   Chapter 14.5, Problem 3LC Essentials of Statistics for the B...

8th Edition
Frederick J Gravetter + 1 other
ISBN: 9781133956570

Solutions

Chapter
Section Essentials of Statistics for the B...

8th Edition
Frederick J Gravetter + 1 other
ISBN: 9781133956570
Textbook Problem

Rank the following scores and compute the Spearman correlation: X Y 2 7 12 3 9 16 14 5

To determine
The rank and to compute the spearman correlation of the scores of X and Y.

Explanation

Given info:

The data contains the scores of X and Y:

 X Y 2 7 12 3 9 16 14 5

Calculation:

There are n=4 (number of scores of X or Y) observations.

Original data:

 X Y 2 7 12 3 9 16 14 5

Ranks from higher to lower values:

 X Y XY 4 2 8 2 4 8 3 1 3 1 3 3 ∑XY=22

To calculate the spearman correlation we use the ranks of X and Y

 Ranks Differences X Y D D2 4 2

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