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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

For the following set of scores,

X Y
6 4
3 1
5 0
6 7
4 2
6 4
  • a. Compute the Pearson correlation.
  • b. Add 2 points to each X value and compute the correlation for the modified scores. How does adding a constant to every score affect the value of the correlation?
  • c. Multiply each of the original X values by 2 and compute the correlation for the modified scores. How does multiplying each score by a constant affect the value of the correlation?

a.

To determine

To Calculate: The Pearson correlation.

Explanation

Given info:

The scores of X and Y.

Calculation:

The Pearson correlation (r) is calculated as:

r=SP(SSx)×(SSy)

Here SP is calculated as:

SP=(XMx)(YMy)

Squared deviations SSx and SSy are calculated as:

SSx=(XMx)2 and SSy=(YMy)2

The below table showing the calculations required for calculating correlation:

S.No

b.

To determine

To Calculate: The modified scores Pearson correlation.

To determine: The value of the correlation affected by adding a constant to every score.

c.

To determine

To Calculate: The modified scores Pearson correlation.

To determine: The value of the correlation affected by multiplying each score by a constant number.

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