Examples on Positive and Inverse Correlation

Example 1: A researcher investigates the relationship between study hours and GPA. Upon analysis, the correlation coefficient is found to be 0.6. Interpret the correlation.

Solution:

A correlation coefficient of 0.6 suggests a strong positive correlation between study hours and GPA.

Hence, students who dedicate more time to studying tend to achieve higher GPAs.

Example 2: An economist examines the relationship between inflation and unemployment rates. The correlation coefficient obtained is -0.4. Explain the correlation.

Solution:

With a correlation coefficient of -0.4, there exists a moderate inverse correlation between inflation and unemployment rates.

This implies that as inflation increases, unemployment tends to decrease, and vice versa.

Positive and Inverse Correlation

Positive Correlation are relation between two variables that move in the same direction, whereas inverse correlation is a relation between two variables that move in opposite directions. In this article we have covered Correlation definition, Positive Correlation, Negative Correlation, Difference Between Positive and Inverse Correlation and others in detail.

Table of Content

  • What is Correlation?
  • Positive Correlation
  • Inverse Correlation
  • Difference Between Positive and Inverse Correlation
  • Conclusion
  • Examples on Positive and Inverse Correlation

Similar Reads

What is Correlation?

In statistics, correlation refers to the measure of the relationship between two variables. It helps us understand how changes in one variable correspond to changes in another. Correlation is expressed numerically through correlation coefficients, which range from -1 to 1, inclusive. A correlation coefficient of 1 indicates a perfect positive correlation, -1 indicates a perfect negative correlation, and 0 indicates no correlation....

Positive Correlation

Positive correlation occurs when two variables move in the same direction. This means that as one variable increases, the other variable also tends to increase, and vice versa. Mathematically, a positive correlation is represented by a correlation coefficient close to 1....

Inverse Correlation

Inverse Correlation sometimes also called (Negative Correlation), on the other hand, happens when two variables move in opposite directions. This implies that as one variable increases, the other variable tends to decrease, and vice versa. Negative correlation is represented by a correlation coefficient close to -1....

Difference Between Positive and Inverse Correlation

The key difference between positive and negative correlation lies in the direction of the relationship between the variables:...

Conclusion

In conclusion, grasping the disparity between positive and negative correlation equips individuals with a powerful analytical tool to decipher complex datasets and unravel underlying relationships between variables. By mastering these concepts, students and enthusiasts alike embark on a journey of mathematical enlightenment, paving the way for informed decision-making and insightful interpretations....

Examples on Positive and Inverse Correlation

Example 1: A researcher investigates the relationship between study hours and GPA. Upon analysis, the correlation coefficient is found to be 0.6. Interpret the correlation....

FAQs on Positive and Inverse Correlation

Is an Inverse Relationship the Same As a Negative Correlation?...

Contact Us