In our series of blogs on Multiple Regression, we have already shared details on following and now focus is to show Beta Coefficient Estimation using Matrix Calculations in R. Multiple Regression Application Scenarios Multiple Regression Tutorial Multicollinearity Assumption Normality Assumption Step by Steps Explanation of Beta Coefficient Estimation in Multiple Regression Reading Data
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# Sample Dataset  Estimating Current Salary using First Salary and Years of Exp data.sal < read.table(text="X0,X1,X2,Y 1,33059.00,149,63581 1,25135.00,39,45506 1,17619.00,383,26547 1,20073.00,193,27429 1,26440.00,139,50502 1,18509.00,70,38017 1,25159.00,115,42930 1,15600.00,1,28073 1,18580.00,117,34363 1,20219.00,245,30337 1,21656.00,145,35484 1,17478.00,29,34997 1,20357.00,39,33723 1,22390.00,139,41296 1,20195.00,71,32399 1,21463.00,27,46741 1,20010.00,52,52272 1,33292.00,72,109879 1,20667.00,105,48720 1,18227.00,51,32377 1,21693.00,22,44212 1,17802.00,318,28157 1,16566.00,79,29442 1,15677.00,125,22746 1,15317.00,176,28088 1,17766.00,15,36794" ,header=T, sep=",") 