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Essentials of Statistics for the B...

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

Solutions

Chapter
Section
BuyFindarrow_forward

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

RanksDifferences
X Y D D2
4 2

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