3001 90 An experiment was performed in chemical engineering in order to agua y 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; T2: the 'mole ratio' of hydrogen to n-heptane. LOY bogad The multiple regression model fitted to the data from this experiment is mw y = -130.7+0.134x1 +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 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: P1=0 is 0.000, and the p-value for the two-sided test of the null hypothesis Ho: 2 = 0 is 0.059. Do the data suggest that both temperature and mole ratio together influence the conversion percentage?
3001 90 An experiment was performed in chemical engineering in order to agua y 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; T2: the 'mole ratio' of hydrogen to n-heptane. LOY bogad The multiple regression model fitted to the data from this experiment is mw y = -130.7+0.134x1 +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 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: P1=0 is 0.000, and the p-value for the two-sided test of the null hypothesis Ho: 2 = 0 is 0.059. Do the data suggest that both temperature and mole ratio together influence the conversion percentage?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Transcribed Image Text:An experiment was performed in chemical engineering in order to agua se
investigate the conditions most appropriate to efficiently converter
n-heptane to acetylene. (These are chemicals used as fuel, amongst legg
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
340
ord
y = -130.7+0.134x1
+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.
dois
ted
S
(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: B₁ = 0 is 0.000, and the p-value for the two-sided test of the
null hypothesis Ho: B2 = 0 is 0.059. Do the data suggest that both
temperature and mole ratio together influence the conversion
percentage?
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