Final answer:
The correlation coefficient between the Size and Price of homes, given an R-squared value of 73.7%, is approximately ±0.8583. The exact direction (positive or negative) is not provided with the information given.
Step-by-step explanation:
The question asks us to determine the correlation coefficient between the Size and Price of homes given that the coefficient of determination (R2) is 73.7%. The R2 value represents the proportion of the variance for the dependent variable (Price) that's explained by the independent variable (Size) in a regression model. To find the correlation coefficient r, we can take the square root of the R2 value.
Given R2 = 73.7%, we first convert this to a decimal: 0.737. Taking the square root gives us r ≈ ±0.8583. Since the direction of the relationship (positive or negative correlation) is not given, we provide both possible values for r. Therefore, the correlation between Size and Price can be approximately 0.8583 or -0.8583.