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  • How to interpret a simple regression coefficient?

    I have the following regression equation:

    log(yt/y0) = B0+B1Trade_share + et

    where t = 1 ... 5
    Y is productivity
    Trade_share (>0) is exports plus imports as a share of output.

    B1=0.07

    Should I interpret as a log-level model?

  • #2
    Jahangir:
    you seemingly have a log-linear regression model.
    Hence: one-unit increase in -trade- increases the dependent variable by:
    Code:
    (exp(0.07)-1)*100%)=7.25%
    Kind regards,
    Carlo
    (Stata 18.0 SE)

    Comment


    • #3
      @Carlo Lazzaro, since the variable Trade measures as a share, can I use one-unit change?

      I am thinking like this:

      How much dependent variable changes with ten percent increase in trade share? What do you think?

      Thanks Carlo,

      Jahangir

      Comment


      • #4
        Jahangir:
        thanks for clarifications.
        The interpretation that you ask for goes like this:
        when adjusted for the other predictors, a 10% point increase in -Trade- increases the dependent variable by roughly 72.50%.
        Kind regards,
        Carlo
        (Stata 18.0 SE)

        Comment


        • #5
          Originally posted by Jahangir Alam View Post
          I have the following regression equation:

          log(yt/y0) = B0+B1Trade_share + et

          where t = 1 ... 5
          Y is productivity
          Trade_share (>0) is exports plus imports as a share of output.

          B1=0.07

          Should I interpret as a log-level model?
          It seems to me that the dependent variable is nothing but the growth rate over the 0 to t period. So, please treat/interpret this variable as growth in a linear regression (not a log-linear model).
          In addition, the interpretation depends on how the trade share data measured. Say, trade_share = 56 (the unit is in %) or trade_share = 0.56?
          Ho-Chuan (River) Huang
          Stata 17.0, MP(4)

          Comment


          • #6
            My trade share is 0.56!

            Comment

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