The vapour pressure of water increases with temperature as shown by the
formula p = C * e ^ ( - ( ΔvapH^0 ) / ( R * T ) ). The data in the table below shows the vapour
pressure of water (in mmHg) at varying absolute temperatures (in K).
T
p
280
7.5
290
14.5
300
26.7
310
47.1
320
79.6
330
129.8
340
205.0
350
314.1
360
468.7
370
682.0
Questions and problems
a) Perform a non-linear regression on the data using the model
p = βo * e ^ ( - β1 / T ) with initial values of βo = 1 * 10^9 and β1 = 6000.
b) Determine the coefficient of determination, R^2, for this regression.