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Chapter 14: Q.14.101 (page 580)

Acreage and Value. The data from Exercise 14.37for lot size (in acres) and assessed value (in thousands of dollars) of a sample of homes in a particular area are on the WeissStats site. Specified value of the predictor variable: 2.5acres.

Short Answer

Expert verified

It is not applying the conditional mean and predicted value t-interval procedure to the given data in a reasonable manner. As a result, parts (b) through (f) are omitted.

Step by step solution

01

Given information

To determine whether the conditional mean and predated value t-interval procedures can be applied to data.

02

Explanation

Given that,


Calculation:
Using the data from Exercise 14.37, determine whether it is reasonable to apply the conditional mean and predated value t-interval procedure to data.
  • The residual plot clearly shows that the residuals are in the horizontal band.
  • The normal probability plot of residuals reveals that the residuals follow a roughly linear pattern.
  • As a result, for the variables value and lot size, assumptions 1-3for regression inferences are not violated. However, it is clear from Exercise 14.73that the observations do not follow a linear pattern.
03

Part 3: Conclusion

As a result, applying the conditional mean and predicted value t-interval procedure to the given data is not reasonable. As a result, parts (b) through (f) are omitted.

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Most popular questions from this chapter

To find and interpret a confidence interval, at the specified confidence level 90%for the slope of the population regression line that relates the response variables to the predictor variable.


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.

Gas Guzzlers. Use the data on the WeissStats site for gas mileage and engine displacement for 121 vehicles referred to in Exercise 14.41.

Body Fat. In the paper "Total Body Composition by Dual-Photon ( G153id) Absorptiometry" (American Journal of Clinical Nutrition, Vol.40,pp.834-839), R. Mazess et al. studied methods for quantifying body composition. Eighteen randomly selected adults were measured for percentage of body fat, using dual-photon absorptiometry. Each adult's age and percentage of body fat are shown on the WeissStats site.

a. Decide whether you can reasonably apply the regression t-test. If so, then also do part (b).

b. Decide, at the 5%significance level, whether the data provide sufficient evidence to conclude that the predictor variable is useful for predicting the response variable.

14.95 Plant Emissions. Following are the data on plant weight and quantity of volatile emissions from Exercise 14.25.

x
57
85
57
65
52
67
62
80
77
53
68
y
8.0
22.0
10.5
22.5
12.0
11.5
7.5
13.0
16.5
21.0
12.0

a. Obtain a point estimate for the mean quantity of volatile emissions of all (Solanum tuberosum) plants that weigh 60g.
b. Find a 95%confidence interval for the mean quantity of volatile emissions of all plants that weigh 60g.
c. Find the predicted quantity of volatile emissions for a plant that weighs 60g.
d. Determine a 95%prediction interval for the quantity of volatile emissions for a plant that weighs 60g.
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