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MCS,PHD
Argosy University/ Phoniex University/
Nov-2005 - Oct-2011
Professor
Phoniex University
Oct-2001 - Nov-2016
41.  The table below shows the number of cars (in millions) sold in the United States for var- ious years and the percent of those cars manufactured by GM.
|
Year |
Cars Sold (millions) |
Percent GM |
 |
Year |
Cars Sold (millions) |
Percent GM |
|
1950 |
6.0 |
50.2 |
1980 |
11.5 |
44.0 |
|
|
1955 |
7.8 |
50.4 |
1985 |
15.4 |
40.1 |
|
|
1960 |
7.3 |
44.0 |
1990 |
13.5 |
36.0 |
|
|
1965 |
10.3 |
49.9 |
1995 |
15.5 |
31.7 |
|
|
1970 |
10.1 |
39.5 |
2000 |
17.4 |
28.6 |
|
|
1975 |
10.8 |
43.1 |
2005 |
16.9 |
26.9 |
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Use a statistical software package to answer the following questions.
a.  Is the number of cars sold directly or indirectly related to GM’s percent of the mar- ket? Draw a scatter diagram to show your conclusion.
b. Determine the correlation coefficient between the two variables. Interpret the value.
c.  Is it reasonable to conclude that there is a negative association between the two vari- ables? Use the .01 significance level.
d. How much of the variation in GM’s market share is accounted for by the variation in cars sold?
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