An experiment was performed in chemical engineering in order to investigate the conditions most appropriate to efficiently convert n-heptane to acetylene. (These are chemicals used as fuel, amongst other things.) The experiment consisted of 16 runs. The response variable, y, was the amount of n-heptane converted to acetylene, expressed as a percentage. There were two explanatory variables: ₁: the temperature (°C) at which the experimental run took place; 2: the 'mole ratio' of hydrogen to n-heptane. The multiple regression model fitted to the data from this experiment is y=-130.7 +0.1341 +0.351x2. (You may assume that a graphical analysis of residuals suggests that this model fits well.) (i) Interpret what the values of the two regression coefficients tell us about the conversion of n-heptane to acetylene. (ii) What, according to the fitted model, is the predicted conversion
An experiment was performed in chemical engineering in order to investigate the conditions most appropriate to efficiently convert n-heptane to acetylene. (These are chemicals used as fuel, amongst other things.) The experiment consisted of 16 runs. The response variable, y, was the amount of n-heptane converted to acetylene, expressed as a percentage. There were two explanatory variables: ₁: the temperature (°C) at which the experimental run took place; 2: the 'mole ratio' of hydrogen to n-heptane. The multiple regression model fitted to the data from this experiment is y=-130.7 +0.1341 +0.351x2. (You may assume that a graphical analysis of residuals suggests that this model fits well.) (i) Interpret what the values of the two regression coefficients tell us about the conversion of n-heptane to acetylene. (ii) What, according to the fitted model, is the predicted conversion
MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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![An experiment was performed in chemical engineering in order to
investigate the conditions most appropriate to efficiently convert
n-heptane to acetylene. (These are chemicals used as fuel, amongst
other things.) The experiment consisted of 16 runs. The response
variable, y, was the amount of n-heptane converted to acetylene,
expressed as a percentage. There were two explanatory variables:
T₁: the temperature (°C) at which the experimental run took place;
12: the 'mole ratio of hydrogen to n-heptane.
The multiple regression model fitted to the data from this experiment is
y = -130.7+0.134 z1 +0.351 22.
(You may assume that a graphical analysis of residuals suggests that
this model fits well.)
(i) Interpret what the values of the two regression coefficients tell us
about the conversion of n-heptane to acetylene.
(ii) What, according to the fitted model, is the predicted conversion
percentage if the temperature is 1200°C and the mole ratio is 10?
(iii) The p-value for the two-sided test of the null hypothesis
Ho: 31 = 0 is 0.000, and the p-value for the two-sided test of the
null hypothesis Ho: 3₂=0 is 0.059. Do the data suggest that both
temperature and mole ratio together influence the conversion
percentage?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5cd9e192-0e90-49ce-a5f5-5dbdfc960c65%2Fab403599-430b-41b9-b4a3-520f366e9300%2Fanmxgaq_processed.png&w=3840&q=75)
Transcribed Image Text:An experiment was performed in chemical engineering in order to
investigate the conditions most appropriate to efficiently convert
n-heptane to acetylene. (These are chemicals used as fuel, amongst
other things.) The experiment consisted of 16 runs. The response
variable, y, was the amount of n-heptane converted to acetylene,
expressed as a percentage. There were two explanatory variables:
T₁: the temperature (°C) at which the experimental run took place;
12: the 'mole ratio of hydrogen to n-heptane.
The multiple regression model fitted to the data from this experiment is
y = -130.7+0.134 z1 +0.351 22.
(You may assume that a graphical analysis of residuals suggests that
this model fits well.)
(i) Interpret what the values of the two regression coefficients tell us
about the conversion of n-heptane to acetylene.
(ii) What, according to the fitted model, is the predicted conversion
percentage if the temperature is 1200°C and the mole ratio is 10?
(iii) The p-value for the two-sided test of the null hypothesis
Ho: 31 = 0 is 0.000, and the p-value for the two-sided test of the
null hypothesis Ho: 3₂=0 is 0.059. Do the data suggest that both
temperature and mole ratio together influence the conversion
percentage?
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