Regresión Lineal
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Transcript of Regresión Lineal
=REGRESIÓN LINEAL=
Planeacion y Evaluación de Proyectos
Nombre: Jazael Pintor Garcia.
Profesor: Ignacio Almáraz Rodriguez
Introducción:
The work consists of an analysis of four indicators; GDP, inflation, parity and
interest rates through linear regression and whose data will be compared with the
data provided by the federal government presented the 2016 economic package.
The four indicators mentioned above will be based on the construction of our
equations showing their dependence among other variables; whose equation we
also provide forecast data for each indicator in different scenarios, also we contrast
the economic indicators provided by the government for 2016 and forecasts to be
obtained from our equations, which showed us how accurate our forecast is thus
the government hopes for the coming year and how come is reality as such
EL PIB
Inflation(x1) Parity(x2) Int.Rate(x3) PIB (Y)10 30 50 0.9163496715 15 40 2.69741038
5 15 5 2.30498665 10 3.5 2.76714012
3.5 25 5 1.302408453 1.92 4 3.34989523
Datos paquete economicoNota: 1.92% es la paridad con valores de paquetes 2015 y 2016, paridad real es 8.67%PIB pronosticado 3.34989523PIB del paquete 3.6Error % 6.947% Y=o.o694x1-0.0898x2-0-0086x3+ 3.348
The table above shows the projection of GDP scenarios where change each
variable amounts of data and the economic package 2016, as we see, the changes
in GDP increase when the values of the variables on which depends the GDP in
our study are smaller and variations decrease as the values of the variables age,
also it shows that GDP growth is most affected by the exchange rate with other
variables. According to our results the GDP values of the economic package for
2016, it is provided that the growth of our economy will be 3.34%, an interval that
the government of 3.6% is below the forecast for 2016 but is within the range
established that is 2.6% -3.6%, this indicates that our equation predicts a similar
growth set by the government, but we must clarify, this is because the change in
parity is fixed by data claimed the government was the exchange rate for the 2015
and 2016, ie, the change in parity does not take into account the effects of the
current situation if not so provided the government, which the result of our
exchange equation 2.58 %. reflecting that government forecast is wrong for
28.33% if taken as fact 3.6% of prognosis and with minimal error of 0.76 below the
range of 2.6%.
Escenario ! Escenario 2 Escenario 3 Escenario 4 Escenario 5 paquete economico
0
0.5
1
1.5
2
2.5
3
3.5
4
PIB
=Interes Rate =
PIB (x1)Inflación(x2
) Paridad(x3) tasa de interés (Y)2 15 50 17.7331782
3.5 5 25 11.748579710 50 30 39.9186465
5 5 15 11.834189815 40 15 33.2935408
2.6 3 1.92 11.1405945Nota: 1.92% es la paridad con valores de paquetes 2015-2016, paridad real es 8.67%Interes pronosticado 11.1405945
Y=-0.1109x1+0.6448x2-0.0252x3+9.54
Interes paquete 4Error% -178.51%
In this case we can say that variables such as parity and mainly inflation has a
greater influence on the forecast of the interest rate as we see it reflected in the
table where the values of both are high and interest rates are lower when these
two variables have a more pequeño.En value relative to our forecast what would
be the interest rate with the values of indicators according to economic package is
11.14, well above the 4% set by the government for the following year, which gives
us an error of 178.51% negative.
=Análisis=
According to this we can mention that the projections of the equation obtained from
the two indicators (GDP and interest rate) vary depending on other variables, note
that in the case of GDP estimates vary but when the value of the exchange rate
(parity) is greater or less according to the scenarios presented above, and it has
simple explanation, since the parity is what increases or decreases the size of
GDP; pr the issue of devaluation or appreciation of our currency. In the case of
variable interest rate main showing a greater influence in this, is the inflation rate,
and because inflation is part of the composition of the interest rate, and a higher
rate of higher inflation will be the interest rate and the above viceversa.En also
note that the error in predicting our 2 ecuacuiones with respect to the values of the
2016 economic package is large in the case of GDP and in the case of rate
interest: but in these two cases the interpretation of our forecasts can be
misleading as the same package, because we know that in the case of the interest
rate, if our ecuation presents its variables worth creole value of our rate would be
11%, which would be a big problem for the economy of our country, since it would
increase inflation and opened greater commercial interest rate, affecting future
projects internally. such measures should also know that our economic life is not
linear, Therefore the real change would be different.
Conclusion:
The reality of the economic life of our economy can not be seen as a straight line,
because our country depends on the internal and external behavior of our
economy. The study of the linear regression is important to know the future
behavior, but does not show the true reality of that is always important in numerical
vasarce issues, but the factors that can change it is important to conclude
percepción.Para information for future decision making in all aspects of life, as a
way of taking precaution or take advantage