with respect to their regression coefficients vs with respect to the regression coefficients

Both phrases are correct, but they are used in slightly different contexts. 'With respect to their regression coefficients' is more specific and refers to the regression coefficients of a particular group or set of variables. On the other hand, 'with respect to the regression coefficients' is more general and refers to regression coefficients in a broader sense.

Last updated: March 17, 2024 • 598 views

This phrase is correct and commonly used in the context of comparing specific regression coefficients of a particular group or set of variables.

"with respect to their regression coefficients"

This phrase is used when discussing the relationship between variables and their respective regression coefficients within a specific context or group.

Show examples from the web [+]

Feb 17, 2014 ... are the log-likelihoods from alternative and null models 1 and 2, maximized with respect to their regression coefficients, respectively.
differences among clones with respect to their regression coefficients. A plot of slopes vs. intercepts for all clones revealed that the clones could be divided into 3 ...

Alternatives:

in relation to their regression coefficients
regarding their regression coefficients
concerning their regression coefficients
with regard to their regression coefficients
pertaining to their regression coefficients

This phrase is correct and commonly used in a more general sense when discussing regression coefficients without specifying a particular group or set of variables.

"with respect to the regression coefficients"

This phrase is used when discussing the relationship between variables and regression coefficients in a general context without focusing on a specific group or set.

Show examples from the web [+]

The Sum-of-Squares Function. • We proceed by differentiating the sum of squares function with respect to the regression coefficients: • Normal equations for the ...
Once Sr is minimized with respect to the regression coefficients, a0 and a1 (see. Linear Regression for complete derivation), the coefficients can be solved for:.
Feb 28, 2011 ... ... that was used for the simple linear model; the error sum of squares is simultaneously minimized with respect to the regression coefficients.
Sep 18, 2015 ... Third, where possible we follow Doornik and Ooms (2003) in concentrate the likelihood with respect to the regression coefficients and the scale ...

Alternatives:

in relation to the regression coefficients
regarding the regression coefficients
concerning the regression coefficients
with regard to the regression coefficients
pertaining to the regression coefficients

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with respect to their regression coefficients vs with respect to the regression coefficients