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Can a best fit line be inverse?

Updated: 9/24/2023
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10y ago

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Yes, but not at the level of mathematics you are at.

In elementary statistics, the line of best fit (if it exists) is always a straight line representing a linear relationship between two variables. The equation of the line is most often calculated using the least squares method. [This minimises the sum of the squares of the vertical differences between the values "predicted" by the line and those actually recorded. The process always leads to a straight line.

However, in more advanced statistics, you will learn about transformations. If the relationship between two variables, X and Y, is an inverse relationship, then the relationship between 1/X and Y is linear and you can fit a linear best fit line to the data set given by 1/X and Y. This can then be used to calculate the best fit inverse curve.

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Q: Can a best fit line be inverse?
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Why does the line of best fit have to start from 0?

The line of best fit does not have to start from 0.


Is the best fit line the same as the line of best fit?

Yes but phrased differently


What is a line of best fit on a line graph?

The line that minimized the sum of the squares of the diffences of each point from the line is the line of best fit.


What is a line that is not a line but is almost a line?

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Because the "best fit" line is usually required to be a straight line, but the data points are not all on one straight line. (If they were, then the best-fit line would be a real no-brainer.)


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What is the difference between a trend line and a line of best fit


Why is a best fit line used?

The line of best fit is the best possible answer you can get from raw data. They also can be used to make predictions.


Does the line of best fit have to start from the origin?

The line of best fit does not have to pass through the 0 (origin) and rarely does


What is the process of finding line of best fit called?

Finding the line of best fit is called linear regression.


A demand line shows an inverse relationship?

demand line shows an inverse relationship


What is a best-fit-line?

A best-fit line is the straight line which most accurately represents a set of data/points. It is defined as the line that is the smallest average distance from the data/points. Refer to the related links for an illustration of a best fit line.


Is the inverse of a line with the slope greater than one is a line with the slope less than one?

A line does not have an inverse!