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Chapter 14: Q. 14.22 (page 561)

14.22 Tax Efficiency. Tax efficiency is a measure ranging from 0 to 100 - of how much tax due to capital gains stock or mutual funds investors pay on their investments each year, the higher the tax efficiency, the lower the tax. The paper "At the Mercy of the Manager" (Financial Planning, Vol. 30(5), pp. 54-56 ) by C. Israelsen examined the relationship between investments in mutual fund portfolios and their associated tax efficiencies. The following table shows the percentage of investments in energy securities (x)and tax efficiency (y)for 10 mutual fund portfolios.

Short Answer

Expert verified

The assumptions for regression inferences are visually displayed in the picture above, and they appear to be met.

Step by step solution

01

Given Information

Given table:

For regression by the variables under investigation, find the meeting assumptions 1-3.

02

Explanation

Constants 尾0,尾1,and蟽are such that each percentage investment in energy securities (x) has a normal distribution with the mean being 尾0+尾1xand the standard deviation being 蟽.

Graphical representation:

Hence, the assumptions for regression inferences are visually displayed in the picture above, and they appear to be met.

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Most popular questions from this chapter

Study Time and Score. An instructor at Arizona State University asked a random sample of eight students to record their study times in a beginning calculus course. She then made a table for total hours studied (x)over 2weeks and test score (y)at the end of the 2weeks. Here are the results.

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Find a95%prediction interval for the value of the response variable corresponding to the specified value of the predictor variable.

a. Obtain a point estimate for the mean tax efficiency of all mutual fund portfolios with6%of their investments in energy securities.

b. Determine a95%confidence interval for the mean tax efficiency of all mutual fund portfolios with6%of their investments in energy securities.

c. Find the predicted tax efficiency of a mutual fund portfolio with 6%of its investments in energy securities.

d. Determine a 95%prediction interval for the tax efficiency of a mutual fund portfolio with 6%of its investments in energy securities.

In this Exercise 14.53, we repeat the information from Exercise 14.17.

a. Decide, at the 10%significance level, whether the data provide sufficient evidence to conclude that xis useful for predicting y:

b. Find a 90%confidence interval for the slope of the population regression line.

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