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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.
Is 0.5 the strongest correlation coefficient?
No. The strongest correlation coefficient is +1 (positive correlation) and -1 (negative correlation).
What percentage of variation in the criterion variable is accounted for by the predictor variable if the correlation between them is 50?
A correlation coefficient can only range from -1.0 to 1.0 so a 50 is not possible. Did you mean .5?
What does correlation does not imply causation mean?
It is saying that two occurrences happening in sequence does not have to mean that the first event was the cause of the second event.
