The correlation coefficient of the points is 0.978
How to determine the correlation coefficient?
The points are given as:
(1, 1), (2, 5), (4, 7), (5, 12), and (7, 15)
Next, we calculate the correlation coefficient using a graphing calculator
From the graphing calculator, we have the following calculation summary
X Values
- ∑ = 19
- Mean = 3.8
- ∑(X - Mx)2 = SSx = 22.8
Y Values
- ∑ = 40
- Mean = 8
- ∑(Y - My)2 = SSy = 124
X and Y Combined
- N = 5
- ∑(X - Mx)(Y - My) = 52
R Calculation
- r = ∑((X - My)(Y - Mx)) / √((SSx)(SSy))
- r = 52 / √((22.8)(124))
- r = 0.978
The above means that the correlation coefficient is 0.978
Read more about correlation coefficient at:
https://brainly.com/question/11811889
