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Chapter 4: Q. 4.129 (page 189)
To determine whether is positive, negative, or zero.
The will be negative
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Wasp Mating Systems. In the paper "Mating System and Sex Allocation in the Gregarious Parasitoid Cotesia glomerata" (Animal Behaviour, Vol. , pp. ). H. Gu and S. Dorn reported on various aspects of the mating system and sex allocation strategy of the wasp C. glomerata, One part of the study involved the investigation of the percentage of male wasps dispersing before mating in relation to the brood sex ratio (proportion of males). The data obtained by the researchers are on the WeissStats site.
a. Obtain a scatterplot for the data.
b. Is it reasonable to find a regression line for the data? Explain your answer.
8. Regarding the variables in a regression analysis.
a. what is the independent variable called?
b. what is the dependent variable called?
Sample Covariance. For a set of n data points, the sample covariance, is given by
The sample covariance can be used as an alternative method for tinding the slope and y-intercept of a regression line. The formulas are
where denotes the sample standard deviation of the x-values.
a. Use Equation (4.1) to determine the sample covariance of the data points in Exercise 4,45.
b. Use Equation (4.2) and your answer from part (a) to find the regression equation. Compare your result to that found in Exercise 4.57.
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
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.
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