A study in an oil field has been conducted to enable analytical estimation of the porosity of a reservoir from measured permeability values. A sample of true measurements of both parameters at the same locations is recorded in the table below. A linear regression model for the two parameters using least square estimates method has been developed. Using the linear regression model, determine the residual in estimating the porosity when the permeability is equal to 70 uD. Porosity (%) Permeability (uD) 4 50 3 35 76 6. 70 3 43 10 89 81 5 66 7 79 11 92 co
Correlation
Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.
Linear Correlation
A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.
Regression Analysis
Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.
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