Suppose we are interested in examining the relationship between AGE and FEV amon

Question

Suppose we are interested in examining the relationship between AGE and FEV among children. We construct the following model:

FEVi = 0 + 1 AGEi + i

Suppose the coefficient of determination is 0.81. What is the value of the correlation coefficient?

positive square root of 0.81

negative square root of 0.81

square root of 0.81, and the sign depends on the sign of the slope

positive square root of 0.81

negative square root of 0.81

square root of 0.81, and the sign depends on the sign of the slope

Explanation / Answer

c.

square root of 0.81, and the sign depends on the sign of the slope

because ,correlation coefficient is 'r' and 'r' lies between -1 and +1 ,but coefficient of determination is r^2

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