Chapter 4: Q. 4.34 (page 173)
Regarding a scatterplot,
a. Identify one of its uses.
b. What property should it have to obtain a regression line for the data?
(a) It is easy to determine the regression slope.
(b) Data should have linear pattern.
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Determine the linear correlation coefficient by formula and definition.
In the article "Comparison of Fiber Counting by TV Screen and Eyepieces of Phase Contrast Microscopy" (Amer. icon Industrial Hyeiene Asseciution Journal, Vol. 63, Pp. 756-761), 1. Moa et al. reported on determining fiber density by two different methods. Twenty samples of varying fiber density were each counted by 10 viewers by means of an eyepiece method and a television screen method to determine the relationship between the counts done by each method. The results, in fibers per square millimeter, are presented on the Weiss Stats site.
(a). Decide whether use of the linear correlation coefficient as a descriptive measure for the data is appropriate, If so, then also parts and.
6. What kind of plot is useful for deciding whether finding a regression line for a set of data points is reasonable?
For each exercise, determine the linear correlation coefficient by using
a. Define on page ,
b. Formula an page .
Compare your answer an para (a) and (b
More Money, More Beer? The data for per capita income and per capita beer consumption for the states and Washington, D.C., from Exercise 4.77 are on the WeissStats site.
a. decide whether the use of the linear correlation coefficient as a descriptive measure for the data is appropriate. If so, then also do parts (b) and (c).
b. obtain the linear correlation coefficient.
c. interpret the value of in terms of the linear relationship between the mo variables in question.
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