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What is a constant correlation?

Updated: 12/7/2022
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Q: What is a constant correlation?
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What is the correlation between mathematics and you?

Since I am a constant, not a variable, there can be no correlation. The calculation would entail division by zero, which is not permitted.


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.


Auto correlation and cross correlation?

Auto correlation is the correlation of one signal with itself. Cross correlation is the correlation of one signal with a different signal.


What is the relationship between two quantites that increase or decrease together called?

If they increase or decrease exactly, then the constant of proportionality or coefficient of proportionality. If not exactly, then a correlation coefficient.


What are three types of correlations?

positive correlation-negative correlation and no correlation


Is 0.5 the strongest correlation coefficient?

No. The strongest correlation coefficient is +1 (positive correlation) and -1 (negative correlation).


What is the maximum and minimum value of the correlation coefficient?

The correlation can be anything between +1 (strong positive correlation), passing through zero (no correlation), to -1 (strong negative correlation).


Suppose the scatterplot of log y on x produces a correlation close to 1 then will the difference between consecutive values of y for equal x-intervals be approximately constant?

No. The ratio of consecutive values of y for equal x-intervals will be approx constant.


What is a sample correlation?

If measurements are taken for two (or more) variable for a sample , then the correlation between the variables are the sample correlation. If the sample is representative then the sample correlation will be a good estimate of the true population correlation.


Are negative correlation and reverse correlation same?

No.


What rhymes with correlation?

Indentation rhymes with correlation


What is a Correlation coefficient of 0.00457?

Evidence that there is no correlation.