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We appreciate your visit to 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. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!

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:

A. -0.93
B. 0.93
C. -0.98
D. 0.98

Answer :

Final answer:

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

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).

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