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Chapter 4: Q. 4.87 (page 181)
For regression analysis, and .
a. Obtain and interpret the coefficient of determination.
b. Determine SSE :
a)
Interpretation: Since the value obtained above is closer to 1 then evidently the variation in the observed variable is explained by the regression.
b)
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Determine the linear correlation coefficient by formula and definition.
Tax Efficiency. In Exercise 4.58, you determined a regression equation that relates the variables percentage of investments in energy securities and tax efficiency for mutual fund portfolios.
a. Should that regression equation be used to predict the tax efficiency of a mutual fund portfolio with of its investments in energy securities? with of its investments in energy securities? Explain your answers.
b. For which percentages of investments in energy securities is use of the regression equation to predict tax efficiency reasonable?
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.
High and Low Temperature. The data from Exercise 4.75 for average high and low temperatures in January for a random sample of cities are on the WeissStats site.
a. decide whether 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 variables in question.
4.78 Gas Guzzlers. The magazine Consumer Reports publishes information on automobile gas mileage and variables that affect gas mileage. In one issue, data on gas mileage (in miles per gallon) and engine displacement (in liters) were published for vehicles. Those data are available 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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