Two chemical engineers, A and B, are working independently to develop a model to predict the viscosity of a product (y) from the pH (x1) and the concentration of a certain catalyst (x2). Each engineer has fit the linear model y =A +hr, + B;x; +r The engineers have sent you output summarizing their results: Engineer A Predictor Constant тР Coef SE Coef 199.2 0.5047 394.7 0.000 -1.569 pH Concent. -4.730 0.5857 -8.08 0.000 0.4558 -3.44 0.007 Engineer B Predictor Coef Constant 199.0 0.548 SE Coef T 363.1 0.000 pH Concent. -3.636 1.952 -1.256 1.983 -0.63 0.544 -1.86 0.112 The engineers have also sent you the following scatterplots of pH versus concentration, but forgot to put their names on them. Concentration Concentration Which plot came from which engineer? How do you know? Which engineer's experiment produced the more reliable results? Explain. a. b.

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter12: Algebra Of Matrices
Section12.CR: Review Problem Set
Problem 37CR
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Two chemical engineers, A and B, are working independently to develop a model to predict
the viscosity of a product (y) from the pH (x1) and the concentration of a certain catalyst
(x2). Each engineer has fit the linear model
y =A +hr, + B;x; +r
The engineers have sent you output summarizing their results:
Engineer A
Predictor
Constant
тР
Coef SE Coef
199.2 0.5047 394.7 0.000
-1.569
pH
Concent. -4.730 0.5857 -8.08 0.000
0.4558 -3.44 0.007
Engineer B
Predictor Coef
Constant 199.0 0.548
SE Coef T
363.1 0.000
pH
Concent. -3.636 1.952
-1.256 1.983
-0.63 0.544
-1.86 0.112
The engineers have also sent you the following scatterplots of pH versus concentration,
but forgot to put their names on them.
Concentration
Concentration
Which plot came from which engineer? How do you know?
Which engineer's experiment produced the more reliable results? Explain.
a.
b.
Transcribed Image Text:Two chemical engineers, A and B, are working independently to develop a model to predict the viscosity of a product (y) from the pH (x1) and the concentration of a certain catalyst (x2). Each engineer has fit the linear model y =A +hr, + B;x; +r The engineers have sent you output summarizing their results: Engineer A Predictor Constant тР Coef SE Coef 199.2 0.5047 394.7 0.000 -1.569 pH Concent. -4.730 0.5857 -8.08 0.000 0.4558 -3.44 0.007 Engineer B Predictor Coef Constant 199.0 0.548 SE Coef T 363.1 0.000 pH Concent. -3.636 1.952 -1.256 1.983 -0.63 0.544 -1.86 0.112 The engineers have also sent you the following scatterplots of pH versus concentration, but forgot to put their names on them. Concentration Concentration Which plot came from which engineer? How do you know? Which engineer's experiment produced the more reliable results? Explain. a. b.
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