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Chapter 14: Q 14.15 (page 561)

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 standard error of the estimate.

b. Construct a residual plot.

c. Construct a normal probability plot of the residuals.

Short Answer

Expert verified

The standard error of the estimate is鈮�1.73.

Step by step solution

01

Part a Step 1 Given Information

02

Part a Step 2 Explanation

From the above Analysis of variance printout,

We haveSSE=6

df=n-2

=4-2

=2

The formula for the standard error of the estimate is given by.

se=SSEn-2

=62

=3

鈮�1.73

Hence, the standard error of the estimate is鈮�1.73.

03

Part b Step 1 Given Information

04

Part b Step 2 Explanation

It is the residual plot

05

Part c Step 1 Given Information

06

Part c Step 2 Explanation

As a result, the normal probability plot of the residuals

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Most popular questions from this chapter

In this Exercise 14.5, we repeat the information from Exercise 14.14.

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.

x04312y19843 y^=1+2x

In Exercises 14.98-14.108, use the technology of your choice to do the following tasks.
a. Decide whether your can reasonably apply the conditional mean and predicted value t-interval procedures to the data. If so, then also do parts (b) - (h).
b. Determine and interpret a point estimate for the conditional mean of the response variable corresponding to the specified value of the predictor variable.
c. Find and interpret a 95%Te confidence interval for the conditional mean of the response variable corresponding to the specified value of the predictor variable.
d. Determine and interpret the predicted value of the response variable corresponding to the specified value of the predictor variable.
e. Find and interpret a 95%prediction interval for the value of the response variable corresponding to the specified value of the predictor variable.
f. Compare and discuss the differences between the confidence interval that you obtained in part (c) and the prediction interval that you obtained in part (e).

14.10 PCBs and Pelicans. The data from Exercise 14.40for shell thickness and concentration of PCBs of 60Anacapa pelican eggs are on the WeissStats site. Specified value of the predictor variable: 220ppm.

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

State the four conditions required for making regression inferences.

14.96 Crown-Rump Length. Following are the data on age of fetuses and length of crown-rump from Exercise 14.26.

x
10
10
13
13
18
19
19
23
25
28
y
66
66
108
106
161
166
177
288
235
280

a. Determine a point estimate for the mean crown-rump length of all 19-week-old fetuses.
b. Find a 90% confidence interval for the mean crown-rump length of all 19-week-old fetuses.
c. Find the predicted crown-rump length of a 19-week-old fetus.

d. Determine a 90%prediction interval for the crown-rump length of a 19 -week-old fetus.
See all solutions

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