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What is something with a perfect linear relationship?

Anonymous

∙ 13y ago

Updated: 4/28/2022

A linear relationship is given by the equation y=ax+b

Anything which can be modelled by this equation is a linear relationship. For example, the circumference of a circle is pi times d. This can be modelled by y=ax+b where y is the circumference, a is pi, x is the diameter and b is 0. Therefore, the circumference of a circle as the diameter changes is a perfect linear relationship.

Wiki User

∙ 13y ago

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Continue Learning about Algebra

How do you know when a relationship is a linear function?

It is in a strait line.

What happens if the correlation coefficient equals 0?

Nothing happens. It simply means that there is no linear relationship between the two variables. It is possible that there is a non-linear relationship or that there is none.

What is proportional linear relationship in math?

The graph of a linear proportion will be a straight line passing through the origin. The equation will have the form y = mx, also written as y = kx.

How can you draw a graph that represents a linear relationship?

The graph is a straight line.

How does a linear relationship show up in a equation?

y=mx+b

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Related Questions

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.

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 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.

Is the relationship linear or exponential?

is the relationship linear or exponential

What is a nonexample of a linear relationship?

Is this a serious question? The moon is a nonexample. My face is a nonexample.

How can you tell whether a linear function can be used to model a real life relationship?

You can create a scatter plot of the two variables. This may tell you if there is a relationship and, if so, whether or not it is linear. If there seems to be a linear relationship, you can carry out a linear regression. Note that the absence of a linear relationship does not mean that there is no relationship. The coordinates of the points on a circle do not show a linear relationship: the correlation coefficient is zero but there is a perfect and simple relationship between the abscissa and the ordinate. Even if there is evidence of a linear relationship, it may be valid only within the range of observations: do not extrapolate. For example, the increase in temperature of a body is linearly related to the amount of heat energy aded. However, for a solid, there will come a stage when the additional heat will not increase the temperature but will be used to melt (or sublimate) the solid. So the linear relationship will be broken.

What is the meaning of correlation coefficient?

The correlation coefficient takes on values ranging between +1 and -1. The following points are the accepted guidelines for interpreting the correlation coefficient:0 indicates no linear relationship.+1 indicates a perfect positive linear relationship: as one variable increases in its values, the other variable also increases in its values via an exact linear rule.-1 indicates a perfect negative linear relationship: as one variable increases in its values, the other variable decreases in its values via an exact linear rule.Values between 0 and 0.3 (0 and -0.3) indicate a weak positive (negative) linear relationship via a shaky linear rule.Values between 0.3 and 0.7 (0.3 and -0.7) indicate a moderate positive (negative) linear relationship via a fuzzy-firm linear rule.Values between 0.7 and 1.0 (-0.7 and -1.0) indicate a strong positive (negative) linear relationship via a firm linear rule.The value of r squared is typically taken as "the percent of variation in one variable explained by the other variable," or "the percent of variation shared between the two variables."Linearity Assumption. The correlation coefficient requires that the underlying relationship between the two variables under consideration is linear. If the relationship is known to be linear, or the observed pattern between the two variables appears to be linear, then the correlation coefficient provides a reliable measure of the strength of the linear relationship. If the relationship is known to be nonlinear, or the observed pattern appears to be nonlinear, then the correlation coefficient is not useful, or at least questionable.

What is positive linear relationship?

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.

What is a positive linear relationship?

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.

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 does it means The strength and direction of a linear relationship between two variables?

The direction of a linear relationship is positive when the two variables increase together and decrease together. The direction is negative if an increase in one variable is accompanied by a decrease in the other. The strength of the relationship tells you, in the context of a scatter plot of the two variables, how close the observations are to the line representing the linear relationship. There are various very closely related measures: regression coefficient or product moment correlation coefficient (PMCC) are commonly used. These can take any value between -1 and +1. A value of -1 represents a perfect negative relationship, +1 represents a perfect positive relationship. A value of 0 represents no linear relationship (there may be a non-linear one, though). Values near -1 or +1 are said show a strong linear relationship, values near 0 a weak one. There is no universal rule about when a relation goes from being strong to moderate to none.

What is linear position?

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.

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