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### Does every set of data points have a unique least squares straight line fit?

No. Consider four points at the corners of a perfect square.

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No. Consider four points at the corners of a perfect square.

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If you plot data points on a graph the rarely will form a straight line. Least squares is a method of finding a line 'close' to all the data points instead of just guessing and drawing a line that looks… Full Answer

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it is called best fit because it minimizes the sum of square of the distances of points from line. That is to say, if you add up the squares of the distance of the different data points from the line… Full Answer

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No, it is not resistant. It can be pulled toward influential points.

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A line of best fit is a technique used in statistics. It is a line that represents the relationship between data points showing two variables. It is "best" according to some user-specified criteria. The least squares regression line is the… Full Answer

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interpolation, because we are predicting from data in the range used to create the least-squares line.

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There are many methods, though the most popular is the method of least squares. This method minimises the sum of the squares of the vertical distances between each point and the corresponding point on the line.

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You can have a line of best fit. It is the line that cuts through the points with the least amount of distance to all the data.

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Statistics

Whenever you are given a series of data points, you make a linear regression by estimating a line that comes as close to running through the points as possible. To maximize the accuracy of this line, it is constructed as… Full Answer

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The graph and accompanying table shown here display 12 observations of a pair of variables (x, y). The variables x and y are positively correlated, with a correlation coefficient of r = 0.97. What is the slope, b, of the… Full Answer

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extrapolate

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Statistics

It is often called the "Least Squares" line.

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least mean squares line

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In
Statistics

That is not true. It is possible for a data set to have a coefficient of determination to be 0.5 and none of the points to lies on the regression line.

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When all the data points are the same.

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a line has to have at least 2 points. a plane has to have at least 3 points. ______________ It takes two points to define a unique line in Euclidean space. But every line and every line segment contains infinitely… Full Answer

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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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Phillip R. Wilcox has written: 'A least squares method for the reduction of free-oscillation data' -- subject(s): Least squares, Oscillations

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A straight line which best describes the data on a scatter plot is called a "line of best fit". The line could pass through some of the points, all of them, or none of them.

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Statistics

A scatter plot would be best for non-related data points. A line graph would be best for related data points.

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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… Full Answer

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A line contains at least 2 points.

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In
Graphs

linear graph

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extrapolating

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In
Graphs

a line of best fit

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If the question is about a scatter plot, the the data points will be not be located on a straight line but will be displaced by a random element. Connecting the points will give a zigzag line which will fit… Full Answer

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{| |- | A line is defined by naming at least two points. It contains an infinite number of points, but two have to be identified. A line can also be defined by a single point and a direction. |}

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Graphs

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There can be a few reasons. One reason is that the line is wrong, either it has been placed wrong or it is the wrong type of line (linear when it should be exponential) there may even be no line… Full Answer

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Physics

That will depend on how you have defined "best fit". -- If it means "maximizes the number of points that are right on", then you'll want to jockey the line around so that as many data points as possible fall… Full Answer

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R. J. Clasen has written: 'The fitting of data by least squares to non-linearly parameterized functions' -- subject(s): Curve fitting, Least squares

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Data points that are not close to the line of best fit are called outliers.

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Actually, two separate points are enough to determine the line.

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Triangles, Circles, Squares, and a heart.

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Graphs

The definition is any chart where one or more points lie off the straight line joining the other points.

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The method used to calculated the best straight line through a set of data is called linear regression. It is also called the least squares method. I've included two links. I know the wikipedia link is a bit complicated. The… Full Answer

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Suppose you have two variables X and Y, and a set of paired values for them. You can draw a line in the xy-plane: say y = ax + b. For each point, the residual is defined as the observed… Full Answer

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In
Graphs

line graph rock

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In
Graphs

A Linear graph

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In
Science

line of best fit.

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line of fit

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line graph

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If most of them lie below the line, then that line isn't the best fit. The exact layout depends on what definition you use for "best fit", but any definition will produce a line that has roughly the same number… Full Answer

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YES. The intersection of two planes always makes a line. A line is at least two points.

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Usually when there's 2 dots(data points), you can place a line. When there's more data points, there's way to calculate "best line" that reduces error to the minimum. So kind line best choice of approximate line that defines these dots.