Hello,

is it okay to divide each individual's value of a variable by the mean of the sample and then use this transformed variable for a regression in a sample?

For example:

Code:
sysuse auto, clear

. reg price trunk weight displacement gear_ratio

      Source |       SS           df       MS      Number of obs   =        74
-------------+----------------------------------   F(4, 69)        =      8.54
       Model |   210211246         4  52552811.6   Prob > F        =    0.0000
    Residual |   424854150        69  6157306.52   R-squared       =    0.3310
-------------+----------------------------------   Adj R-squared   =    0.2922
       Total |   635065396        73  8699525.97   Root MSE        =    2481.4

------------------------------------------------------------------------------
       price |      Coef.   Std. Err.      t    P>|t|     [95% Conf. Interval]
-------------+----------------------------------------------------------------
       trunk |  -63.64507   91.74253    -0.69   0.490    -246.6664    119.3763
      weight |   2.160798   .8998892     2.40   0.019     .3655685    3.956028
displacement |   10.36613   8.266774     1.25   0.214    -6.125634    26.85789
  gear_ratio |   2192.778   1140.727     1.92   0.059    -82.91105    4468.466
       _cons |  -8139.774   4688.715    -1.74   0.087     -17493.5    1213.956


egen meanprice = mean(price)
gen dividedprice = price/meanprice


. reg dividedprice trunk weight displacement gear_ratio

      Source |       SS           df       MS      Number of obs   =        74
-------------+----------------------------------   F(4, 69)        =      8.54
       Model |  5.53036265         4  1.38259066   Prob > F        =    0.0000
    Residual |   11.177316        69  .161990087   R-squared       =    0.3310
-------------+----------------------------------   Adj R-squared   =    0.2922
       Total |  16.7076786        73   .22887231   Root MSE        =    .40248

------------------------------------------------------------------------------
dividedprice |      Coef.   Std. Err.      t    P>|t|     [95% Conf. Interval]
-------------+----------------------------------------------------------------
       trunk |  -.0103232   .0148806    -0.69   0.490    -.0400091    .0193627
      weight |   .0003505    .000146     2.40   0.019     .0000593    .0006417
displacement |   .0016814   .0013409     1.25   0.214    -.0009936    .0043563
  gear_ratio |   .3556669   .1850251     1.92   0.059    -.0134481    .7247819
       _cons |  -1.320265    .760506    -1.74   0.087    -2.837433    .1969028
------------------------------------------------------------------------------
Would this cause any trouble?
The motivation would be to see what factors effect the price to lie above the sample average.
Thank you!