Posted by **nia** on Tuesday, November 22, 2011 at 7:47pm.

The following data on the number of iron workers in the United States for the years 1978 through 2008 are

provided by the U.S. Bureau of Labor Statistics. Using regression techniques discussed in this section, analyze

the data for trend. Develop a scatter plot of the data and fit the trend line through the data. Discuss the strength

of the model.

Year Union members

(1000’s)

1978 17,340

1979 16,996

1980 16,975

1981 16,913

1982 17,002

1983 16,960

1984 16,740

1985 16,568

1986 16,390

1987 16,598

1988 16,748

1989 16,360

1990 16,269

1991 16,110

1992 16,211

1993 16,477

1994 16,334

1995 16,305

1996 16,145

1997 15,776

1998 15,472

1999 16,685

2000 15,359

2001 16,670

2002 16,098

2003 16,212

2004 16,316

2005 16,718

2006 16,707

2007 16,113

2008 15,128

- statistics -
**fixit**, Monday, May 28, 2012 at 8:53pm
y(predicted) = -34.92903226(X) + 86023.07742, where X = Year (1978, 1979, etc.)

The scatter plot slopes downward.

Correlation = - 0.633023997, which is consistent with a downward sloping plot. Also, the correlation is fairly strong at -0.633 suggesting the trend in iron workers have been decreasing over the last 31 years.

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