Linear means in order
Non-Linear means Organic
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r square is a measure of the linear relationship between the variables. The nearer r squared is to one, the stronger the linear relationship. However, a linear relatinship is NOT a causal relationship. Also the absence of a large r square is not evidence of no relationship: there may well be a non-linear relationship. It is commonly accepted that for scientific purposes, a very minimum of 0.98 is accepted for r2. This is because 0.98 actually allows for quite a variance (by eye)
It is a measure of the strength of a linear relationship between one dependent variable and one or more explanatory variables.It is very important to recognise that a high level of correlation does not imply causation. Also, it does not provide information on non-linear relationships.
A non-linear graph. It could be a polynomial (of a degree greater than 1), a power function, a logarithmic or trigonometric graph. In fact any mathematical function other than a linear equation.
There are 3 types1.positive/ negative/zero/2.linear/non-linear3.simple/multiple/partial- If the direction is same,the relationship is positive-If the direction is opposite , the relationship is negative-If the amount of change is constant in different variable it is linear-If the amount of change is not constant in different variable is non- linear-If it is establishing a relationship between two characteristic then it is simple- If it is establishing a relationship between three or more characteristic then it is multiple-If it is establishing a relationship between only one of all the variable then it is partial
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.