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The correlation coefficient is a statistical measure of the extent to which two variables change. A correlation coefficient of -0.80 indicated that, on average, an increase of 1 unit in variable X is accompanied by a decrease of 0.8 units in variable Y.

Note that correlation does not imply causation.

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Q: What is the correlation coefficient of -0.80 is found between factor A and factor B?
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When two variables are found to be unrelated the correlation coefficient would be?

Zero.


Distinguish between correlation and regression?

Correlation is a measure of the degree of agreement in the changes (variances) in two or more variables. In the case of two variables, if one of them increases by the same amount for a unit increase in the other, then the correlation coefficient is +1. If one of them decreases by the same amount for a unit increase in the other, then the correlation coefficient is -1. Lesser agreement results in an intermediate value. Regression involves estimating or quantifying this relationship. It is very important to remember that correlation and regression measure only the linear relationship between variables. A symmetrical relationshup, for example, y = x2 between values of x with equal magnitudes (-a < x < a), has a correlation coefficient of 0, and the regression line will be a horizontal line. Also, a relationship found using correlation or regression need not be causal.


Can A regression equation have a negative coefficient of correlation and a negative coefficient of determination?

It's not quite possible for the coefficient of determination to be negative at all, because of its definition as r2 (coefficient of correlation squared). The coefficient of determination is useful since tells us how accurate the regression line's predictions will be but it cannot tell us which direction the line is going since it will always be a positive quantity even if the correlation is negative. On the other hand, r (the coefficient of correlation) gives the strength and direction of the correlation but says nothing about the regression line equation. Both r and r2 are found similarly but they are typically used to tell us different things.


If the correlation coefficient r is equal to 0.35 find the coefficient of nondetermination?

The coefficient of nondetermination is found by 1.00-r squared so 1.00-0.35X0.35 1.00-0.1225 0.8772 round it to 0.88


A traffic officer is compiling information about the relationship between the hour of the day and the speed over the limit at which the motorist is ticketed He computes a correlation coefficient of 0?

This would mean that the officer found no relationship between speeding and the hour of day.


What is a Pearson correlation and an example of it?

A Pearson Correlation is similar (same as) to Pearson R which are found between Y and X variables.


Is there a correlation between snowfall and phases of the moon in Maine?

There may be a weak correlation, but there is no known mechanism to cause this and it is unlikely one will be found.


What is the meaning of zero correlation?

If variables have zero correlation, they do not have a linear relationship. Zero correlation shows that two things were not found to be related.


Why is correlation found?

Why Correlation?Because there is some relationship. One variable depends on another. Using correlation we can make inferences. Brahmajyothi


Is the relationship between distance and force in Newton's law of universal gravitation a negative correlation?

No. "Negative correlation" means no relationship can be found between the two quantities. But in the case of the gravitational force, there is a definite, bullet-proof, mathematical connection between the distance and the force. Since a greater distance leads to a smaller force, the relationship is said to be "inverse", but the correlation is definitely not "negative".


How do chromosomes affect Spina Bifida?

There has been no correlation found between any specific chromosomes and developing spina bifida.


What is the correlation between the amount of neurons and intelligence found in the frontal lobe of the brain found to be A. -.99 B. .10 C. .45 or D. .76?

-.99