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Chapter 14: Q.14.23 (page 561)

Corvette Prices. The Kelley Blue Book provides information on wholesale and retail prices of cars. Following are age and price data for 10 randomly selected Corvettes between 1and 6 years old. Here, xdenotes age, in years, and ydenotes price, in hundreds of dollars.

Short Answer

Expert verified

The residuals are roughly centered and symmetric about the x-axis in a horizontal band. The normal probability plot for the residuals can likewise be described as (almost) linear, albeit the deviation from linearity is significant enough to raise some concerns.

Step by step solution

01

Given Information

Given data:

02

Explanation

Satisfying regression-inference assumptions 1-3requires that there are constants β0,β1and σ, such that, for each age, x, the prices of all Corvette of that age are normally distributed with mean β0,β1xand standard deviation σ.

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Most popular questions from this chapter

PCBs and Pelicans. Use the data points given on the WeissStats site for shell thickness and concentration of PCBs for 60Anacapa pelican eggs referred to in Exercise 14.40.

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.

14.97 Study Time and Score. Following are the data on total hours studied over 2 weeks and test score at the end of the 2 weeks from Exercise 14.27.

x
10
15
12
20
8
16
14
22
y
91
81
84
74
85
80
84
80


a. Determine a point estimate for the mean test score of all beginning calculus students who study for 15hours.
b. Find a 99% confidence interval for the mean test score of all beginning calculus students who study for 15 hours.
c. Find the predicted test score of a beginning calculus student who studies for 15 hours.
d. Determine a 99% prediction interval for the test score of a beginning calculus student who studies for 15hours.

In Exercises 14.12-14.21, we repeat the data and provide the sample regression equations for Exercises 4.48 -4.57.

a. Determine the standand error of the estimate.

b. Construct a residual plot.

c. Construct a normal probability plot of the residuals.

Suppose that x and y are predictor and response variables, respectively, of a population. Consider the population that consists of all members of the original population that have a specified value of the predictor variable. The distribution, mean, and standard deviation of the response variable for this population are called the______, ______ and _____ respectively, corresponding to the specified value of the predictor variable.

Crown-Rump Length. In the article "The Human Vomeronasal Organ. Part II: Prenatal Development" (Joumal of Anatomy, Vol. 197, Issue 3, pp. 421-436), T. Smith and K. Bhatnagar examined the controversial issue of the human vomeronasal organ, regarding its structure, function, and identity. The following table shows the age of fetuses (x), in weeks, and length of crown-rump (y), in millimeters.
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