Introduction to Statistics and Data Analysis
5th Edition
ISBN: 9781305115347
Author: Roxy Peck; Chris Olsen; Jay L. Devore
Publisher: Brooks Cole
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Textbook Question
Chapter 14.3, Problem 40E
The article first introduced in Exercise 14.28 of Section 14.2 in the textbook gave data on the dimensions of 27 representative food products. Use the multiple regression model fit in Exercise 14.28.
- a. Could any of the variables be eliminated from the estimated regression equation for predicting volume?
- b. Predict the volume of a package with a minimum width of 2.5 cm, a maximum width of 3.0 cm, and an elongation of 1.55.
- c. Calculate a 95% prediction interval for the volume of a package with a minimum width of 2.5 cm, a maximum width of 3.0 cm, and an elongation of 1.55.
14.28 This exercise requires the use of a statistical software package. The article “Vital Dimensions in Volume Perception: Can the Eye Fool the Stomach?” (Journal of Marketing Research [1999]: 313-326) gave the data, shown in the table below, on dimensions of 27 representative food products.
- a. Fit a multiple regression model for predicting the volume (in ml) of a package based on its minimum width, maximum width, and elongation score.
- b. Why should we consider adjusted R: instead of R: when evaluating this model?
- c. Carry out a model utility F test.
Table for exercise 14.28
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Students have asked these similar questions
2. ATV Deaths. The number of deaths from all-terrain vehicles for selected years is given in the
table.
Number of
Deaths
Year
a) Create a scatterplot for the data. Graph the
scatterplot below.
b) Determine what type of model is appropriate for the
data.
1995
200
1997
241
1999
398
c) Use the appropriate regression on your calculator to
find a model and store it in Y1. Graph the
regression equation in the same coordinate plane
below.
517
636
2001
2003
2005
467
d) Estimate the years in which the number of ATV
deaths was or will be 300. Discuss the accuracy of
your estimates.
a) draw a scatterplot that is suitable for predicting test scores based on study time.please include labels for the x and y axis
b) determine the shape of the best-fit model for the data (linear , quadratic, exponential, logarithmic sinusoidal). Why?
c) find the best-fit regression model for the following data.
d) what does the residual plot look like?
e) using the model found in predict the score of a who studies for show your for
f)what does a residual of 2 mean in context study time and test be?
Calculate the (Pearson) correlation coefficient between production volume and total costs in this problem. *
a.) 0.8391
b.) 0.9571
c.) 0.9160
d.) 0.9783
Chapter 14 Solutions
Introduction to Statistics and Data Analysis
Ch. 14.1 - Prob. 1ECh. 14.1 - The authors of the paper Weight-Bearing Activity...Ch. 14.1 - Prob. 3ECh. 14.1 - Prob. 4ECh. 14.1 - Prob. 5ECh. 14.1 - Prob. 6ECh. 14.1 - Prob. 7ECh. 14.1 - Prob. 8ECh. 14.1 - Prob. 9ECh. 14.1 - The relationship between yield of maize (a type of...
Ch. 14.1 - Prob. 11ECh. 14.1 - A manufacturer of wood stoves collected data on y...Ch. 14.1 - Prob. 13ECh. 14.1 - Prob. 14ECh. 14.1 - Prob. 15ECh. 14.2 - Prob. 16ECh. 14.2 - State as much information as you can about the...Ch. 14.2 - Prob. 18ECh. 14.2 - Prob. 19ECh. 14.2 - Prob. 20ECh. 14.2 - The ability of ecologists to identify regions of...Ch. 14.2 - Prob. 22ECh. 14.2 - Prob. 23ECh. 14.2 - Prob. 24ECh. 14.2 - Prob. 25ECh. 14.2 - Prob. 26ECh. 14.2 - This exercise requires the use of a statistical...Ch. 14.2 - Prob. 28ECh. 14.2 - The article The Undrained Strength of Some Thawed...Ch. 14.2 - Prob. 30ECh. 14.2 - Prob. 31ECh. 14.2 - Prob. 32ECh. 14.2 - Prob. 33ECh. 14.2 - This exercise requires the use of a statistical...Ch. 14.2 - This exercise requires the use of a statistical...Ch. 14.3 - Prob. 36ECh. 14.3 - Prob. 37ECh. 14.3 - Prob. 38ECh. 14.3 - Prob. 39ECh. 14.3 - The article first introduced in Exercise 14.28 of...Ch. 14.3 - Data from a random sample of 107 students taking a...Ch. 14.3 - Benevolence payments are monies collected by a...Ch. 14.3 - Prob. 43ECh. 14.3 - Prob. 44ECh. 14.3 - Prob. 45ECh. 14.3 - Prob. 46ECh. 14.3 - Exercise 14.26 gave data on fish weight, length,...Ch. 14.3 - Prob. 48ECh. 14.3 - Prob. 49ECh. 14.3 - Prob. 50ECh. 14.4 - Prob. 51ECh. 14.4 - Prob. 52ECh. 14.4 - The article The Analysis and Selection of...Ch. 14.4 - Prob. 54ECh. 14.4 - Prob. 55ECh. 14.4 - Prob. 57ECh. 14.4 - Prob. 58ECh. 14.4 - Prob. 59ECh. 14.4 - Prob. 60ECh. 14.4 - This exercise requires use of a statistical...Ch. 14.4 - Prob. 62ECh. 14 - Prob. 63CRCh. 14 - Prob. 64CRCh. 14 - The accompanying data on y = Glucose concentration...Ch. 14 - Much interest in management circles has focused on...Ch. 14 - Prob. 67CRCh. 14 - Prob. 68CRCh. 14 - Prob. 69CRCh. 14 - A study of pregnant grey seals resulted in n = 25...Ch. 14 - Prob. 71CRCh. 14 - Prob. 72CRCh. 14 - This exercise requires the use of a statistical...
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