a) Using the data below, determine the subfunctions f i (t); i = 1,..., 6, to cr

Question

a) Using the data below, determine the subfunctions fi(t); i = 1,..., 6, to create a piecewise function, f(t), that models the employment to population ratio in Arizona that best represents the data.

Table 3: Employment-to-Population in AZ: 1969-2009

(b) Use the model to estimate the employment to population rate in the year 2010.

Year Total Employment Total Population Year Total Employment Total Population 1969 711, 344 1,737,000 1990 1,894,104 3,684,097 1970 746, 653 1,794,912 1991 1,902,691 3,788,576 1971 785, 731 1,896,108 1992 1,925,190 3,915,740 1972 849, 706 2,008,847 1993 2,010,588 4,065,440 1973 924, 890 2,125,281 1994 2,141,302 4,245,089 1974 955, 104 2,224,342 1995 2,257,829 4,432,499 1975 935, 070 2,286,348 1996 2,387,542 4,586,940 1976 976, 118 2,347,946 1997 2,497,166 4,736,990 1977 1, 047, 500 2,427,310 1998 2,610,870 4,883,342 1978 1, 149, 617 2,517,852 1999 2,696,787 5,023,823 1979 1, 240, 161 2,638,582 2000 2,795,770 5,166,304 1980 1, 282, 615 2,737,774 2001 2,823,452 5,303,869 1981 1, 312, 566 2,810,108 2002 2,841,538 5,451,472 1982 1, 315, 333 2,889,860 2003 2,941,131 5,590,820 1983 1, 378, 623 2,968,924 2004 3,039,930 5,758,692 1984 1, 504, 336 3,067,134 2005 3,208,243 5,973,970 1985 1, 621, 750 3,183,539 2006 3,369,783 6,190,987 1986 1, 700, 594 3,308,261 2007 3,465,578 6,360,238 1987 1, 764, 638 3,437,103 2008 3,399,940 6,499,207 1988 1, 833, 198 3,535,183 2009 3,217,666 6,587,653 1989 1, 864, 934 3,622,184

Explanation / Answer

For different year combination we can run Regression using the following path in Minitab

Stat-regression-regression

we will get the regression equations which will be different for different options of t

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