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January 18th, 2017, 11:03 AM   #1
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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
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January 18th, 2017, 03:06 PM   #2
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for more precision I meant coefficient of the independent variable
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January 18th, 2017, 03:07 PM   #3
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some sort of systematic bias in your experiment?

like temperature dependent noise or something like that
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January 18th, 2017, 03:38 PM   #4
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Quote:
Originally Posted by romsek View Post
some sort of systematic bias in your experiment?

like temperature dependent noise or something like that
Nah nothing like that
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January 18th, 2017, 03:49 PM   #5
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Originally Posted by dthiaw View Post
Nah nothing like that
your simple regression

was it $y = m x$ or $y = m x + b$ ?
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January 18th, 2017, 03:55 PM   #6
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Quote:
Originally Posted by romsek View Post
your simple regression

was it $y = m x$ or $y = m x + b$ ?
$y=mx + b$
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January 18th, 2017, 04:18 PM   #7
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Originally Posted by dthiaw View Post
$y=mx + b$
got me then..

I can see why using 2 degrees of freedom would improve the overall fit but I can't see why that would improve your linear regression.
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January 28th, 2017, 08:02 PM   #8
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Quote:
Originally Posted by dthiaw View Post
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


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 08:06 PM.
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