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Manual Event (Session ID,DateTime,Event) = 9vrs6tdc9b5rrq3384ak91ik8l 20210802105129 /communities/pearson-correlation-coefficients/

Pearson correlation coefficients

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Ellia30
26 November 2019
Pearson correlation coefficients

What is the range of Pearson correlation coefficients? And what do the sign “- “ and “+” mean respectively?

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Jason Jiang
20 February 2020

Coefficient values can range from +1 to -1, where +1 indicates a perfect positive relationship, -1 indicates a perfect negative relationship, and a 0 indicates no relationship exists.

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Dr. MEL
26 November 2019

It shows that there is no relationship between the two variables. In other words, knowing the value of one variable cannot provide any assistance In determining the value of another variable.

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Ellia30
26 November 2019

How about if r = 0?

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Dr. MEL
26 November 2019

The size of the absolute value, in which the sign is ignored, shows the strength of the relationship. For instance, +1 or –1 (also known as a perfect correlation) shows that knowing the value of one variable can determine exactly the value of another variable.

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Ellia30
26 November 2019

How about the size of the value of Pearson correlation coefficients?

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Dr. MEL
26 November 2019

Pearson’s correlation coefficients (r) are from –1 to +1. The sign “-“ in the front indicates a negative correlation (i.e. When one variable increases, the other decreases) whereas the sign “+” indicates a positive correlation (i.e. when one variable increases, the other also increases).

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