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Instrumentation & Control In Distilation Coloumn

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INTRODUCTION :    Distillation is the most common class of separation processes  and one of the better understood unit operations. It is an energy-separating-agent  equilibrium process that uses the difference in relative volatility, or differences in  boiling points, of the components to be separated. It is the most widely used  method of separation in the process industries. The distillation process will  most often be the choice of separation unless the following conditions exist:  • Thermal damage can occur to the product. • A separation factor is too close to unity. • Extreme conditions of temperature or pressure are needed.  • Economic value of products is low relative to energy costs. Control involves  the manipulation of the material and energy balances in the distillation equipment  to affect product composition and purity.  Difficulties arise because of the multitude of potential variable interactions and ...

POLYNOMIAL REGRESSION

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What is Polynomial Regression?  In statistics, polynomial regression is a form of regression analysis in which the relationship between the independent variable x and the dependent variable y is modelled as an nth degree polynomial in x. The polynomial regression fits into a non-linear relationship between the value of X and the value of Y. The Polynomial regression is also called as multiple linear regression models. The Polynomial regression model has been an important source for the development of regression analysis . For designing a polynomial regression model, we are taking real data of India’s Coronavirus cases per day. We shall use polynomial regression on this dataset. For that we have a generalised matrix representation of polynomial regression for any degree polynomial. This is the matrix representation of polynomial regression for any degree polynomial. For our dataset, we are taking 2nd degree polynomial regression or Quadratic regression. Using th...