(Step-by-Step) Approximation of discrete derivative of the data. Construct the table that approximates the derivative of the unemployment rate using the
Question: Approximation of discrete derivative of the data.
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Construct the table that approximates the derivative of the unemployment rate using the equation:
\[u'\left( {{t}_{0}} \right)\approx \frac{u\left( {{t}_{0}}+\Delta t \right)-u\left( {{t}_{0}} \right)}{\Delta t}\]Year, t rate of change
of the annual
unemployment
rate, u’(t)1980 1981 1982 1983 1984 1985 1986 1987 1988 1989 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000 2001 2002 2003 2004 2005 2006 - Plot the data points approximating the rate of change of the annual unemployment rate from 1990 to 2005. On the same window, plot the annual unemployment rate from 1990 to 2005.
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