Pearsonr 和 p 值

Question

I am analyzing some data in pandas and plotting correlations between two variables using sns.jointplot() function. The results for correlation between these two function looks like this:

The value for pearsonr is 0.41 and p is 5e-18. What can i infer from these two values. Is there a good relationship between these two variables are not.

Also if I want to just display pearsonr on the plot, how should I change my code. Below is the code that I a using currently.

ax=sns.jointplot(df['Comfort'], df['Assurance'],data=df, kind="kde", color='r');

Answer 1

The value for pearsonr is 0.41 and p is 5e-18. What can i infer from these two values. Is there a good relationship between these two variables are not.

Roughly speaking:

• The size of a correlation coefficient ( 0.41 ) suggests a low positive correlation.
• p-value ( 5e-18 ) suggests that the correlation coefficient is statistically significant, being much less than 0.01 (0.01 ---> the risk of concluding that a correlation exists when, actually, no correlation exists is 1%).
• please, remember that Pearson correlation coefficient only measures linear relationships. You can get Pearson correlation coefficient 0 for variables (datasets) with a strong nonlinear relationship. Moreover, you are assuming that your variables (datasets) are normally distributed.

Also if I want to just display pearsonr on the plot, how should I change my code.

seaborn 0.9.0 does not display that information. To add that information, you can compute the value using scipy.stats.pearsonr , then showing it as part of the title of your figure.