Box Plots

[Studyinghard]

Quarter       1          2           3             4
1998          6.8        6.9        6.7          6.4


1999          6.3        6.6         6.1         5.8


2000          5.8        6.1         5.7         5.5

In Quarter 1, 2001 Dallis had 4 million people either working or seeking work.
Unemployment was so high in this quarter that it would appear as an outlier on the box plot. Find the smallest number of people that were unemployed in Dallis for this quarter.

[Studyinghard]

Bump

[Gloamglozer]

Are the figures "6.8, 6.9, 6.7, 6.4" deseasonalised or seasonalised?

[Gloamglozer]

Since this thread hasn't been answered for a day, I'll give it a go.  I will presume the figures are not deseasonalised.  As a result, this is actually a pretty big question so I'll give you a run down on how to actually do the problem.  Any questions, just ask.

1.  You need to find the quarterly averages for 1998.  As an example, I'll do it:

Quarterly Average =

Quarterly Average =

2.  Next, you need to calculate the seasonal index.  The formula is:

SI =

SI_{quarter 1 1998} =

3.  Repeat step 2 for quarter 2, 3 & 4 for the rest of 1998.

4.  When you add up all the SI's, they should equal to 4 since you have 4 "seasons".

5.  Repeat steps 1-4 for 1999 and 2000.

6.  Once you have all the relevant seasonal indices, you are now ready to calculate the deseasonalised figures.  The formula is:

Deseasonalised figure =

For example, the deseasonalised figure for quarter 1 of 1998 would be:

Deseasonalised figure =

7.  Repeat step 6 for all the quarters in every year.

8.  Now that you have the deseasonalised figures, you are ready to plot the graph.  As you know on the y-axis you have unemployment and on the x-axis you will have the number of quarters.  As I have a TI-89, I will be using Stats/List.  Enter the values in, graph it and using the least squares regression line, I can find the equation in terms of unemployment and quarters.

9.  Use the equation to predict what will happen in quarter 1 of 2001.  This means that you will have to sub in 13 in the equation because quarter 1 of 2001 is quarter 13, so to speak.