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IPS178 Sana Antoine S. J.
                  regression allows us to check that, when considering the core CPI measure,
                  the impact of external variables is reduced.
                  Estimating each variable’s importance
                      When  explanatory  variables  are  uncorrelated,  the  contribution  of  each
                  variable in explaining the variations of CPI (improving R2) is unambiguous.
                  However, when these variables become correlated, it is no longer clear how
                  each one is impacting CPI. We decided to adopt the LMG (Lindeman, Merenda,
                  and Gold) measure for assessing the relative importance of each variable in
                  the  linear  regression  model.  The  way  this  measure  works  is  pretty  simple:
                  adding  a  variable  (WAIR,  for  example)  to  the  regression  improves  the
                  goodness-of-fit R2 metric by a given amount (R2 jumps from 0.49 to 0.55,
                  improvement  =  0.06).  When  the  explanatory  variables  are  correlated,  the
                  amount of such an improvement (0.06) depends on which variables are already
                  included in the model before we added the new variable (WAIR). The LMG
                  measure  averages  these  improvements  over  all  possible  orderings  of
                  regressors. In general, the LMG measures do not add up to 1 since variations
                  in CPI are not perfectly explained by our variables.

                  3.  Results
                      The results of the sectorial approach are presented in figure 4 and it can
                  be pointed out that:
                        The portion of Lebanese inflation that comes from non-tradable items
                         such as health, housing and education represents only 26.6%.  These
                         items  are  purely  domestic  and  are  not  directly  impacted  by  global
                         trade.  The  majority of  other  items  are  tradable especially  food  and
                         energy items.
                        Food and non-alcoholic beverages constitute a major component of
                         Lebanon’s consumer price index, with the highest weight of 20%. The
                         food  price  index  in  Lebanon  has  been  increasing  faster  than  the
                         consumer price index indicating rising food prices. In fact, food prices
                         have increased by an  average annual rate of 5% during the period
                         2010-2013 against 2% during the period 2012-2018. This comes in line
                         with  trends  in  international  food  prices  which  also  increased  by  an
                         average  annual  rate  of  6%  during  the  same  period.  Since  Lebanon
                         imports most of its food demand, it is consequently highly exposed to
                         international food price fluctuations.
                        The  items  that  contribute  the  most  to  inflation  are  Energy  (36.1%),
                         Food and non-alcoholic beverages and Housing (15.9% each). Such a
                         result  confirms  our  main  intuition  that  Food  and  Energy  prices
                         fluctuations have significant repercussions on headline inflation. Even
                         though the share of the energy item in the CPI basket is only equal to
                         11.8%, it explains 36.1% of the volatility of headline CPI. If we add to

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