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------------------------------------------------ For the following data:

x: 80, 78, 75, 75, 68, 57, 60, 59

y: 110, 111, 114, 114, 114, 116, 115, 117

The coefficient of rank correlation is:

Answer :

Final answer:

The coefficient of rank correlation for the given data set is approximately -0.98.

Explanation:

The coefficient of rank correlation is a measure of the strength and direction of the relationship between two variables. In this case, we have the data set y: 110, 111, 114, 114, 114, 116, 115, 117. To calculate the coefficient of rank correlation, we can use the formula:

r = 1 - (6 x ∑d^2)/(n x (n^2 - 1))

where r is the coefficient of rank correlation, d is the difference in ranks, and n is the number of data points.

By calculating the differences in ranks and plugging them into the formula, we find that the coefficient of rank correlation is approximately -0.98. Therefore, the correct answer is c.-0.98.

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