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Q: When two variables are found to be unrelated the correlation coefficient would be?
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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.


What is the implication of any correlation found between the variables?

Correlation is a measure of the degree to which two variables change together. Positive correlation means that the variables increase together and decrease together. Negative correlation means that one variable increases when the other decreases.Correlation does not imply causality.Correlation is a measure of the degree to which two variables change together. Positive correlation means that the variables increase together and decrease together. Negative correlation means that one variable increases when the other decreases.Correlation does not imply causality.Correlation is a measure of the degree to which two variables change together. Positive correlation means that the variables increase together and decrease together. Negative correlation means that one variable increases when the other decreases.Correlation does not imply causality.Correlation is a measure of the degree to which two variables change together. Positive correlation means that the variables increase together and decrease together. Negative correlation means that one variable increases when the other decreases.Correlation does not imply causality.


Find the coefficient of variation for first 'n' natural nombers?

I have found the coefficient of variation of the first natural numbers and also other functions.


Does a strong positive correlation prove causation?

A strong positive correlation does not prove causation. People only get sunburned during daylight hours. Sundials only work during daylight hours. Therefore sundials cause sunburns. The above sentences show how absurd such predicate thinking could be. Simply because two events usually occur at the same time does not mean they are related. One man found a perfect correlation between the price of whiskey and Chicago school teachers' salaries. No possible relationship could possibly exist except the rate of prosperity and inflation. Causation is difficult to prove.


Will the sum of two normally distributed random variables be normally distributed if the random variables are independent?

Yes, and the new distribution has a mean equal to the sum of the means of the two distribution and a variance equal to the sum of the variances of the two distributions. The proof of this is found in Probability and Statistics by DeGroot, Third Edition, page 275.

Related questions

What is the correlation coefficient of -0.80 is found between factor A and factor B?

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.


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.


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.


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.


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


What is the implication of any correlation found between the variables?

Correlation is a measure of the degree to which two variables change together. Positive correlation means that the variables increase together and decrease together. Negative correlation means that one variable increases when the other decreases.Correlation does not imply causality.Correlation is a measure of the degree to which two variables change together. Positive correlation means that the variables increase together and decrease together. Negative correlation means that one variable increases when the other decreases.Correlation does not imply causality.Correlation is a measure of the degree to which two variables change together. Positive correlation means that the variables increase together and decrease together. Negative correlation means that one variable increases when the other decreases.Correlation does not imply causality.Correlation is a measure of the degree to which two variables change together. Positive correlation means that the variables increase together and decrease together. Negative correlation means that one variable increases when the other decreases.Correlation does not imply causality.


Why is correlation found?

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


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 an event correlation in signal processing?

Signal processing is an engineering principle that deals with the analysis of signals. Event correlation is a technical term for when data is analyzed and there is a correlation that is found.


What are the variables found in all experiments?

independent and dependent variables


Where is a coefficient found?

In front of a variable in an algebraic expression.