Chapter 14, Problem 8P

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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:

Here *SP* is calculated as:

Squared deviations SS_{x} and SS_{y} are calculated as:

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.

Sect-14.1 P-1LCSect-14.1 P-2LCSect-14.1 P-3LCSect-14.1 P-4LCSect-14.2 P-1LCSect-14.2 P-2LCSect-14.2 P-3LCSect-14.3 P-1LCSect-14.3 P-2LCSect-14.4 P-1LC

Sect-14.4 P-2LCSect-14.4 P-1LCASect-14.5 P-1LCSect-14.5 P-2LCSect-14.5 P-3LCSect-14.5 P-1LCASect-14.5 P-2LCASect-14.6 P-1LCSect-14.6 P-2LCSect-14.6 P-3LCSect-14.6 P-4LCSect-14.6 P-1LCASect-14.6 P-1LCBSect-14.6 P-2LCBSect-14.6 P-3LCBSect-14.6 P-1LCCCh-14 P-1PCh-14 P-2PCh-14 P-3PCh-14 P-4PCh-14 P-5PCh-14 P-6PCh-14 P-7PCh-14 P-8PCh-14 P-9PCh-14 P-10PCh-14 P-11PCh-14 P-12PCh-14 P-13PCh-14 P-17PCh-14 P-18PCh-14 P-19PCh-14 P-20PCh-14 P-21PCh-14 P-22PCh-14 P-23PCh-14 P-24PCh-14 P-25PCh-14 P-26PCh-14 P-27PCh-14 P-28PCh-14 P-29P

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