5. Rounded to three decimal places, what is the value of r for this data set?
1 answer:
The value of correlation coefficient (r) for the dataset is 0.981
<h3>What is correlation coefficient (r)?</h3>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:
<h3>X Values </h3>- ∑x = 49
- Mean = 8.167
- ∑(X - Mx)2 = SSx = 146.833
<h3>Y Values </h3>
- ∑y = 77
- Mean = 12.833
- ∑(Y - My)2 = SSy = 266.833
<h3>X and Y Combined </h3>
- N = 6
- ∑(X - Mx)(Y - My) = 194.167
The correlation coefficient (r) is then calculated as:
This gives
Approximate
Hence, the value of correlation coefficient (r) for the dataset is 0.981
Read more about correlation coefficient at:
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