Method of the least sum of squares vs Method of least squares

Both phrases are correct, but 'method of least squares' is more commonly used in English. The 'method of least squares' refers to a statistical technique used to find the best-fitting line through a set of points by minimizing the sum of the squares of the vertical distances between the points and the line.

Last updated: April 01, 2024 • 584 views

This phrase is correct but less commonly used in English.

"Method of the least sum of squares"

This phrase refers to a statistical method that minimizes the sum of the squares of the vertical distances between the data points and a line. It is a valid alternative to 'method of least squares.'

Show examples from the web [+]

information about quality criteria for this method (e.g. correlation coefficient, error sum of squares, etc.),
This involves comparing the squared maximum duplicate range with the sum of square ranges.
The DEVSQ() function calculates the sum of squares of deviations.
Calculate sum of squares of each row in a matrix
Controlling for baseline differences by using an analysis of covariance with a Type III sums of squares
Note that if multiple maximum values are found, the denormalization speed (ndenorm) should be taken as the lowest speed of all points with the same maximum sum of squares.
This can be done graphically or by dividing the residual sum of squares into "lack of fit" and "pure error components" and performing a significance test for lack of fit.
VarRed is considered as an index of the waveform fit between observed and synthetic seismograms and is equal to the sum of squares of the difference in amplitude normalized by the observed waveforms (100% is best).
For the multiple filter method, the recommended minimum filter loading for the sum of all filters shall be the product of the appropriate value above and the square root of the total number of modes.
Messier is relatively connected sum of small stars.
A sum of EUR 217859.08 has been provided under commitment appropriation SI2.540389.1.
Atmospheres absolute - The sum of barometric and hydrostatic pressures.
Capulet owes a large sum of money.
Those sums of money are called remittances.
Total 'Sum of years' contains the sum of all data in rows (sum of all payments referred to the accident/underwriting year), including total.
Total sum of assets, or total sum of debts plus capital.
It is proposed that the sum of 50000 in paragraph 6 be replaced by the sum of 40000 in order to avoid changing the current rules.
Examples include the introduction of square mesh legislation.
This place is full of squares.
It's equal to the sum of its divisors.

Alternatives:

method of least squares
least squares method
least sum of squares method
method of minimizing the sum of squares
sum of squares minimization method

This phrase is correct and commonly used in English.

"Method of least squares"

This phrase refers to a statistical method used to find the best-fitting line through a set of points by minimizing the sum of the squares of the vertical distances between the points and the line. It is a widely recognized term in statistics.

Show examples from the web [+]

The calibration curve is calculated by the method of least squares.
The usual method for doing this is the method of least squares.
In this case, the use of complex computer programmes is not required, if the triglyceride combinations used in Table 2 are applied and the factors redetermined by using the method of least squares.
All exhaust emissions results shall be plotted as a function of the running distance on the system rounded to the nearest kilometre and the best fit straight line fitted by the method of least squares shall be drawn through all these data points.
Scale factor is generally evaluated as the slope of the straight line that can be fitted by the method of least squares to input-output data obtained by varying the input cyclically over the input range.
The method of least squares shall be used with the best fit equation having the form:
Scale factor is generally evaluated as the slope of the straight line that can be fitted by the method of least squares to input-output data obtained by varying the input cyclically over the input range.
Scale factor is generally evaluated as the slope of the straight line that can be fitted by the method of least squares to input-output data obtained by varying the input cyclically over the input range.

Alternatives:

method of the least sum of squares
least squares method
least sum of squares method
method of minimizing the sum of squares
sum of squares minimization method

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Method of the least sum of squares vs Method of least squares