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The correlation remains the same.

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10y ago

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What are the effects of co relation on linear transformation?

Correlation has no effect on linear transformations.


When there is no linear correlation the correlation coefficient equals?

0


Is a curved line a correlation?

Yes, but not a linear correlation.


What is a linear transformation?

linear transformation can be define as the vector of 1 function present in other vector are known as linear transformation.


What is the range of correlation coefficient and what does its value tell?

The product-moment correlation coefficient or PMCC should have a value between -1 and 1. A positive value shows a positive linear correlation, and a negative value shows a negative linear correlation. At zero, there is no linear correlation, and the correlation becomes stronger as the value moves further from 0.


What serves as standard of comparison to evaluate effect of the independent variable on dependent variable?

The correlation coefficient, plus graphical methods to verify the validity of a linear relationship (which is what the correlation coefficient measures), and the appropriate tests of the statisitical significance of the correlation coefficient.


What is the basis of eigenvectors and how does it relate to the concept of eigenvalues in linear algebra?

In linear algebra, eigenvectors are special vectors that only change in scale when a linear transformation is applied to them. Eigenvalues are the corresponding scalars that represent how much the eigenvectors are scaled by the transformation. The basis of eigenvectors lies in the idea that they provide a way to understand how a linear transformation affects certain directions in space, with eigenvalues indicating the magnitude of this effect.


Difference between positive and negative correlation?

If the two variables increase together and decrease together AND in a linear fashion, the correlation is positive. If one increases when the other decreases, again, in a linear fashion, the correlation is negative.


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 are the strengths and weaknesses of correlation analysis?

Strengths:WeaknessesCalculating the strength of a relationship between variables.Cannot assume cause and effect, strong correlation between variables may be misleading.Useful as a pointer for further, more detailedresearch.Lack of correlation may not mean there is no relationship, it could be non-linear.


What fallacy is described assuming there is no correlation between two events there is also a casual relationship?

Very few people will assume, given NO correlation, that there is also a casual relationship.I will assume that you meant the fallacy in assuming that if "there is no correlation between two events there is also nocausal relationship".Correlation is a measure of linear relationship. If there is a non-linear relationship it is possible for the correlation to be low. Or, in the extreme case of a relationship that is symmetric about a specific value of the explanatory variable, for the correlation to be zero.Very few people will assume, given NO correlation, that there is also a casual relationship.I will assume that you meant the fallacy in assuming that if "there is no correlation between two events there is also nocausal relationship".Correlation is a measure of linear relationship. If there is a non-linear relationship it is possible for the correlation to be low. Or, in the extreme case of a relationship that is symmetric about a specific value of the explanatory variable, for the correlation to be zero.Very few people will assume, given NO correlation, that there is also a casual relationship.I will assume that you meant the fallacy in assuming that if "there is no correlation between two events there is also nocausal relationship".Correlation is a measure of linear relationship. If there is a non-linear relationship it is possible for the correlation to be low. Or, in the extreme case of a relationship that is symmetric about a specific value of the explanatory variable, for the correlation to be zero.Very few people will assume, given NO correlation, that there is also a casual relationship.I will assume that you meant the fallacy in assuming that if "there is no correlation between two events there is also nocausal relationship".Correlation is a measure of linear relationship. If there is a non-linear relationship it is possible for the correlation to be low. Or, in the extreme case of a relationship that is symmetric about a specific value of the explanatory variable, for the correlation to be zero.


Is hilbert transform a non linear system?

No, it is a linear transformation.

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