What range of Pearson Coefficient ‘p’ is considered too high to support any certainty about the correlation of variables

The Pearson Correlation Coefficient, often denoted as 'r' or 'p', measures the strength and direction of the linear relationship between two variables. The value of the Pearson Correlation Coefficient can range from -1 to +1.

1. A value of +1 indicates a perfect positive linear relationship: as one variable increases, the other variable also increases.
2. A value of -1 indicates a perfect negative linear relationship: as one variable increases, the other variable decreases.
3. A value of 0 indicates no linear relationship: there is no tendency for the variables to increase or decrease together.

In terms of what range is considered "too high" to support any certainty about the correlation of variables, it's important to note that a high absolute value (close to 1 or -1) indicates a strong correlation. This means that the variables are closely related and change together in a predictable way.

However, correlation does not imply causation. Even if two variables have a strong correlation, it does not mean that changes in one variable cause changes in the other. This is a common misconception.

Therefore, no value of the Pearson Correlation Coefficient is "too high" to support any certainty about the correlation of variables. Instead, a high absolute value simply indicates a strong correlation. The certainty of the relationship (i.e., whether it is causal or not) must be determined through further research and analysis.