Question

4. It is known that corn plants always respire exactly 41% of the carbon dioxide taken...

4. It is known that corn plants always respire exactly 41% of the carbon dioxide taken in back as oxygen. The correlation coefficient between the amount of carbon dioxide taken in and amount of oxygen respired for a sample of 54 plants would be:

A. 0.41

B. -0.41

C. 0.64

D. 1.00

Math   Statistics-And-Probability   
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Answer #1

The correct answer is (D) 1

Explanations: Since the amount of carbon dioxide inside the plant will be equal to equal to the amount of oxygen outside the plant during respiration. So, there is a perfect correlation between them.

Note that there is given that exactly 41% of the CO2 taken in back as oxygen which is just a number there is no role in finding correlation and the number of plants 54 also doesn't affect the correlation. If you take any number of plant, the correlation between the amount of CO2 and O2 will be 1.

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