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Pearson's correlation coefficient, also known as the product moment correlation coefficient (PMCC), and denoted by r, is a measure of linear agreement between two random variable. It can take any value from -1 to +1. +1 indicates a perfect positive linear relationship between the two variables, a value of 0 implies no linear relationship whereas a value of -1 shows a perfect negative linear relationship. A low (or 0) correlation does not imply that the variables are unrelated: it simply means a there is no linear relationship: a symmetric relationship will give a very low or zero value for r.
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What are sophisticated mathematical processes that could be used in Mathematical Studies Project work according to the IBO?
chi squared test, pearsons correlation coefficient etc
Is -0.0001 a correlation coefficient?
Yes it can be a correlation coefficient.
Is 1.5 a correlation coefficient?
No, it cannot be a correlation coefficient.
What is a Correlation coefficient of 0.00457?
Evidence that there is no correlation.
What does a correlation coefficient of zero indicates?
A coefficient of zero means there is no correlation between two variables. A coefficient of -1 indicates strong negative correlation, while +1 suggests strong positive correlation.
What are sophisticated mathematical processes that could be used in Mathematical Studies Project work according to the IBO?
chi squared test, pearsons correlation coefficient etc
Is -0.0001 a correlation coefficient?
Yes it can be a correlation coefficient.
Is 1.5 a correlation coefficient?
No, it cannot be a correlation coefficient.
Is 0.5 the strongest correlation coefficient?
No. The strongest correlation coefficient is +1 (positive correlation) and -1 (negative correlation).
What are the properties of correlation coefficient?
The correlation coefficient is symmetrical with respect to X and Y i.e.The correlation coefficient is the geometric mean of the two regression coefficients. or .The correlation coefficient lies between -1 and 1. i.e. .
What is the correlation coefficient of -2?
A serious error. The maximum magnitude for a correlation coefficient is 1.The Correlation coefficient is lies between -1 to 1 if it is 0 mean there is no correlation between them. Here they are given less than -1 value so it is not a value of correlation coefficient.
What is the feasible range for r the correlation coefficient?
the correlation coefficient range is -1 to +1
What is a Correlation coefficient of 0.00457?
Evidence that there is no correlation.
Is the Correlation Coefficient of 35 strong?
The correlation coefficient must lie between -1 and +1 and so a correlation coefficient of 35 is a strong indication of a calculation error. If you meant 0.35, then it is a weak correlation.
What does a correlation coefficient of zero indicates?
A coefficient of zero means there is no correlation between two variables. A coefficient of -1 indicates strong negative correlation, while +1 suggests strong positive correlation.
What are the properties of correlation?
The correlation coefficient is symmetrical with respect to X and Y i.e.The correlation coefficient is the geometric mean of the two regression coefficients. or .The correlation coefficient lies between -1 and 1. i.e. .
How is coefficient of determination and coefficient of correlation is related?
coefficient of determination
