What is the Coefficient of Correlation between square footage and listing price?

Question

What is the Coefficient of Correlation between square footage and listing price?

SUMMARY OUTPUT Regression Statistics Multiple R 0.857445374 R Square 0.73521257 Adjusted R Square 0.732510657 Standard Error 197745.7406 Observations 100 ANOVA df SS MS F Significance F Regression 1     10,640,349,899,162.1000     10,640,349,899,162.1000    272.1082                   0.0000 Residual 98       3,832,131,038,010.8200             39,103,377,938.8859 Total 99     14,472,480,937,172.9000 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Lower 95.0% Upper 95.0% Intercept -65305.02053                              37,491.3945                                      (1.7419)        0.0847    (139,705.4728)     9,095.4317 (139,705.4728)       9,095.4317 Sq Footage 206.685083                                      12.5296                                      16.4957        0.0000               181.8204         231.5497              181.8204          231.5497

Explanation / Answer

The regression of listing price(y) on sq footage(x) is given by,

y=-65305.02053+206.685083*x

The coefficient of correlation between listing price and sq footage is =sqrt(0.857445374)=0.925983

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