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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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13y ago

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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 are the characteristics of a curved relationship and how does it differ from a linear relationship?

A curved relationship is characterized by a non-linear pattern where the relationship between two variables does not follow a straight line. This means that as one variable changes, the other variable does not change at a constant rate. In contrast, a linear relationship is characterized by a straight line where the relationship between two variables changes at a constant rate. The main difference between a curved and linear relationship is the shape of the graph that represents the relationship between the 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 measures the strength of the linear relationship between two quantitative variables?

The strength of the linear relationship between two quantitative variables is measured by the correlation coefficient. The correlation coefficient, denoted by "r," ranges from -1 to 1. A value of 1 indicates a perfect positive linear relationship, -1 indicates a perfect negative linear relationship, and 0 indicates no linear relationship. The closer the absolute value of the correlation coefficient is to 1, the stronger the linear relationship between the variables.


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.