Statistics and Probability
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anfyv123
Mathematics
adadasd
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Handwritten Solution in 60 min
Handwritten Solution in 60 min
Handwritten Solution in 60 min
Handwritten Solution in 60 min
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The data in the table below shows the vapor pressure of ethyl ether at various temperature levels.
Observation Temperature Vapor pressure
number (K)
(mmHg)
273
184.6
283
289.5
1293
438.3
303
642.8
313
916.6
16
323
(1274.8
7
333
1733.2
18
343
2309.3
353
3020.7
110
363
3886.1
11
373
4924.2
19
a)
Draw a scatter diagram of these data (use T as x-axis and Py as y-axis). Then fit a simple linear regression model to these data using the least square estimates of the coefficients (Bo and B1) of a regression line. Estimate the
mean vapor pressure at a temperature level of 350 K. Construct a 99% confidence interval for the true mean value at 350 K.
b) Calculate R2 for the regressing model. What conclusion can you draw? You may want to plot the residuals to support your claim.
The Clausius-Clapeyron relationship states that In (Py) & 1/T (1.e. the natural logarithm of vapor pressure is proportional to inverse temperature) where Py, is the vapor pressure.
c) Repeat the parts (a) and (b) using appropriate transformation of the variables. Comment on the differences.
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