Question 90

Correlation coefficients range from -1.0 to +1.0

Correlation coefficients measure the strength and direction of a linear relationship between two variables, and they range from -1.0 to +1.0, where -1 indicates a perfect negative correlation, 1 indicates a perfect positive correlation, and 0 indicates no correlation.

A) -.5 to +.5

This option is incorrect because while it represents a range, it does not encompass the full extent of correlation coefficients. The actual range extends beyond these limits, specifically from -1.0 to +1.0.

B) -1.0 to +1.0

This is the correct option as it accurately defines the complete range of correlation coefficients. A coefficient of -1.0 indicates a perfect negative correlation while +1.0 indicates a perfect positive correlation, and values in between represent varying degrees of correlation.

C) -1.5 to +1.5

This option is incorrect because correlation coefficients cannot exceed the range of -1.0 to +1.0. A value of -1.5 or +1.5 does not make sense within the context of correlation.

D) -2.0 to +2.0

This option is also incorrect for the same reason as Option C. Correlation coefficients do not extend beyond -1.0 to +1.0, making this range invalid.

E) -2.5 to +2.5

This option is incorrect as well. Like the previous options, it suggests a range that is not applicable to correlation coefficients, which are strictly limited to -1.0 to +1.0.

Conclusion

The correct answer, -1.0 to +1.0, is definitive as it accurately reflects the established range for correlation coefficients. All other options fail because they either misstate the limits of correlation or suggest ranges that are not possible within the framework of statistical correlation analysis.