Homework 2 Problem 2

# Homework 2 Problem 2 - 1992 1994 1996 1998 2000 2002 Year...

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Homework 2 Problem #2 Year Time Period (x) Productivity (y) x 2 xy 1993 1 90.2 1 90.2 1994 2 93.0 4 186 1995 3 96.5 9 289.5 1996 4 100.0 16 400 1997 5 103.8 25 519 1998 6 108.9 36 653.4 1999 7 114.0 49 798 2000 8 118.3 64 946.4 Sum 36 824.7 204 3882.5 “x bar” = 36 / 8 = 4.5 “y bar” = 824.7 / 8 = 103.0875 b = (3882.5 – 8 * 4.5 * 103.0875) / (204 – 8 * 4.5 2 ) = 171.35 / 42 = 4.079761905 a = 103.0875 - 4.079761905 * 4.5 = 84.72857143 Trend-line: y = 84.73 + 4.08x Homework Problem 2 80 90 100 110 120 130

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Unformatted text preview: 1992 1994 1996 1998 2000 2002 Year Productivity Productivity 1) Trend Projection – the graph obviously shows an increasing trend for the data 2) F 9 = 84.73 + 4.08(9) = 121.45 partial productivity 3) The forecast for the year 2001 was 1.75 higher than the actual partial productivity of 2001. This is a close estimate and provided the firm with essential information for budgeting....
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