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(Solved): ( 25 pts ) A reactor is tested with a set of different initial concentrations, and the temperature a ...
( 25 pts ) A reactor is tested with a set of different initial concentrations, and the temperature at the end of one hour reaction is recorded: \table[[Initial conc.
((g)/(m)ol),.47,.70,.60,.78,.81,.84],[Temperature
(\deg C),11.8,13.9,14.3,14.7,16.0,16.5]] i. (2 pts) Why should the temperature be taken as the dependent variable, and the initial concentration as the independent variable in a regression analysis? ii. (17 pts) Fit a linear model
Y=\beta _(0)+\beta _(t)x+\epsi to the given data. Estimate
\beta _(0),\beta _(1)and variance of random error terms (with their correct units!). Plot the data and the regression line (approximately). Find the
R^(2)value. How do you evaluate the resulting model? iii. ( 6 pts ) Do you think that the relation between concentration and temperature is significant at
\alpha =0.05?
