The following table lists the median weekly earnings, in dollars, for women and men for selected years from 1980 to 2002. (A graphing calculator is recommended.)Median Weekly Earnings198019851990199520002002Women (x)415444462475514531Men (y)538548549561602610(a) Find, to the nearest hundredth, the linear correlation coefficient for the data.(b) On the basis of your answer to part (a), would you say that there is a strong linear relationship, at the |r| > 0.9 level, between the median weekly earnings of women and the median weekly earningsof men?O No. The median income of men rose as the median income of women fell.O No. The median income of men fell as the median income of women rose.O Yes. The median income of men fell as the median income of women fell.O Yes. The median income of men rose as the median income of women rose.O The median income of men does not correlate with the median income of women.

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Description: The following table lists the median weekly earnings, in dollars, for women and men for selected years from 1980 to 2002. (A graphing calculator is recommended.)Median Weekly Earnings198019851990199520002002Women (x)415444462475514531Men (y)53854854

We have to find correlation coefficient.

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Algebra

The following table lists the median weekly earnings, in dollars, for women and men for selected years from 1980 to 2002. (A graphing calculator is recommended.) Median Weekly Earnings 1980 1985 1990 1995 2000 2002 Women (x) 415 444 462 475 514 531 Men (y) 538 548 549 561 602 610 (a) Find, to the nearest hundredth, the linear correlation coefficient for the data. (b) On the basis of your answer to part (a), would you say that there is a strong linear relationship, at the Ir| > 0.9 level, between the median weekly earnings of women and the median weekly earnings of men? O No. The median income of men rose as the median income of women fell. O No. The median income of men fell as the median income of women rose. O Yes. The median income of men fell as the median income of women fell. O Yes. The median income of men rose as the median income of women rose. O The median income of men does not correlate with the median income of women.

The following table lists the median weekly earnings, in dollars, for women and men for selected years from 1980 to 2002. (A graphing calculator is recommended.) Median Weekly Earnings 1980 1985 1990 1995 2000 2002 Women (x) 415 444 462 475 514 531 Men (y) 538 548 549 561 602 610 (a) Find, to the nearest hundredth, the linear correlation coefficient for the data. (b) On the basis of your answer to part (a), would you say that there is a strong linear relationship, at the Ir| > 0.9 level, between the median weekly earnings of women and the median weekly earnings of men? O No. The median income of men rose as the median income of women fell. O No. The median income of men fell as the median income of women rose. O Yes. The median income of men fell as the median income of women fell. O Yes. The median income of men rose as the median income of women rose. O The median income of men does not correlate with the median income of women.

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Concept explainers

Inverse Normal Distribution

The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.

Mean, Median, Mode

It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.

Z-Scores

A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.

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Question

The following table lists the median weekly earnings, in dollars, for women and men for selected years from 1980 to 2002. (A graphing calculator is recommended.)
Median Weekly Earnings
1980
1985
1990
1995
2000
2002
Women (x)
415
444
462
475
514
531
Men (y)
538
548
549
561
602
610
(a) Find, to the nearest hundredth, the linear correlation coefficient for the data.
(b) On the basis of your answer to part (a), would you say that there is a strong linear relationship, at the |r| > 0.9 level, between the median weekly earnings of women and the median weekly earnings
of men?
O No. The median income of men rose as the median income of women fell.
O No. The median income of men fell as the median income of women rose.
O Yes. The median income of men fell as the median income of women fell.
O Yes. The median income of men rose as the median income of women rose.
O The median income of men does not correlate with the median income of women.

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