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Chapter 4: Q.4.119 (page 189)

The linear correlation coefficient is also known by another name. what is it?

Short Answer

Expert verified

The other name is Pearson product moment correlation coefficient.

Step by step solution

01

Step-1 concept introduction

The linear correlation coefficient is a statistic calculated directly from data that indicates how strong the linear link between the two variables Xand Y is.

02

Step-2 Explanation

The other name of linear correlation coefficient is pearson product moment correlation coefficient.

The Pearson product-moment correlation coefficient (abbreviated as r) is a measure of the strength of a linear relationship between two variables.

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Most popular questions from this chapter

For each exercise, determine the linear correlation coefficient using

a. Definition 4.8on page 183

b. Format 4.3on page 185,

(a) Plot the data points and the first linear equation on one graph and the data points and the second linear equation on another.

(b) Construct tables for x,y,e,e2,y^

(c) Determine which line fits the data points better according to the least-square criterion.

Fill in the blank.

The graph of a linear equation with one independent variable is a _____.

(a) Plot the data points and the first linear equation on one graph and the data points and the second linear equation on another.

(b) Construct tables forx,y,e,e2,y^

(c) Determine which line fits the data points better according to the least-square criterion.

4.76 PCBs and Pelicans, Polychlorinated biphenyls (PCBs), industrial pollutants, are known to be carcinogens and a great danger to natural ecosystems. As a result of several studies, PCB production was banned in the United States in 1979and by the Stockholm Convention on Persistent Organic Pollutants in 2001. One study, published in 1972 by R. Risebrough, is titled "Effects of Environmental Pollutants Upon Animals Other Than Man" (Proceedings of the 6th Berkeley Symposium on Mathematics and Statistics, Vl, University of California Press, Pp. 443-463). In that study, 60Anacapa pelican eggs were collected and measured for their shell thickness, in millimeters (mm), and concentration of PCBs, in parts per million (ppm). The data are on the Weiss Stats site.

a. Obtain a scatterplot for the data.

b. Decide whether finding a regression line for the data is reasonable. If so, then also do parts (c)-(f).
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