The correlation coefficient is -0.87; strong correlation
How to determine the correlation coefficient?
The given parameters are:
x = Time spent working out
y = lbs Overweight
Next, we enter the table of values in a graphing tool.
From the graphing tool, we have the following summary:
X Values
- ∑ = 27.1
- Mean = 2.71
- ∑(X - Mx)2 = SSx = 22.569
Y Values
- ∑ = 89
- Mean = 8.9
- ∑(Y - My)2 = SSy = 778.9
X and Y Combined
- N = 10
- ∑(X - Mx)(Y - My) = -114.19
R Calculation
r = ∑((X - My)(Y - Mx)) / √((SSx)(SSy))
r = -114.19 / √((22.569)(778.9))
r = -0.8613
Approximate
r = -0.87
This means that the correlation coefficient is -0.87
Also, the correlation coefficient is a strong correlation, because it is closer to -1 than it is to 0
Read more about correlation coefficient at:
https://brainly.com/question/27226153
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