The value of correlation coefficient (r) for the dataset is 0.981
What is correlation coefficient (r)?
The correlation coefficient (r) is used to determine the closeness and association of a scatter plot points.
The dataset is given as:
- x: 8 15 3 7 2 14
- y: 15 21 6 12 3 20
Using a graphing calculator, we have the following parameters:
X Values
- ∑x = 49
- Mean = 8.167
- ∑(X - Mx)2 = SSx = 146.833
Y Values
- ∑y = 77
- Mean = 12.833
- ∑(Y - My)2 = SSy = 266.833
X and Y Combined
- N = 6
- ∑(X - Mx)(Y - My) = 194.167
The correlation coefficient (r) is then calculated as:
[tex]r = \frac{\sum{((x - My)(Y - Mx)) }}{ \sqrt{((SSx)(SSy))}}[/tex]
This gives
[tex]r = \frac{194.167 }{ \sqrt{((146.833)(266.833))}}\\[/tex]
[tex]r = 0.9809[/tex]
Approximate
[tex]r = 0.981[/tex]
Hence, the value of correlation coefficient (r) for the dataset is 0.981
Read more about correlation coefficient at:
https://brainly.com/question/4219149
