Correlation coefficient formulas are used to find how strong a relationship is between data.
The formulas return a value between -1 and 1, where:
• 1 indicates a strong positive relationship. A correlation coefficient of 1 means that for every positive increase in one variable, there is a positive increase of a fixed proportion in the other.
• -1 indicates a strong negative relationship. A correlation coefficient of -1 means that for every positive increase in one variable, there is a negative decrease of a fixed proportion in the other.
• A result of zero indicates no relationship at all. Zero means that for every increase, there isn’t a positive or negative increase. The two just aren’t related.
Therefore, the correct answer is: The linear correlation coefficient is always between -1 and 1.
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