A study was conducted investigating diabetes. Suppose we have n pairs of observa

Question

A study was conducted investigating diabetes. Suppose we have n pairs of observations (x1, y1), (x2, y2), …, (xn, yn), where e.g. xi and yi denote the age (measured in years) and the blood glucose level (measured in mmol/L) of the ith person. Suppose the correlation coefficient between age(in years) versus blood glucose level (in mmol/L) is 0.40. What is the correlation coefficient of age measured in months versus blood glucose level measured in mg/dl? [1 year= 12 months ; 1 mmol/L = 18mg/dl]

0.267

none of the other answers are correct.

0.400

Cannot be determined from information given. You would need to convert the original x and y values and then calculate the correlation coefficient.

0.267

none of the other answers are correct.

0.400

Cannot be determined from information given. You would need to convert the original x and y values and then calculate the correlation coefficient.

Explanation / Answer

Answer: Option C.0.400

Since the formula for calculating the correlation coefficient standardizes the variables, changes in scale or units of measurement will not affect its value.

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