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January 18th, 2017, 10:03 AM  #1 
Member Joined: Jan 2017 From: California Posts: 80 Thanks: 8  Regression coefficient
Hi everyone, First I ran a simple regression model. Second I ran a multiple regression model by introducing a new independent variable. Both $R^2$ and $Adjusted$ $R^2$ improved which was a good thing. The coefficient for the simple regression also improved. How can we explain why this coefficient improved? Thanks in advance 
January 18th, 2017, 02:06 PM  #2 
Member Joined: Jan 2017 From: California Posts: 80 Thanks: 8 
for more precision I meant coefficient of the independent variable

January 18th, 2017, 02:07 PM  #3 
Senior Member Joined: Sep 2015 From: Southern California, USA Posts: 1,397 Thanks: 709 
some sort of systematic bias in your experiment? like temperature dependent noise or something like that 
January 18th, 2017, 02:38 PM  #4 
Member Joined: Jan 2017 From: California Posts: 80 Thanks: 8  
January 18th, 2017, 02:49 PM  #5 
Senior Member Joined: Sep 2015 From: Southern California, USA Posts: 1,397 Thanks: 709  
January 18th, 2017, 02:55 PM  #6 
Member Joined: Jan 2017 From: California Posts: 80 Thanks: 8  
January 18th, 2017, 03:18 PM  #7 
Senior Member Joined: Sep 2015 From: Southern California, USA Posts: 1,397 Thanks: 709  
January 28th, 2017, 07:02 PM  #8  
Senior Member Joined: Dec 2012 From: Hong Kong Posts: 853 Thanks: 311 Math Focus: Stochastic processes, statistical inference, data mining, computational linguistics  Quote:
Can you show us the data and/or the printouts? Or were you actually looking at Pearson's correlation coefficient the second time, and the coefficient of determination the first?? Or maybe you're looking at the regression coefficient between the new independent variable and the dependent variable? Last edited by 123qwerty; January 28th, 2017 at 07:06 PM.  

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coefficient, regression 
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