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  2. An independent variable is defined within the context of a dependent variable. In the context of a model the independent variables are input whereas the dependent variables are the targets (Input vs Output). An exogenous variable is a variable whose state is independent of the state of other variables in a system.

  3. It is supposed that the distribution of Y is f(β(X), θ) for some unknown dual vector β ∈ Rp ∗ (the "regression coefficients") and unknown θ ∈ Θ. We may write this Y ∼ f(β(X), θ). Random regressors. The regressors and response are a p + 1 dimensional vector-valued random variable Z = (X, Y): Ω′ → Rp × R.

  4. Different units for independent and dependent variable in a...

    stats.stackexchange.com/questions/451566/different-units-for-independent-and...

    This does the following. Y = β +(β c)(X ∗ c) + ϵ Y = β + (β 1 c) (X ∗ c) + ϵ. where c is any arbitrary constant. Note, this will not affect your model fit or p-values. Should you scale your education variable accordingly and rerun your model, simply multiply the coefficient by the constant (i.e., 525,600) to arrive back at the slope ...

  5. Inclusion of lagged dependent variable in regression

    stats.stackexchange.com/questions/52458

    22. The decision to include a lagged dependent variable in your model is really a theoretical question. It makes sense to include a lagged DV if you expect that the current level of the DV is heavily determined by its past level. In that case, not including the lagged DV will lead to omitted variable bias and your results might be unreliable.

  6. What does it mean to regress a variable against another

    stats.stackexchange.com/questions/126681

    Probably, Yes. Many times we need to regress a variable (say Y) on another variable (say X). In Regression, it can therefore be written as Y = a + bX Y = a + b X; regress Y on X: regress true breeding value on genomic breeding value, etc. bias=lm(TBV~GBV) Share. Cite.

  7. If you log the independent variable x to base b, you can interpret the regression coefficient (and CI) as the change in the dependent variable y per b-fold increase in x. (Logs to base 2 are therefore often useful as they correspond to the change in y per doubling in x, or logs to base 10 if x varies over many orders of magnitude, which is ...

  8. Synonyms of independent variable and origins of the names

    stats.stackexchange.com/questions/474938/synonyms-of-independent-variable-and...

    3. The independent variable (IV) of a statistical model is a variable that is not dependent on the other variables in the model. While I have been studying statistical modeling, I've kept embarrassed with the use of different names indicating the independent variable (IV) even in the same field. It would be nice to organize the synonymous names ...

  9. We generally do say that about the General Linear Model (i.e., regression), but in that case it means that the residuals are independent of each other, with the same distribution (typically normal) having the same mean (0), and variance (i.e., constant variance: homogeneity of variance / homoscedasticity).

  10. When they are positively skewed (long right tail) taking logs can sometimes help. Sometimes logs are taken of the dependent variable, sometimes of one or more independent variables. Substantively, sometimes the meaning of a change in a variable is more multiplicative than additive. For example, income.

  11. Time spent in an activity as an independent variable

    stats.stackexchange.com/questions/56306

    This is not a limitation, it just tells you that the interaction terms does not add any new information. Say your regression equation looks like this: y^ = β1weeks_breastfeeding +β2non_breastfeeding + ⋯ y ^ = β 1 w e e k s _ b r e a s t f e e d i n g + β 2 n o n _ b r e a s t f e e d i n g + ⋯. Where weeks_breastfeeding w e e k s _ b r ...