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# Determine the Least Squares Equation and Estimate

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The numbers of bank failures for the years 1997 through 2001 are given below. Determine the least squares equation and estimate the number of failures in 2003.

Year Code Number of Failures
1997 1 79
1998 2 120
1999 3 138
2000 4 184
2001 5 200

Q3
3. The following table gives the annual amount of scrap produced by Machine Products, Inc.
Determine the least squares trend equation. Estimate the amount of scrap for the year 2003.

Year Code scrap(tons)
1997 1 2.0
1998 2 4.0
1999 3 3.0
2000 4 5.0
2001 5 6.0

9. Victor Anderson, the owner of Anderson Belts, Inc., is studying absenteeism among his employees. His workforce is small, consisting of only five employees. For the last three years he recorded the following number of employee absences, in days, for each quarter.
Determine a typical seasonal index for each of the four quarters.
Quarter
Year I II III IV
1999 4 10 7 3
2000 5 12 9 4
2001 6 16 12 4

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## Least Square Trend Equation

Determine the least squares equation. According to this information, what are the estimated sales for 2005?

Listed below is the net sales in \$ million for Home Depot, Inc. and its subsidiaries from 1993 to 2002.

Determine the least squares trend equation. Estimate the amount of scrap for the year 2005.

Year Net Sales
1993
9,239

1994
12,477

1995
15,470

1996
19,535

1997
24,156

1998
30,219

1999
38,434

2000
45,738

2001
53,553

2002
58,247

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