It allows you to maximise or minimise objective functions, subject to constraints that are linear.
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Linear means in order Non-Linear means Organic
Positive Linear Relationships are is there is a relationship in the situation. In some equations they aren't linear, but other relationships are, that's a positive linear Relationship.
Strength and direction of linear relation. Closer to 1 is positive linear association, closer to -1 is positive negative association and closer to 0 means no linear relation. Remember that 0 does not mean that there is no relation - just no linear relation.
A linear relationship is one where your equation forms a straight line. A positive linear relationship is one where this line has a positive gradient.
Linear regression can be used in statistics in order to create a model out a dependable scalar value and an explanatory variable. Linear regression has applications in finance, economics and environmental science.