Difference Between Positive and Inverse Correlation

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

Positive Correlation Vs. Inverse Correlation

Ascept

Positive Correlation

Negative Correlation

Direction of Relationship

In positive correlation, both variables move in the same direction.

In negative correlation, the variables move in opposite directions.

Correlation Coefficient

Positive correlation is indicated by a correlation coefficient close to 1.

Negative correlation is indicated by a correlation coefficient close to -1.

Graphical Representation

In a scatter plot representing positive correlation, the points tend to form an upward trend.

In a scatter plot representing negative correlation, the points tend to form a downward trend.

Examples

Consider the relationship between the number of hours spent exercising per week and overall fitness level. As the number of hours spent exercising increases, the overall fitness level of an individual also tends to increase.

Think about the relationship between the amount of junk food consumed and physical health. As the consumption of junk food increases, physical health tends to deteriorate. Conversely, reducing the consumption of junk food leads to an improvement in physical health.

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?...

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