Regression - 18 A Rare Problem - From old lines of regression finding the new
#Statistics
#Regression
#Linear Regression
#Coefficients of Regression and Correlation
Special type of problem
Case
The two lines of regression for the two variables x and y are x – y + 5 = 0 and 100x – 64y – 40 = 0. Vi = (Xi – 4)/2 and Wi = (Yi + 5)/4. Obtain lines of regression for the two variables Vi and Wi.
In solving this type of problems few steps are important:
(1) First of all we have to find the two means, coefficients of regression, coefficient of correlation and SDs of 'x' and 'y' (i.e. the old variables from the two lines of regression of 'x' and 'y' and the known SD or variance.
(2) We have to find the means of the new variables from the means of the old variables taking the effect of change of origin and scale into consideration. Mean is not independent of change or origin and scale. So, we have to take the effects of these changes while calculating means of the new variable.
(2) We have to find the standard deviations of the new variables from the SDs of the old variables by taking the change of scale into consideration. Standard Deviation is independent of change of origin but not scale. So, we have to give the effect of change of scale while calculating the SD of the new variable.
(3) Since the coefficient of correlation is independent of change of origin and scale, r(xy) = r(vw) of any new variables which are the results of the change of origin and scale in x and y.
(4) From the coefficient of correlation and the SDs of the new variables, we can now calculate the coefficients of regression of the new variable by using the formulae by definition.
(5) With the help of the means and the coefficients of regression of the new variables, now, we can obtain the lines of regression for the new variables and we can also find their estimated values corresponding to the known values.
Regression, Linear Regression, Coefficients of Regression, Lines of Regression, Statistics, MBA, MCA, BE, CA, CS, CWA, CMA, CPA, CFA, BBA, BCom, MCom, BTech, MTech, CAIIB, FIII, Graduation, Post Graduation, BSc, MSc, BA, MA, Diploma, Production, Finance,Management, Commerce, Engineering , Grade-11, Grade- 12
www.prashantpuaar.com
Watch video Regression - 18 A Rare Problem - From old lines of regression finding the new online without registration, duration hours minute second in high quality. This video was added by user PUAAR Academy 25 March 2017, don't forget to share it with your friends and acquaintances, it has been viewed on our site 635 once and liked it 9 people.