A random sample of 150 yachts sold in Canada last year was taken.A regression to predict the price (in thousands of dollars) from length (in metres) has an ${\mathrm{R}}^2=18.3\%$ What is correlation between length and price?

A) 0.428
B) 0.033
C) 0.667
D) 0.904
E) 0.183

The correlation coefficient (r) measures the strength and direction of the linear relationship between two variables. Its value ranges from -1 to +1, where -1 indicates a strong negative relationship, +1 indicates a strong positive relationship, and 0 means no linear relationship.

In this case, the regression analysis is used to predict the price of a yacht based on its length, so it makes sense to calculate the correlation between length and price.

The correlation coefficient is given by r = sqrt(R-squared), where R-squared is the coefficient of determination from the regression analysis. In this case, R-squared is equal to 0.183, so r = sqrt(0.183) = 0.428.

Therefore, the answer is A) 0.428.