Homework Nine.

 

                    

     The line plot appears as follows:

There is some evidence of seasonality albeit with a great deal of variability.  There appear to be about 7 separate peaks.

     The boxplot appears as:

A period of high body temperatures preceeds menstruation.  The onset of menstruation appears to be associated with a decrease in temperature of about 0.5 degrees.


     The ACF plot is:

Based on the shape of the plot, the between-peak distance is roughly 35, and thus the length of the period is about 35 days.

     The exponential smoothing model using a location parameter=0.15, linear parameter=0.01 and the seasonal parameter=0.05 appears as follows:


     Here are the predicted temperatures for the next cycle, using parameters of 0.15, 0.01, and 0.15:


Here are the predicted temperatures for the next cycle, using parameters of 0.15, 0.01, and 0.25:


 

Location

Linear

Seasonal

Standard Error

0.15

0.01

0.05

0.221952

0.15

0.01

0.15

0.229522

0.15

0.01

0.25

0.236464