We have restricted the range of the variables, is most likely the reason responsible for this result
A restricted range is a compacted or shorter range of values. Correlations are influenced by limited ranges. The correlation coefficient actually decreases as the range is constrained, which is a strange phenomena. as an illustration The connection between waist measurement and BMI was found to be quite strong (r = 0.85) in a study of diabetes patients.
For various narrow ranges, the correlation, however, varied. The association coefficient was 0.86 when the BMI range was limited to those over 35. Almost little association was found for BMIs between 30 and 35. (-0.09). However, the correlation coefficient tended to decrease over time over constrained ranges.
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