Student Solutions Manual for Devore's Probability and Statistics for Engineering and the Sciences, 9th
9th Edition
ISBN: 9798214004020
Author: Jay L. Devore
Publisher: Cengage Learning US
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Chapter 13, Problem 78SE
a.
To determine
Interpret for the number –0.0003020 given in the column of Coef.
b.
To determine
Identify whether the fiber contentprovides useful information to explain the variation in seepage velocity.
Test using appropriate hypothesis.
c.
To determine
Identify whether there is any evidence to conclude that the average seepage velocity is some value other than 0.10.
Test using appropriate hypotheses at 5% level of significance
d.
To determine
Identify whether at least one of the second order predictors give useful information about seepage velocity than the first order predictors.
Test using appropriate hypothesis.
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Snowpacks contain a wide spectrum of pollutants thatmay represent environmental hazards. The article“Atmospheric PAH Deposition: Deposition Velocitiesand Washout Ratios” (J. of EnvironmentalEngineering, 2002: 186–195) focused on the depositionof polyaromatic hydrocarbons. The authors proposeda multiple regression model for relating depositionover a specified time period (y, in mg/m2) to tworather complicated predictors x1 (mg-sec/m3) and x2 (mg/m2), defined in terms of PAH air concentrations forvarious species, total time, and total amount of precipitation.Here is data on the species fluoranthene andcorresponding Minitab output:obs x1 x2 flth1 92017 .0026900 278.782 51830 .0030000 124.533 17236 .0000196 22.654 15776 .0000360 28.685 33462 .0004960 32.666 243500 .0038900 604.707 67793 .0011200 27.698 23471 .0006400 14.189 13948 .0004850 20.6410 8824 .0003660 20.6011 7699 .0002290 16.6112 15791 .0014100 15.0813 10239 .0004100 18.0514 43835 .0000960 99.7115 49793 .0000896 58.9716 40656…
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A researcher interested in explaining the level of foreign reserves for the country of
Barbados estimated the following multiple regression model using yearly data
spanning the period 2001 to 2016:
FR=a+BOIL+yEXP+8FDI
Where FR = yearly foreign reserves ($000's), OIL = annual oil prices, EXP =
yearly total exports ($000's) and FDI = annual foreign direct investment ($000's).
The sample of data was processed using MINITAB and the following is an extract
of the output obtained:
Predictor
Сoef
StDev
t-ratio
p-value
Constant
5491.38
2508.81
2.1888
0.0491
OIL
85.39
18.46
4.626
0.0006
EXP
-377.08
112.19
0.0057
FDI
-396.99
160.66
-2.471
**
S = 2.45
R-sq
96.3%
R-sq (adj)
95.3%
Analysis of Variance
Source
DF
MS
F
Regression
1991.31
663.77
??
Error
12
77.4
6.45
Total
15
a) What is dependent and independent variables?
b) Fully write out the regression equation
c) Fill in the missing values *', ***', '?'and ??'
d) Hence test whether B is significant. Give reasons for your answer.
e) Perform the F…
Chapter 13 Solutions
Student Solutions Manual for Devore's Probability and Statistics for Engineering and the Sciences, 9th
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