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By definition, if you graph the relationship between two variables and the result is a straight line (of whatever slope) that is a linear relationship. If it is a curve, rather than a straight line, then it is not linear.

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Q: How do you tell whether the relationship between two variables is linear?
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Why was there a need to invent linear equation in two variables?

If two variables are related, then the simplest relationship between them is a linear one. The linear equation expresses such a relationship.If two variables are related, then the simplest relationship between them is a linear one. The linear equation expresses such a relationship.If two variables are related, then the simplest relationship between them is a linear one. The linear equation expresses such a relationship.If two variables are related, then the simplest relationship between them is a linear one. The linear equation expresses such a relationship.


What is Full Regression?

Regression :The average Linear or Non linear relationship between Variables.


What is uncorrelated variables means?

Correlation is a way of testing whether there is a linear relationship between two variables of their transformed versions. If there is no correlation then all that it means is that there is no linear relationship between the two or between their transformed versions. It certainly does not mean that there is no relationship. For example, if y = a*x^2 + b where a and b are constants then, because of symmetry, the correlation between x and y is 0.


How does finding slope compare to finding the rate of change between two variables in a linear relationship?

The slope of a line is the same thing as the rate of change between two variables in a linear relationship.


Can a graph help you interpret data?

Yes. It can give insight as to whether there is a relationship between two variables, and if so, whether the relationship is direct or indirect; whether it is linear, polynomial, exponential, logarithmic; whether or not there are asysmptotic values; whether or not there is clustering; etc.


What are the importance of linear equation?

They are the simplest form of relationship between two variables. Non-linear equations are often converted - by transforming variables - to linear equations.


What is the meaning of Correlations?

It means that here is no linear relationship between the two variables. There may be a perfect non-linear relationship, though.


What is the meaning of no correlation?

It means that here is no linear relationship between the two variables. There may be a perfect non-linear relationship, though.


A constant between 2 variables is what type of relationship?

It is a linear relationship, such as y=mx+b.


Why would a linear trend equation based forecast be dangerous?

The relationship between the variables may not be linear.


If doubling the manipulating variable results in a doubling of the responding variable the relationship between the variables is a?

This would indicate that there is a linear relationship between manipulating and responding variables.


What is the Advantages of scatter diagram?

It allows a quick look at the data to establish whether or not there is any relationship between the variables and also an indication of the nature of the relationship: linear, quadratic, power etc.