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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 (%) 30 110 110 110 110 121 121 121 121 132 132 132 132 143 143 143 143 40 50 60 30 40 50 60 30 40 50 60 30 40 50 60 70.27 74.95 77.91 82.69 73.43 73.14 78.27 74.89 69.07 70.83 79.18 78.1 73.71 77.7 74.31 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 the yield is unaffected by temperature, 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.

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 (%) 30 110 110 110 110 121 121 121 121 132 132 132 132 143 143 143 143 40 50 60 30 40 50 60 30 40 50 60 30 40 50 60 70.27 74.95 77.91 82.69 73.43 73.14 78.27 74.89 69.07 70.83 79.18 78.1 73.71 77.7 74.31 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 the yield is unaffected by temperature, 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.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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 (%) 30 110 110 110 110 121 121 121 121 132 132 132 132 143 143 143 143 40 50 60 30 40 50 60 30 40 50 60 30 40 50 60 70.27 74.95 77.91 82.69 73.43 73.14 78.27 74.89 69.07 70.83 79.18 78.1 73.71 77.7 74.31 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 the yield is unaffected by temperature, 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.
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 (%) 30 110 110 110 110 121 121 121 121 132 132 132 132 143 143 143 143 40 50 60 30 40 50 60 30 40 50 60 30 40 50 60 70.27 74.95 77.91 82.69 73.43 73.14 78.27 74.89 69.07 70.83 79.18 78.1 73.71 77.7 74.31 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 the yield is unaffected by temperature, 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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