Test: Test 7 Time Remaining: 02:50:36 Submit Tes This Question: 2 pts 5 of 15 (1

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Test: Test 7 Time Remaining: 02:50:36 Submit Tes This Question: 2 pts 5 of 15 (1 complete) This Test: 48 pts possi Twenty different statistics students are randomly selected. For each of them, their body temperature °C does that indicate that there is no association between these two variables? s measured and their head circumference cm s measured lf s found that r=0 Choose the correct answer below. o A. Yes, because if r = 0, the variables are completely unrelated O B. No, because r does not measure the strength of the relationship, only its direction. C. No, because if r 0, the variables are in a perfect linear relationship O D. No, because while there is no linear correlation, there may be a relationship that is not linear.

Explanation / Answer

Let X is the body temperature and Y is the head circumference.

The correlation coefficient, denoted by r measures the relationship between two varaibles. Here, X and Y are two varaibles, and it is given that r= 0, if correlation coefficient is zero it means that the two varaibles are independent and there is no relationship between them. Hence we can say that, if r= zero, it indicates that there is no association between these two varaibles.

Answer is A, yes, because r=0, the variables are completely unrelated.

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