Which of these three correlations is the strongest?
1-The Pearson's r correlation between stress level and sleep quality is -0.3, indicating a weak negative correlation. This means that as stress levels increase, sleep quality tends to decrease, but the relationship is not very strong. The significance level of 0.02 is less than the common threshold of 0.05, suggesting that the correlation is statistically significant and not due to random chance.
2- Pearson's r correlation coefficient for productivity score is 0.63, suggesting a moderate positive correlation. This means as the productivity score increases, there is a tendency for stress to also increase. The significance level of 0.11 is greater than the common alpha level of 0.05, indicating that the correlation is not statistically significant, and we cannot confidently say that the correlation observed is not due to chance.
3- The Pearson's r value of -0.05 indicates a very weak negative correlation between sleep quality and productivity score, suggesting that as sleep quality increases, productivity score slightly decreases. However, the significance level of less than 0.001 indicates that this correlation is statistically significant, meaning the observed relationship is unlikely to have occurred by chance.