions
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1. Determine the Pearson product-moment correlation coefficient
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