Definition of Regression of y on x

1. Noun. The equation representing the relation between selected values of one variable (x) and observed values of the other (y); it permits the prediction of the most probable values of y.

Exact synonyms: Regression Equation
Category relationships: Statistics
Group relationships: Regression Analysis
Generic synonyms: Equation

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Literary usage of Regression of y on x

Below you will find example usage of this term as found in modern and/or classical literature:

1. A First Course in Statistics by D. Caradog Jones (1921)
"... one measured relative to the axis of x and the other relative to the axis of y. for this product = (regression of y on x) (regression of x on y) ..."

2. L1-statistical Procedures and Related Topics by Yadolah Dodge (1997)
"Thus, when (2) holds we follow Li (1991, 1992) and call 5(77) a dimension-reduction subspace for F(Y\X) or for the regression of Y on X. Obviously, ..."

3. A Biometric Study of Basal Metabolism in Man by James Arthur Harris, Francis Gano Benedict (1919)
"In equations like the first of the two above we speak of the regression of y on x, which is equivalent to saying the prediction of y from x. ..."

4. Introduction to Mathematical Statistics by Carl Joseph West (1918)
"The moments of order zero and unity give for the regression of y on x two moment equations: and ..."

5. Fundamentals of Educational Measurement with the Elements of Statistical Method by Chester Arthur Gregory (1922)
"... we may accordingly write the corresponding values for y as follows: THE REGRESSION OF y ON x Assumed Corresponding z-values y-values 80 73.05 85 ... ..."

6. Statistics, Probability, and Game Theory: Papers in Honor of David Blackwell by David Blackwell, Thomas Shelburne Ferguson, Lloyd S. Shapley, James B. MacQueen (1996)
"It can be written as exp(—1/2(y + x/5)2/(1/20))exp(-1/2(x2)/(5/18)) to show the regression of y on x. So under this invariant weight function, the expected ..."

7. Statistical Methods Applied to Education: A Textbook for Students of by Harold Ordway Rugg (1917)
"the corresponding decrease in the unit of y is .68 X 5 = 3.40. TABLE 35. REGRESSION OF x ON y TABLE 36. REGRESSION OF y ON x ..."

8. Statistical Methods Applied to Education: A Textbook for Students of by Harold Ordway Rugg (1917)
"the corresponding decrease in the unit of y is .68 X 5 = 3.40. TABLE 35. REGRESSION OF x ON y TABLE 36. REGRESSION OF y ON x ..."

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