Already have an account? Get multiple benefits of using own account!
Login in your account..!
Remember me
Don't have an account? Create your account in less than a minutes,
Forgot password? how can I recover my password now!
Enter right registered email to receive password!
What is F2 Test, X, Y Arithmetic Means The above method of finding out regression equation is tedious. The calculations can very much be simplified if instead of dealing with the actual values of X and Y we take the deviations of X and Y series form their respective means. In such a case the two regression equations are written as follows: Regression equation of x on Y ; X - X = r σx / σy (Y - Y) X is the mean of X series. Y is then mean of y seriesR σx/ σy is known as the regression coefficient of X on Y.The regression coefficient of X on Y is denoted by the symbol b xy or b1. It measures the change in X corresponding to a unit change in Y. when deviations are taken from the means of X and Y, the regression coefficient of X on Y is obtained as follows:b xy or r σ/ σy = Σ x y / Σ y2Instead of finding out the value of correlation coefficient σx, σ y etc, we can find the value of regression coefficient by calculating Σ x y and Σ y2 and dividing the former by the latter. Regression equation of y on X; Y - Y =r σy/ σx (X - X)R σy/ σx is the regression coefficient of Y on X it is denoted by b xy or b2. It measures the change in Y corresponding to a unit change in X. when deviators are taken from actual means the regression coefficient of Y on X can be obtained as follows.R σy/ σx = Σ xy / Σ x2It should be noted that ht ender- root of the product of two regression coefficients given us the value of correlation coefficient. Symbolically,R = √bxy X b xyProof, B xy = r σx / σy and b xy = r σy/σxB xy x b xy = r σx/σy x r σy/ σx = r2 , ∴ r = √bxy X b yxThe following points should be noted about the regression coefficients Both the regression coefficients will have the same sign. Either they will be positive or negative. It is never possible that one of the regression coefficients is negative and the other positive. Since the value of the coefficients of correlation cannot exceed one, one of the regression coefficients must be less than one or, in other words both the regression coefficients cannot be greater than one. For example, if b xy = 1.2 and b xy = 1.4 the value of correlating to coefficient would be √(1.2 x 1.4) = 1.296 which is not possible. The coefficients of correlation will have the same sign as that of regression coefficients if regress coefficients have a negative sign r will also be negative and if regression coefficients have a positive sign, r would also be positive. For example if b xy = - 0.8 and b xy = - 1.2 r would be √(- 0.8 x-1.2) = - 0.98and not + 0.98. Since b xy = r σx / σy we can find out any of the four values given the other three. For example if we know that r = 0.6 σx = 4 and b xy = 0.8, we can find σy.B xy = r σx/ σySubstituting the given values: 0.8 = 0.6 x 4 / σy or σy= 2.4 / 0.8 = 3.Regression coefficients are independent of change of origin but two of scale.
Expertsmind.com offers unique solutions for statistics assignments, homework
"A company of accountants has branches in five regions, Port Louis (PL), Curepipe (CPE), Beau Bassin (BB), Rose Hill (RH) and Quatre Bornes (QB). It employs the following number
median
Mention the characteristics of Statistics. Explain any two applications of Statistics.
Authorized travel period Then period when the visitor is in authorized travel position away from the established stop and established property. Talk about OFFICIAL STATION, OFFIC
how we can solve semi average method
Linear regression is a regression methods that models the relationship between a dependent variable independent variables ? X1 i = 1 .........p and a random term . the mod
A teacher is interested in comparing the effects of 3 different parts of rehearsal methods (Rote rehearsal, Imagery, and Story) on number of words recalled. Participants are random
Question: (i) A soft drink machine is regulated so that it fills an average of 300 cL per cup. If the amount of drink in each cup is normally distributed with standard deviati
1-100,101-200
ways or techniques for labour control policy
Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!
whatsapp: +91-977-207-8620
Phone: +91-977-207-8620
Email: [email protected]
All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd