The following table gives the vapor pressure of water for various temperatures, previously reported in Exercise 5.2.

Exercise 5.2

The following table gives the vapor pressure of water for various temperatures

a. Plot a scatter diagram. Does it seem likely that a straight-line model will be adequate?
b. Fit the straight-line model. Compute the summary statistics and the residual plots. What are your conclusions regarding model adequacy?
c. From physical chemistry the Clausius-Clapeyron equation states that
\[
\ln \left(p_{v}\right) \propto-\frac{1}{T}
\]

Repeat part b using the appropriate transformation based on this information.

b. Fit the straight-line model. Compute the summary statistics and the residual plots. What are your conclusions regarding model adequacy?
d. Fit the appropriate non-linear model.
e. Discuss the differences in these models. Discuss which model you prefer.

Transcribed Image Text:

Temperature (K) 273 Vapor Pressure (mm Hg) 4.6 283 9.2 293 17.5 303 31.8 313 55.3 323 92.5 333 149.4 343 233.7 353 355.1 363 525.8 373 760.0