Probability and Statistics for Engineers and Scientists
9th Edition
ISBN: 9780321629111
Author: Ronald E. Walpole, Raymond H. Myers, Sharon L. Myers, Keying Ye
Publisher: Prentice Hall
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Chapter 11.12, Problem 62RE
To determine
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The systolic blood pressure of individuals is thought to be related to both age and weight. Let the systolic blood pressure, age, and weight be represented by the variables x1, x2, and x3, respectively. Suppose that Minitab was used to generate the following descriptive statistics, correlations, and regression analysis for a random sample of 15 individuals.
Descriptive Statistics
Variable
N
Mean
Median
TrMean
StDev
SE Mean
x 1
15
154.14
154.34
154.14
3.842
0.992000
x 2
15
59.69
60.19
59.69
1.462
0.377487
x 3
15
205.55
204.75
205.55
4.558
1.176871
Variable
Minimum
Maximum
Q1
Q3
x 1
125
178
141.803
167.244
x 2
41
80
47.754
78.415
x 3
126
240
140.395
224.008
Correlations (Pearson)
x 1
x 2
x 2
0.892
x 3
0.839
0.567
Regression Analysis
The regression equation is
x 1 = 0.883 + 1.257x2 + 0.871x3
Predictor
Coef
StDev
T
P
Constant
0.883
0.635
1.39
0.095
x 2
1.257
0.635
1.98
0.036
x 3
0.871
0.419
2.08
0.030
S = 0.428
R-sq = 92.7 %…
According to health professionals, a person’s weight is expected to increase with age. To examine that statement, a nutritionist collected data from 11 random females from different age categories between the ages of 21 and 43. In the following table, x is the age of a person and y is the weight in pounds.
x, age
21
24
27
29
31
33
35
38
40
42
43
y, weight in lb
121.4
122.3
130.3
131.7
133.3
134.6
136.7
138.4
140.3
142.0
145.1
Select the correct graph of the least-squares line on a scatter diagram.
Let x be a random variable that represents the percentage of successful free throws a professional basketball player makes in a season. Let y be a random variable that represents the percentage of successful field goals a professional basketball player makes in a season. A random sample of n = 6 professional basketball players gave the following information.
x
82
69
73
84
74
64
y
42
48
46
46
46
42
Verify that ∑x =446, ∑y =270, ∑x2 =33,442, ∑y2 =12,180, ∑xy =20,070, and r = 0, and find the critical value for a test using a 5% level of significance claiming that ρis not equal than zero. Round your answer to three decimal places.
Chapter 11 Solutions
Probability and Statistics for Engineers and Scientists
Ch. 11.3 - A study was conducted at Virginia Tech to...Ch. 11.3 - The grades of a class of 9 students on a midterm...Ch. 11.3 - The amounts of a chemical compound y that...Ch. 11.3 - The following data were collected to determine the...Ch. 11.3 - A study was made on the amount of converted sugar...Ch. 11.3 - In a certain type of metal test specimen, the...Ch. 11.3 - The following is a portion of a classic data set...Ch. 11.3 - Prob. 8ECh. 11.3 - Prob. 9ECh. 11.3 - Prob. 10E
Ch. 11.3 - The thrust of an engine (y) is a function of...Ch. 11.3 - Prob. 12ECh. 11.3 - A study of the amount of rainfall and the quantity...Ch. 11.3 - Prob. 14ECh. 11.6 - With reference to Exercise 11.1 on page...Ch. 11.6 - Prob. 16ECh. 11.6 - Prob. 17ECh. 11.6 - Prob. 18ECh. 11.6 - Prob. 19ECh. 11.6 - Prob. 20ECh. 11.6 - Prob. 21ECh. 11.6 - Prob. 22ECh. 11.6 - Prob. 23ECh. 11.6 - Prob. 25ECh. 11.6 - Prob. 26ECh. 11.6 - Prob. 27ECh. 11.6 - Prob. 28ECh. 11.6 - Prob. 29ECh. 11.6 - Prob. 30ECh. 11.9 - Prob. 31ECh. 11.9 - Prob. 32ECh. 11.9 - Prob. 33ECh. 11.9 - Prob. 34ECh. 11.9 - Prob. 35ECh. 11.9 - Prob. 36ECh. 11.9 - Prob. 37ECh. 11.9 - Prob. 38ECh. 11.9 - A regression model is desired relating temperature...Ch. 11.9 - Prob. 40ECh. 11.9 - Prob. 41ECh. 11.9 - Prob. 42ECh. 11.12 - Prob. 43ECh. 11.12 - Prob. 44ECh. 11.12 - Prob. 45ECh. 11.12 - Prob. 46ECh. 11.12 - Prob. 47ECh. 11.12 - With reference to Exercise 11.8 on page 399,...Ch. 11.12 - Prob. 49RECh. 11.12 - Prob. 50RECh. 11.12 - Prob. 51RECh. 11.12 - Prob. 52RECh. 11.12 - Prob. 53RECh. 11.12 - Prob. 54RECh. 11.12 - Prob. 55RECh. 11.12 - Prob. 56RECh. 11.12 - Prob. 57RECh. 11.12 - Prob. 58RECh. 11.12 - Prob. 59RECh. 11.12 - Prob. 60RECh. 11.12 - Prob. 61RECh. 11.12 - Prob. 62RECh. 11.12 - Prob. 63RECh. 11.12 - Prob. 64RECh. 11.12 - Prob. 65RECh. 11.12 - Prob. 66RECh. 11.12 - Prob. 67RE
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