EBK STATISTICS FOR THE BEHAVIORAL SCIEN
3rd Edition
ISBN: 9781506386249
Author: PRIVITERA
Publisher: VST
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Chapter 15, Problem 7FP
To determine
Explain what is coefficient of determination.
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It is thought that prehistoric Native Americans did not take their best tools, pottery, and household items when they visited higher elevations for their summer camps. It is hypothesized that archaeological sites tend to lose their cultural identity and specific cultural affiliation as the elevation of the site increases. Let x be the elevation (in thousands of feet) for an archaeological site in the southwestern United States. Let y be the percentage of unidentified artifacts (no specific cultural affiliation) at a given elevation. Suppose that the following data were obtained for a collection of archaeological sites in New Mexico:
x
5.50
6.00
6.75
7.00
7.75
y
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92
70
99
Find the equation of the least squares line . Round a and b to three decimal places.
A fitness trainer wants to estimate the effect of fitness activities on muscle mass for different weight categories of club members. They choose the most popular fitness classes at the gym: yoga, circuit training, and high-intensity interval training (HIIT). Suppose that the weights of club members are separated into three levels: under 155 pounds, 155 – 200 pounds, and over 200 pounds. Draw a flow chart showing the design of this experiment.
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 %…
Chapter 15 Solutions
EBK STATISTICS FOR THE BEHAVIORAL SCIEN
Ch. 15.2 - Prob. 1.1LCCh. 15.2 - Prob. 1.2LCCh. 15.2 - Prob. 1.3LCCh. 15.2 - Prob. 1.4LCCh. 15.2 - Prob. 1.5LCCh. 15.4 - Prob. 2.1LCCh. 15.4 - Prob. 2.2LCCh. 15.4 - Prob. 2.3LCCh. 15.4 - Prob. 2.4LCCh. 15.6 - Prob. 3.1LC
Ch. 15.6 - Prob. 3.2LCCh. 15.6 - Prob. 3.3LCCh. 15.6 - Prob. 3.4LCCh. 15.8 - Prob. 4.1LCCh. 15.8 - Prob. 4.2LCCh. 15.8 - Prob. 4.3LCCh. 15.10 - Prob. 5.1LCCh. 15.10 - Prob. 5.2LCCh. 15.10 - Prob. 5.3LCCh. 15.12 - Prob. 6.1LCCh. 15.12 - Prob. 6.2LCCh. 15 - Prob. 1FPCh. 15 - Prob. 2FPCh. 15 - Prob. 3FPCh. 15 - Prob. 4FPCh. 15 - Prob. 5FPCh. 15 - Prob. 6FPCh. 15 - Prob. 7FPCh. 15 - Prob. 8FPCh. 15 - Prob. 9FPCh. 15 - Prob. 10FPCh. 15 - Prob. 11CAPCh. 15 - Prob. 12CAPCh. 15 - Prob. 13CAPCh. 15 - Prob. 14CAPCh. 15 - Prob. 15CAPCh. 15 - Prob. 16CAPCh. 15 - Prob. 17CAPCh. 15 - Prob. 18CAPCh. 15 - Prob. 19CAPCh. 15 - Prob. 20CAPCh. 15 - Prob. 21CAPCh. 15 - Prob. 22CAPCh. 15 - Prob. 23CAPCh. 15 - Prob. 24CAPCh. 15 - Prob. 25CAPCh. 15 - Prob. 26CAPCh. 15 - Prob. 27CAPCh. 15 - Prob. 28CAPCh. 15 - Prob. 29CAPCh. 15 - Prob. 30CAPCh. 15 - Prob. 31CAPCh. 15 - Prob. 32PRCh. 15 - Prob. 33PRCh. 15 - Prob. 34PRCh. 15 - Prob. 35PRCh. 15 - Prob. 36PR
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