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The explained sum of squares ( ESS ) is the sum of the squares of the deviations of the predicted values from the mean value of a response variable, in a standard regression model — for example,, where y < sub > i </ sub > is the i < sup > th </ sup > observation of the response variable, x < sub > ji </ sub > is the i < sup > th </ sup > observation of the j < sup > th </ sup > explanatory variable, a and b < sub > i </ sub > are coefficients, i indexes the observations from 1 to n, and ε < sub > i </ sub > is the i < sup > th </ sup > value of the error term.
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explained and sum
John R. Freuler, the studio President, explained, " We can afford to pay Mr Chaplin this large sum annually because the public wants Chaplin and will pay for him.
Thus, Charles S. Maier suggests that a political economy approach: " interrogates economic doctrines to disclose their sociological and political premises .... in sum, regards economic ideas and behavior not as frameworks for analysis, but as beliefs and actions that must themselves be explained.
This fan shape can also be explained with a thermodynamic justification: the system of sediment introduced at the apex of the fan will tend to a state which minimizes the sum of the transport energy involved in moving the sediment and the gravitational potential of material in the fan.
Hunt explained that he wanted to sum up the whole poem in a single image, and that the entrapment by the threads suggested her " weird fate ".
This can be partially explained by the increasing number of families ( like the Labia ) becoming patrician by the payment of an enormous sum to the Republic, which was then facing financial difficulties.
Theorists saw unique aspects of the social world that could not be explained simply by the sum of the individuals present.
Ehrenfels explained that a melody consists of individual sounds, but that it is considerably more than the sum of these notes.
He explained that he had to deliver a large sum of money, which he showed them as proof, and he offered them a reward if they would accompany him to show him the way.
In reply, Pearson argued that he spent " half the year " at his Scottish estate, pointed out that the sum covered several years in expenses, and explained that working as a public servant had cost him ' millions ' as a result of having to give up salaried work.
: the regression sum of squares, also called the explained sum of squares.
The inability of contemporary critics to sum up Pisemsky in a more or less congruous manner, according to Anninsky, might be explained by the latter's peculiarity, for, " simple and unpretentious as author was, he defied categorization ".
In general, total sum of squares = explained sum of squares + residual sum of squares.
In statistics, the explained sum of squares ( ESS ), alternatively known as the Model Sum of Squares or Sum of Squares due to Regression, is a quantity used in describing how well a model, often a regression model, represents the data being modelled.
In particular, the explained sum of squares measures how much variation there is in the modelled values and this is compared to the total sum of squares, which measures how much variation there is in the observed data, and to the residual sum of squares, which measures the variation in the modelling errors.
In general: total sum of squares = explained sum of squares + residual sum of squares.
The following equality, stating that the total sum of squares equals the residual sum of squares plus the explained sum of squares, is generally true in simple linear regression:
explained and squares
Never have I had so much satisfaction as at this moment, when I have just explained rigorously, by the simple law of rectilinear motion, those of universal gravitation, which decreases in the same proportion as the squares of the distance increase.
The explained sum of squares, defined as the sum of squared deviations of the predicted values from the observed mean of y, is
Total sum of squares = explained sum of squares + residual sum of squares.
explained and is
If our sincerity is granted, and it is granted, the discrepancy can only be explained by the fact that we have come to believe hearsay and legend about ourselves in preference to an understanding gained by earnest self-examination.
The scene is etched in sharp detail, the military problems brilliantly explained, and the excitement and importance of the battle made evident.
This negative pressure is not explained by the velocity head Af since this is not sufficient to explain the readings by several magnitudes.
The positive Kohnstamm reactivity in Condition 1 ( ( the naive state ) is not adequately explained by such a concept as suggestibility ( if suggestibility is defined as the influence on behavior by verbal cues ).
If the argument is accepted as essentially sound up to this point, it remains for us to consider whether the patient's difficulties in orienting himself spatially and in locating objects in space with the sense of touch can be explained by his defective visual condition.
`` The trouble, '' explained Loy Henderson, then Deputy Undersecretary for Administration, `` is that when we get into an argument with him about this thing, it always turns out that Rooney knows more about our budget than we do ''.
Private business is more effective than government aid, he explained, because individuals are able to work with the people themselves.
`` Usually at this point a man is withdrawn from society and one of my jobs is to see that he relearns to mingle with his fellow men '', Mrs. Marr explained.
The statement explained that under the Georgia Constitution and state law, tax-exempt status is granted to educational institutions only if they are segregated.
The importance of this 5 can largely be explained by the natural mathematical properties of the middle number and its special relationship to all the rest of the numbers -- quite apart from any numerological considerations, which is to say, any symbolic meaning arbitrarily assigned to it.
Gershwin explained in Musical America, " My purpose here is to portray the impressions of an American visitor in Paris as he strolls about the city, listens to the various street noises, and absorbs the French atmosphere.
Eta-squared is a biased estimator of the variance explained by the model in the population ( it estimates only the effect size in the sample ).
In The Plague, a key description of Oran occurs early, when it is explained that the town is built in such a way that it " turns its back on the bay, with the result that it's impossible to see the sea, you always have to go to look for it.
It is explained that those souls that have turned toward God will experience gladness, while those who have lived in error will become aware of the opportunities they have lost.
* Translucent: Meaning makes sense to non-signers once it is explained
This equivalency is well explained by resonance forms.
James Basker also acknowledged this force when he explained why he chose " Amazing Grace " to represent a collection of anti-slavery poetry: " there is a transformative power that is applicable ...: the transformation of sin and sorrow into grace, of suffering into beauty, of alienation into empathy and connection, of the unspeakable into imaginative literature.
The link between the Mosaic Law and Alfred's code is the " Apostolic Letter ," which explained that Christ " had come not to shatter or annul the commandments but to fulfill them ; and he taught mercy and meekness " ( Intro, 49. 1 ).
In some texts, he is referred to as something older than the giants, and his origins are not really explained.
explained and deviations
In 1742, Benjamin Robins, a British artillery engineer, explained deviations in the trajectories of musket balls in terms of the Magnus effect.
Using weekly data, they estimated transaction costs and evaluated their role in explaining deviations from interest rate parity and found that most deviations could be explained by transaction costs.
As explained above, the deviations are due to the effects of orbital relaxation as well as differences in electron correlation energy between the molecular and the various ionized states.
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