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Regression coefficients

Forums: Regression, Coefficients
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Statsadventurer
 
Reply Tue 12 Jul, 2022 02:28 pm
If we run a regression Y=a+bX and find a significant positive result for b. Then suppose we add another variable to the regression Y = a + bX + cZ. Which of the following is correct?

Are either of the following correct?

1. If the coefficient c is not significant, the coefficient b in the new regression will
stay positive.

2. If the coefficient c is estimated to be negative, b will stay positive.
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