Devise an efficient synthesis of the diol shown below starting with 1,1,3,3-tetramethyl-2-ethylcyclohexane. 
Definitions:
Estimating A Mean
The process of approximating the central value (mean) of a population or sample data.
Prediction Interval
A prediction range indicating where future data points are likely to land, based on existing observations, with a specified level of confidence.
T-Table Values
Specific points from the Student's t-distribution that are used in hypothesis testing to determine critical values.
Simple Linear Regression
A statistical method that models the relationship between a dependent variable and a single independent variable, showing a linear association.
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