Statistics for Engineers and Scientists (Looseleaf)
4th Edition
ISBN: 9780073515687
Author: Navidi
Publisher: MCG
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Textbook Question
Chapter 7.1, Problem 7E
A chemical engineer is studying the effect of temperature and stirring rate on the yield of a certain product. The process is run 16 times, at the settings indicated in the following table. The units for yield are percent of a theoretical maximum.
Temperature (°C) |
Stirring Rate (rpm) | Yield (%) |
110 | 30 | 70.27 |
110 | 32 | 72.29 |
111 | 34 | 72.57 |
111 | 36 | 74.69 |
112 | 38 | 76.09 |
112 | 40 | 73.14 |
114 | 42 | 75.61 |
114 | 44 | 69.56 |
117 | 46 | 74.41 |
117 | 48 | 73.49 |
122 | 50 | 79.18 |
122 | 52 | 75.44 |
130 | 54 | 81.71 |
130 | 56 | 83.03 |
143 | 58 | 76.98 |
143 | 60 | 80.99 |
- a. Compute the
correlation between temperature and yield, between stirring rate and yield, and between temperature and stirring rate. - b. Do these data provide good evidence that increasing the temperature causes the yield to increase, within the
range of the data? Or might the result be due to confounding? Explain. - c. Do these data provide good evidence that increasing the stirring rate causes the yield to increase, within the range of the data? Or might the result be due to confounding? Explain.
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Check out a sample textbook solutionStudents have asked these similar questions
A chemical engineer is studying the effect of temperature and stining rate on the yield of a
certain product. The process is run 16 times, at the settings indicated in the following table.
The units for yield are percent of a theoretical maximum.
Temperature (*C)
Stirring Rate (1pm)
Yield (%)
110
30
70.27
110
32
72.29
111
34
72.57
111
36
74.69
112
38
76.09
112
40
73.14
114
75.61
114
44
69.56
117
74.41
117
73.49
122
79.18
122
52
75.44
130
54
81.71
130
56
83.03
143
58
76.98
143
60
80.99
Compute the correlation between temperature and yield, between stinring rate and
yield, and between temperature and stiring rate.
Do these data provide good evidence that increasing the temperature causes the yield
to increase, within the range of the data? Or might the result be due to confounding?
Explain.
Do these data provide good evidence that increasing the stiring rate causes the yield to
increase, within the range of the data? Or might the result be due to confounding?
Explain.
a.
Б.
C.
A farmer in Indiana wants to examine the relation between the number of very hot days (days when the high
temperature exceeds 95° F) and the corn production of his farm (in bushels of corn per acre). He looks at
the data for 10 summers.
Let x¡ = the number of hot days during the ith summer.
%3D
= the corn production (in bushels per acre) during the ih summer.
Let yi
The data are in the table below:.
4
6.
7
8.
9.
10
i
2
14
10
7.
8.
1
12
Xi
Yi
95
80
83
87
88
85
99
102
79
95
a) Make a scatterplot of the data.
b) Examine your scatterplot and, without performing any calculations, EXPLAIN whether you expect
the correlation coefficient to be closer to -1, 0, or 1 and WHY.
c) Find the sample mean and standard deviation for each variable.
%3D
%3D
S.
%3D
y
d) Place an asterisk on your scatterplot at the point (x,ỹ).
Pls help ASAP. Pls show all work.
Chapter 7 Solutions
Statistics for Engineers and Scientists (Looseleaf)
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Ch. 7.1 - Prob. 12ECh. 7.1 - Prob. 13ECh. 7.1 - A scatterplot contains four points: (2, 2), (1,...Ch. 7.2 - Each month for several months, the average...Ch. 7.2 - In a study of the relationship between the Brinell...Ch. 7.2 - A least-squares line is fit to a set of points. If...Ch. 7.2 - Prob. 4ECh. 7.2 - In Galtons height data (Figure 7.1, in Section...Ch. 7.2 - In a study relating the degree of warping, in mm....Ch. 7.2 - Moisture content in percent by volume (x) and...Ch. 7.2 - The following table presents shear strengths (in...Ch. 7.2 - Structural engineers use wireless sensor networks...Ch. 7.2 - The article Effect of Environmental Factors on...Ch. 7.2 - An agricultural scientist planted alfalfa on...Ch. 7.2 - Curing times in days (x) and compressive strengths...Ch. 7.2 - Prob. 13ECh. 7.2 - An engineer wants to predict the value for y when...Ch. 7.2 - A simple random sample of 100 men aged 2534...Ch. 7.2 - Prob. 16ECh. 7.3 - A chemical reaction is run 12 times, and the...Ch. 7.3 - Structural engineers use wireless sensor networks...Ch. 7.3 - Prob. 3ECh. 7.3 - Prob. 4ECh. 7.3 - Prob. 5ECh. 7.3 - Prob. 6ECh. 7.3 - The coefficient of absorption (COA) for a clay...Ch. 7.3 - Prob. 8ECh. 7.3 - Prob. 9ECh. 7.3 - Three engineers are independently estimating the...Ch. 7.3 - In the skin permeability example (Example 7.17)...Ch. 7.3 - Prob. 12ECh. 7.3 - In a study of copper bars, the relationship...Ch. 7.3 - Prob. 14ECh. 7.3 - In the following MINITAB output, some of the...Ch. 7.3 - Prob. 16ECh. 7.3 - In order to increase the production of gas wells,...Ch. 7.4 - The following output (from MINITAB) is for the...Ch. 7.4 - The processing of raw coal involves washing, in...Ch. 7.4 - To determine the effect of temperature on the...Ch. 7.4 - The depth of wetting of a soil is the depth to...Ch. 7.4 - Good forecasting and control of preconstruction...Ch. 7.4 - The article Drift in Posturography Systems...Ch. 7.4 - Prob. 7ECh. 7.4 - Prob. 8ECh. 7.4 - A windmill is used to generate direct current....Ch. 7.4 - Two radon detectors were placed in different...Ch. 7.4 - Prob. 11ECh. 7.4 - The article The Selection of Yeast Strains for the...Ch. 7.4 - Prob. 13ECh. 7.4 - The article Characteristics and Trends of River...Ch. 7.4 - Prob. 15ECh. 7.4 - The article Mechanistic-Empirical Design of...Ch. 7.4 - An engineer wants to determine the spring constant...Ch. 7 - The BeerLambert law relates the absorbance A of a...Ch. 7 - Prob. 2SECh. 7 - Prob. 3SECh. 7 - Refer to Exercise 3. a. Plot the residuals versus...Ch. 7 - Prob. 5SECh. 7 - The article Experimental Measurement of Radiative...Ch. 7 - Prob. 7SECh. 7 - Prob. 8SECh. 7 - Prob. 9SECh. 7 - Prob. 10SECh. 7 - The article Estimating Population Abundance in...Ch. 7 - A materials scientist is experimenting with a new...Ch. 7 - Monitoring the yield of a particular chemical...Ch. 7 - Prob. 14SECh. 7 - Refer to Exercise 14. Someone wants to compute a...Ch. 7 - Prob. 16SECh. 7 - Prob. 17SECh. 7 - Prob. 18SECh. 7 - Prob. 19SECh. 7 - Use Equation (7.34) (page 545) to show that 1=1.Ch. 7 - Use Equation (7.35) (page 545) to show that 0=0.Ch. 7 - Prob. 22SECh. 7 - Use Equation (7.35) (page 545) to derive the...
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