The correlation coefficient of the dataset is 0.99
How to determine the correlation coefficient?
The dataset is given as:
x: 12 13 14 14 15 16 16 17 18
y: 112 116 118 119 120 124 125 126 129
To determine the correlation coefficient, we make use of a graphing calculator.
From the graphing calculator, we have:
X Values
- ∑x = 135
- Mean = 15
- ∑(X - Mx)2 = SSx = 30
Y Values
- ∑y = 1089
- Mean = 121
- ∑(Y - My)2 = SSy = 234
X and Y Combined
- N = 9
- ∑(X - Mx)(Y - My) = 83
R Calculation
r = ∑((X - My)(Y - Mx)) / √((SSx)(SSy))
r = 83 / √((30)(234))
r = 0.9906
Approximate
r = 0.99
Hence, the correlation coefficient of the dataset is 0.99
Read more about correlation coefficient at:
https://brainly.com/question/4219149
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