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Earn +20 ptsQ: Can coefficient of correlation be negative?
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What does a strong negative correlation coefficient mean?
The graph follows a very strong downward trend. Would have helped if you specified which correlation coefficient; there are different types.
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 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).
Does a negative correlation coefficient indicate an inverse relationship?
Yes, but the relationship need not be causal.
When doing linear regression if the correlation coefficient is positive the slope of the line is negative?
False.
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