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Q: quantitative/stats (28) ( Answered,   0 Comments )
Subject: quantitative/stats (28)
Category: Business and Money > Economics
Asked by: k9queen-ga
List Price: $20.00
Posted: 29 Oct 2003 22:11 PST
Expires: 28 Nov 2003 22:11 PST
Question ID: 271035
The operations manager of a musical instrument distributor feels that
demand for bass drums may be related to the number of television
appearances by the popular rock group Green Shades during the
preceding month.  The manager has collected the data shown in the
following scale:

Demand for bass drums                 Green Shades Tv appearances
3                                             3
6                                             4
7                                             7
5                                             6 
10                                            8
8                                             5

a) graph these data to whether a linear equation might describe the
relationship between the group's television shows and bass drum sales.

b)Use the latest squares regression method to derive a forecasting

c)What is youe estimate for bass drum sales if the Green Shades
performed on TV nine times last month?
Subject: Re: quantitative/stats (28)
Answered By: till-ga on 30 Oct 2003 00:17 PST
As I canīt include graphics in my answer I will lead you to a website
where you can get a plot of you data and a complete regression
analysis within a few seconds.
All you got to to is type the above given data in a table.

Please got to the 
Webstat Main Page
( )
and select "Fire it up" there. You will see a table with rows and
columns then. Enter the data as pairs of var1-var2 into the table.
Then select "Stat" and you will be offered a Regression, select
"simple linear".
Select var1 as x-variable and var2 as y-variable.
Click the "next" button and mark all three option fields. Enter 9 in
the "Predict Y for X" field (this will answer question part c).
Then press "calculate" and you will get the following results:

Simple linear regression results:
Dependent Variable: var2
Independent Variable: var1 

Sample size: 6
Correlation coefficient: 0.7702
Estimate of sigma: 1.3340393

Parameter   Estimate   Std.Err.      DF   T-Stat     P-Value 
Intercept   1.6440678    1.6868452   4    0.9746406  0.3849 
var1        0.59322035   0.24561656  4    2.4152296  0.0731 

X value       Pred. Y   s.e.(Pred. y)     95% C.I.             95%
9.0           6.983051  0.8207661         4.704239, 9.261863)
(2.6342852, 11.331817

The forecasting equation is:
Y = 1.6440678 + 5.59322035*X

The precited Y value (amount of bass drums) for 9 performances is

( )

Sorry about the poor formatting here, but we canīt use formatted
tables here.

The data will be plotted there as well, by clicking Save/print you can
print the data on your printer.

I hope this answers your question.


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