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Find the Relation between two substance:
The following table shows the results obtained in experiments aimed to determine how solubility of water in benzene depends on temperature. A Linear relationship between temperature and Logarithm of solubility expressed as percent of water (by weight) in the solution (if the value of S, Solubility was multiplied by 100 before taking the Logarithm) is adequate.
Run
Temperature (in degrees centigrade)
Log (100s)
1.
8.8
0.601
2.
14.4
0.699
3.
15.0
0.705
4.
15.5
0.696
5.
20.0
0.748
6.
0.758
7.
25.0
0.816
8.
0.821
9.
30.0
0.876
10.
0.861
11.
35.0
0.931
12.
0.947
13.
0.949
I) Set up the regression equation in the form Y=a+bX where Y = Log(100s) and X = temperature
II) Estimate the true value of Y for a temperature of 32 °C .
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1. Definition of decision tree, 2. Feature of decision theory problem
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