Question

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 correaltion is: a. -0.93 b. 0.93 c. -0.98 d. 0.98

Answer 1

The coefficient of rank correlation is -0.93 (option a).

Step-by-step explanation:

The coefficient of rank correlation is a measure that indicates the strength and direction of the relationship between two sets of ranked data. It ranges from -1 to +1, with a value of -1 indicating a perfect negative relationship, a value of +1 indicating a perfect positive relationship, and a value of 0 indicating no relationship. To calculate the coefficient of rank correlation, we can use the formula:

r = 1 - (6Σd²)/(n(n²-1))

where r is the coefficient of rank correlation, Σd² is the sum of the squared differences between the ranks of corresponding values in the two sets, and n is the number of data points.

For the given data: x: 80, 78, 75, 75, 68, 57, 60, 59 and y: 110, 111, 114, 114, 114, 116, 115, 117, the coefficient of rank correlation is -0.93 (option a).