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The correlation coefficient is a measure of linear association between two (or more) variables. It does not measure non-linear relationships nor does it say anything about causality.

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Q: Correlation coefficient value mean
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What does a strong negative correlation coefficient mean?

The graph follows a very strong downward trend. Would have helped if you specified which correlation coefficient; there are different types.


Which correlation coefficient indicates the weakest relationship between variables?

Pearson's Product Moment Correlation Coefficient indicates how strong the relationship between variables is. A PMCC of zero or very close would mean a very weak correlation. A PMCC of around 1 means a strong correlation.


What Are The Properties Of Regression Coefficient?

(a) Correlation coefficient is the geometric mean between the regression coefficients. (b) If one of the regression coefficients is greater than unity, the other must be less than unity. (c) Arithmetic mean of the regression coefficients is greater than the correlation coefficient r, provided r > 0. (d) Regression coefficients are independent of the changes of origin but not of scale.


What is a negative correlation mean?

A negative correlation highlights the similarity of opposites. In a negative correlation, as the value of variable a increases, the value of variable b decreases. It can work the other way too, as the value of a decreases, the value of b increases. A negative correlation is also routinely referred to as an inverse. For instance, every time a person goes to jail, there is one less person in the work force. Therefore, incarceration rates, and work force numbers have an inverse relationship.


What does the negative correlation coefficient -0.976 mean?

There appears to be a very strong negative linear relationship between the two variables. One variable increases as the other decreases following a linear relationship over the domains of measurement. A correlation coefficient can say nothing about causality. It is possible that changes in the first variable causes changes in the second or the other way around. Or, it could be that neither of them cause the other, but both are caused by something else.

Related questions

What is the correlation coefficient of -2?

A serious error. The maximum magnitude for a correlation coefficient is 1.The Correlation coefficient is lies between -1 to 1 if it is 0 mean there is no correlation between them. Here they are given less than -1 value so it is not a value of correlation coefficient.


What does it mean when the correlation coefficient has a positive value?

That as one variable increases so does the other


What are the properties of correlation coefficient?

The correlation coefficient is symmetrical with respect to X and Y i.e.The correlation coefficient is the geometric mean of the two regression coefficients. or .The correlation coefficient lies between -1 and 1. i.e. .


What does it mean for variables to show correlation?

A positive correlation coefficient means that as the value of one variable increases, the value of the other variable increases; as one decreases the other decreases. A negative correlation coefficient indicates that as one variable increases, the other decreases, and vice-versa.


What are the properties of correlation?

The correlation coefficient is symmetrical with respect to X and Y i.e.The correlation coefficient is the geometric mean of the two regression coefficients. or .The correlation coefficient lies between -1 and 1. i.e. .


What numbers will a correlation coefficient not ever be?

34.32245Correlation coefficient is less than -1 and greater than 1.Note: The Correlation coefficient is lies between -1 to 1 if it is 0 mean there is no correlation between them.


What does a correlation coefficient of 1.1 mean?

Well, friend, a correlation coefficient of 1.1 is not possible because correlation coefficients range from -1 to 1. If you meant 1.0, that would indicate a perfect positive linear relationship between two variables. It means as one variable increases, the other variable also increases proportionally.


What does a strong negative correlation coefficient mean?

The graph follows a very strong downward trend. Would have helped if you specified which correlation coefficient; there are different types.


If coefficient of correlation r between two variables is zero does it mean that there is no relationship between the variables Justify your answer?

"If coefficient of correlation, "r" between two variables is zero, does it mean that there is no relationship between the variables? Justify your answer".


What can you say about the correlation coefficient and the correlation description when the points lie exactly on vertical or horizontal line?

Let me rephrase: Case 1: You have x and y variables, but the values for x is a constant (vertical line) Case 1: You have x and y variables, but the values for y is a constant (horizontal line) Result is that you have zero covariance, so a correlation coefficient can not be calculated because that would cause a division by zero. If one of your x value (Case 1) or y value (case 2) is not exactly the same as the others, then a correlation coefficient can be calculated, but does it mean anything? The correlation coefficient indicates a linear relationship between two random variables, not between a constant and a random variable.


Which correlation coefficient indicates the weakest relationship between variables?

Pearson's Product Moment Correlation Coefficient indicates how strong the relationship between variables is. A PMCC of zero or very close would mean a very weak correlation. A PMCC of around 1 means a strong correlation.


What does a moderate negative correlation coefficient mean?

It means that when THIS happens, THAT usually, but not always, doesn't.