Question 634253: The monthly number of permits granted for building houses in a large city is seasonal (there tend to be more permits granted for construction during spring and summer months than during winter months). The following table shows the monthly seasonal indexes for building permits:
JAN FEB MAR APR MAY JUN JUL AUG SEPT OCT NOV DEC
0.80 0.84 0.91 1.14 1.36 1.25 1.15 1.08 0.89 0.91 0.88 0.82
Using several years of permit data, beginning in February of 2000 (i.e., t=1 corresponds to February of 2000), an analyst reported that the trend line that describes the monthly permit data is of the form Tt = 717+5t. Assuming that a multiplicative model can be used to describe the building permit data, generate a forecast for the number of building permits that you expect will be granted in June of 2005.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! The following table shows the monthly seasonal indexes for building permits:
JAN FEB MAR APR MAY JUN JUL AUG SEPT OCT NOV DEC
0.80 0.84 0.91 1.14 1.36 1.25 1.15 1.08 0.89 0.91 0.88 0.82
Using several years of permit data, beginning in February of 2000 (i.e., t=1 corresponds to February of 2000), an analyst reported that the trend line that describes the monthly permit data is of the form Tt = 717+5t. Assuming that a multiplicative model can be used to describe the building permit data, generate a forecast for the number of building permits that you expect will be granted in June of 2005.
----
T(t) = 717 + 5t
---
In 2005 t = 5
----
T(5) = 717 + 5*5
T(5) = 717 + 25
T(5) = 742
======================
Cheers,
Stan H.
======================
|
|
|
