2nd October 2019

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# What is a statistically significant correlation?

If the p-value is less than the significance level (α = 0.05), Decision: Reject the null hypothesis. Conclusion: There is sufficient evidence to conclude there is a significant linear relationship between x and y because the correlation coefficient is significantly different from zero.

Correspondingly, what is a strong correlation?

In statistics, the correlation coefficient r measures the strength and direction of a linear relationship between two variables on a scatterplot. The value of r is always between +1 and –1. A perfect downhill (negative) linear relationship. –0.70. A strong downhill (negative) linear relationship.

What does it mean when there is a strong correlation?

Correlation is a term that refers to the strength of a relationship between two variables where a strong, or high, correlation means that two or more variables have a strong relationship with each other while a weak or low correlation means that the variables are hardly related.

What does it mean to have a weak correlation?

Strong Correlation: A weak correlation means that as one variable increases or decreases, there is a lower likelihood of there being a relationship with the second variable.