Chapter 4: Q. 12 (page 192)
12. In the context of regression analysis, what is an
a. outlier?
b. influential observation?
a. Outliers are data points that lie far away from the regression line.
b. The regression equation changes considerably when a data point is removed that is influential.
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In Exercise 4.11, we give linear equations. For each equation,
a. find the -intercept and slope.
b. determine whether the line slopes upward, slopes downward, or is horizontal, without graphing the equation.
c. use two points to graph the equation.
Given equation is,
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.
For each exercise, determine the linear correlation coefficient by using
a. Definirina on page ,
b. Formula on page .
Compare year annex an para (a) and (b
For a data set consisting of two data points:
a. identify the regression line.
b. What is the sum of squared errors for the regression line? Explain your answer.
Fill in the blanks.
a. In the context of regression, an_______ is a data point that lies far from the regression line, relative to the other data points.
b. In regression analysis, an_______ is a data point where removal causes the regression equation to change considerably:
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