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Chapter 4: Q. 4.86 (page 181)
A measure of the amount of variation in the observed values of the response variable not explained by the regression is the----. The mathematical abbreviation for it is----.
Error sum of square
SSE
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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 and by the Stockholm Convention on Persistent Organic Pollutants in . One study, published in 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. ). In that study, Anacapa 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).
To determine whether r is positive, negative, or zero.
Shortleaf Mines. The ability to estimate the volume of a tree based on a simple measurement, such as the tree's diameter, is important to the lumber industry, ecologists, and conservationists. Data on volume, in cubic feet. and diameter at breast height, in inches, for shortlist pics were reported in C. Bruce and F. X. Schumacher's hopes Mensuration (New York: McGraw-Hill. ) and analyzed by A. C. Atkinson in the article "Transforming Both Sides of a Tree" (The Anarricas Slasisiciun, Vol, 48, PD. ), The data are presented on the WeissStats site.
a. Obtain a scatterplot for the dater.
h. Decide whether finding a depression lime for the data is reasonable. If so, then also do jurras (e) (f.
(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
(c) Determine which line fits the data points better according to the least-square criterion.
Acreage and Value. The data from Exercise 4.73 for lot size (in acres) and assessed value (in thousands of dollars) for a sample of homes in a particular area are on the WeissStats site.
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