Chapter 14, Problem 9P

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8th Edition

Frederick J Gravetter + 1 other

ISBN: 9781133956570

Textbook Problem

Judge and Cable (2010) report the results of a study demonstrating a negative relationship between weight and income for a group of women professionals. Following are data similar to those obtained in the study. To simplify the weight variable, the women are classified into five categories that measure actual weight relative to height, from

1 = thinnest to 5 = heaviest. Income figures are annual income (in thousands), rounded to the nearest $ 1.000.

**a.**Calculate the Pearson correlation for these data.**b.**Is the correlation statistically significant? Use a two-tailed test with α = .05.

Weight (X) |
Income (Y) |

1 | 125 |

2 | 78 |

4 | 49 |

3 | 63 |

5 | 35 |

2 | 84 |

5 | 38 |

3 | 51 |

1 | 93 |

4 | 44 |

a.

To determine

**To Calculate:** The value of Pearson correlation.

Explanation

**Given info:**

The study demonstrating a negative relationship between weights and income for a group of women professionals. The women are classified into 5 categories.

**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

Whether correlation is statistically significant or not.

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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