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tsing_lee tsing_lee
wrote...
Posts: 27
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A month ago
Dear all,
I would like to ask you about how to interpret a pearson correlation relationship between 2 parameters.
Here is the graph,



Could I interpret this as,
A and B have strong negative relationship. When A increase, b will decrease.

then how about the spreading of points? some points are close to the line and some of that are not?
Please help me!
Thank you.
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5 Replies
Replies
wrote...
Educator
A month ago
Hi tsing_lee,

You're right, the spread is quite substantial. It looks like there is a negative correlation between the parameters, but the R value isn't strong as you suggested. According to the chart, R is -0.57, which means it is negative moderate, not strong.



According to this video, you can find the significance of the R value if you're given the raw data. But I'm assuming this graph was obtained from an article, to which they don't provide the raw data. Watch the video above to understand a little more what I mean.
wrote...
A month ago
Hi, thank you for the suggestion.
Sometime, I doubt of interpreting the value. From the video, it was said that my result is moderate but from this source
 https://www.statisticssolutions.com/free-resources/directory-of-statistical-analyses/pearsons-correlation-coefficient/

my result is high degree.
btw, this is not obtained from article but from my assignment
wrote...
Educator
A month ago
The chart presented in the video is the one I've been using for a long time, so I trust that source.

Your source doesn't suggest anything about the ranges. Are you sure you posted the correct link?

How did you find the R value? Was it given to you in the assignment? What is the assignment asking exactly?
Answer accepted by topic starter
jeffreysotojeffreysoto
wrote...
Posts: 6
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A month ago
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Your concept about correlation is good, but it needs a slight uplift or polish. Firstly, let us consider the scatter plot you are offering. The date is scattered in a wavy pattern, which sometimes makes it difficult to interpret the relationship between two sets. Your scatter plot shows that one of the data sets increases along the x and y-axis. Whereas the other data set is decreasing along the same axis. Thus, it presents a negative correlation since, in a negative case, one set increases whereas the other decreases. Hence, your first assumption is right that it represents a negative relationship.
Moving forwards, as long as you need to determine the strength of the relationship, we have to use the correlation coefficient that is represented by ‘r’ or ‘R’ in some books. You have mentioned Pearson, which states that the relationship above becomes strong if the value of the coefficient exceeds 0.7. And the value you have presented in the question is like R=-0.57. Now this depicts two things. Either the relationship is moderately negative or close-to-moderately negative. Thus, it would help to tweak your second opinion a bit, and you have your perfect answer.
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wrote...
A month ago
Hi,
well when we talk about Pearson's correlation, The Pearson's correlation coefficient is calculated as the covariance of the two variables divided by the product of the standard deviation of each data sample.
It is the normalization of the covariance between the two variables to give an interpretable score.
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