The value of the correlation is -0.0721 and it is a weak negative correlation
<h3>
How to determine the correlation coefficient?</h3>
The points are given as:
(12, 28), (15, 50), (18, 14), (21, 28), (24, 36)
Enter the above points in a graphing calculator.
From the graphing calculator, we have the following summary:
<u>X Values</u>
- Sum X = 90
- Mean = 18
- ∑(X - Mx)^2 = SSx = 90
<u>Y Values</u>
- Sum Y = 156
- Mean = 31.2
- ∑(Y - My)^2 = SSy = 692.8
<u>X and Y Combined</u>
- N = 5
- ∑(X - Mx)(Y - My) = -18
<u>R Calculation</u>
r = ∑((X - My)(Y - Mx)) / √((SSx)(SSy))
This gives
r = -18 / √((90)(692.8)) = -0.0721
So, the correlation coefficient is -0.0721
The above is a negative correlation because it is less than 0 and it is a weak correlation because it is closer to 0 than -1
Hence, the correlation is a weak negative correlation
Read more about correlation coefficient at:
brainly.com/question/27226153
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