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10. An investigator determines the correlation coefficient between triglyceride levels and degree of atherosclerosis in sampled...

10. An investigator determines the correlation coefficient between triglyceride levels and degree of atherosclerosis in sampled blood vessels to be +1.67. On the basis of this information, you would conclude that:

Triglyceride level is a good predictor of atherosclerosis.

High triglyceride levels cause atherosclerosis.

Atherosclerosis causes high levels of triglyceride.

The investigator has incorrectly determined the correlation coefficient.

Math   Statistics-And-Probability   
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Answer #1

Correlation coefficient is a measure of the linear correlation between two variables

We are given, An investigator determines the correlation coefficient between triglyceride levels and degree of atherosclerosis in sampled blood vessels to be +1.67

Here, triglyceride levels is independent variable and degree of atherosclerosis is dependent variable.

However, correlation coefficient can take a range of values from +1 to -1 and a value of 0 indicates that there is no association between the two variables

As +1.67 is not in the range of correlation coefficient (-1 to +1), we can conclude that

The investigator has incorrectly determined the correlation coefficient

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