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The relationship between two random independently distributed variables is considered to be theoretically the weakest when the correlation coefficient is zero and theoretically the strongest when the correlation coefficient is one, indicating a positive relationship between two variables and negative one, indicating a negative relationationship between two variables.
I state that this is a theoretical result as if variables are not random, independently distributed, then a high correlation coefficient can result. For example, let us say that we obtained the following data on age and frequency of accidents:
Age 18 1 in 18 people have accidents in a year
Age 25 1 in 25 people have accident in a year
Age 30 1 in 30 people have accidents in a year
Age 35 1 in 6 people have accidents.
Age 40 1 in 400 people have accidents
If I selectively calculated a correlation coefficient this data including only the three groups ages 18, 25 and 30, you can see I will have a correlation coefficient of 1, however the data was not a random sample of all ages.
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When there is no linear correlation the correlation coefficient equals?
0
What is the strongest a correlation could be?
Either +1 (strongest possible positive correlation between the variables) or -1 (strongest possible negativecorrelation between the variables).
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.
Correlation coefficient value mean?
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.
When doing linear regression if the correlation coefficient is positive the slope of the line is negative?
False.
Is 0.5 the strongest correlation coefficient?
No. The strongest correlation coefficient is +1 (positive correlation) and -1 (negative correlation).
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 the strongest a correlation could be?
Either +1 (strongest possible positive correlation between the variables) or -1 (strongest possible negativecorrelation between the variables).
What is Effect of linear transformation on correlation?
The correlation remains the same.
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 are the effects of co relation on linear transformation?
Correlation has no effect on linear transformations.
What r-values represents the strongest correlation?
-0.9
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 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.
What does a correlation near 1 or -1 indicate?
The closer the correlation is to 1 or -1, the more linear the data is
