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.

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter4: Exponential And Logarithmic Functions
Section: Chapter Questions
Problem 16CC
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a )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.

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
110
30
70.27
32
34
36
38
40
42
44
72.29
72.57
74.69
76.09
73.14
75.61
69.56
74.41
73.49
111
111
112
112
114
114
117
46
48
50
52
117
122
79.18
75.44
81.71
122
130
54
56
60
62
130
83.03
137
76.98
137
80.99
Transcribed Image Text: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 (%) 110 110 30 70.27 32 34 36 38 40 42 44 72.29 72.57 74.69 76.09 73.14 75.61 69.56 74.41 73.49 111 111 112 112 114 114 117 46 48 50 52 117 122 79.18 75.44 81.71 122 130 54 56 60 62 130 83.03 137 76.98 137 80.99
The result is unlikely to be due to confounding, since the correlation between temperature and stirring rate is far from 0.
The result is unlikely to be due to confounding, since the correlation between temperature and stirring rate is close to 0.
The result might be due to confounding, since the correlation between temperature and stirring rate is far from 0.
The result might be due to confounding, since the correlation between temperature and stirring rate is close to 0.
Transcribed Image Text:The result is unlikely to be due to confounding, since the correlation between temperature and stirring rate is far from 0. The result is unlikely to be due to confounding, since the correlation between temperature and stirring rate is close to 0. The result might be due to confounding, since the correlation between temperature and stirring rate is far from 0. The result might be due to confounding, since the correlation between temperature and stirring rate is close to 0.
Expert Solution
Given

The correlation between temperature and stirring rate is

r = 0.9467

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