Question 90

Correlation coefficients range from -1.0 to +1.0

Correlation coefficients are statistical measures that indicate the strength and direction of a linear relationship between two variables, and they range from -1.0 to +1.0.

A) -.5 to +.5

This option is incorrect because it suggests a limited range for correlation coefficients. While correlation coefficients can fall within this interval, the full range extends from -1.0 to +1.0, which is essential for capturing the complete spectrum of possible relationships.

B) -1.0 to +1.0

This option is correct. Correlation coefficients indeed range from -1.0 to +1.0, where -1.0 indicates a perfect negative correlation, +1.0 indicates a perfect positive correlation, and 0 indicates no correlation at all. This range is fundamental in statistics for analyzing relationships between variables.

C) -1.5 to +1.5

This option is incorrect as correlation coefficients cannot exceed the limits of -1.0 and +1.0. A correlation coefficient of -1.5 or +1.5 would not be valid, as it would imply a strength of correlation that is not statistically possible.

D) -2.0 to +2.0

This option is also incorrect. Similar to option C, correlation coefficients cannot fall outside the range of -1.0 to +1.0. Therefore, a range of -2.0 to +2.0 is not applicable to correlation coefficients.

E) -2.5 to +2.5

This option is incorrect for the same reasons as options C and D. The concept of correlation coefficients strictly adheres to the limits of -1.0 and +1.0, making this range invalid.

Conclusion

The correct answer, B) -1.0 to +1.0, accurately reflects the established boundaries for correlation coefficients, essential for understanding the nature of relationships between variables. All other options propose ranges that are not statistically valid, highlighting the importance of adhering to the accepted definitions in statistical analysis.