The vapor pressure of water at various temperatures follows:
Observation
Number, i
Temperature (K)
Vapor pressure
(mm Hg)
1
273
4.6
2
283
9.2
3
293
17.5
4
303
31.8
5
313
55.3
6
323
92.5
7
333
149.4
8
343
233.7
9
353
355.1
10
363
525.8
11
373
760.0
(a) Draw a scatter diagram of these data. What type of relationship seems appropriate in relatingytox?
(b) Fit a simple linear regression model to these data.
(c) Test for significance of regression using α = 0.05. What conclusions can you draw?
(d) Plot the residuals from the simple linear regression model versus. What do you conclude about model adequacy?
(e) The Clausis-Clapeyron equation states that ln where Pvis the vapor pressure of water. Repeat parts (a)–(d). using an appropriate transformation.
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