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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Chapter 14, Problem 64CR
a.
To determine
Test whether the model is useful or not.
b.
To determine
Calculate the value of adjusted
c.
To determine
Test whether variable
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A newspaper used an estimated regression equation to describe the relationship between y = error percentage for subjects reading a four-digit liquid crystal display and the independent variables x1 = level of backlight, x2 = character subtense, x3 = viewing angle, and x4 = level of ambient light. From a table given in the article, SSRegr = 21.6, SSResid = 22, and n = 30.
What is the value of the test statistic F
What is the P-value
What is r2
What is Se
2. A study is conducted in patients with HIV. The primary outcome is CD4 cell count which is a
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use of supplements(coded as l ves, 0-no) and to duration of HIV, in years(ie., the number of
years between the diagnosis of HIV and the study date). For the analysis, Y-CD4 count.
Y 501.41
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9(20 pts). Correlation analysis and Simple Linear Regression. A study is con-
ducted with a group of dieters to see if the number of grams of fat each consumes per
day, x, is related to cholesterol level y. The data are shown in Spreadsheet "Question 8":
Fat Grams x: 6.8 5.5 8.2 10 8.6 9.1 8.6 10.4 5.9 6.3 7.6 8 8.5 7.9 5.9 6.7 9.1 10.1 9.5 8.9
Cholesterol Level y: 212 192 193 263 222 250 190 249 190 185 192 201 215 189 203 194
241 256 255 245
pole sta
ber of
of perm
lity o
n = 20,
Στ = 161.6,
y = 216.85,
Σ Υ = 4337,
= 8.08,
Σν = 955159.
Στ? = 1347.52, Σ y = 35671.5,
(a) Compute the value of the correlation coefficient, r, between x and y.
(b) Test if the population correlation coefficient p > 0.5 at a = 0.05.
(c) Determine the regression line equation y' = a + bx.
(d) Predict the cholesterol level of a dieter who consumes x = 8.5 grams of fat per day.
(e) Find the 90% prediction interval of the cholesterol level of a person who consumes
x=8.5 grams of fat per day.
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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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