The percents P of research and development expenditures that weredefense related in the United States from 1987 to 2001 are shown inthe table.
Year Percent, P Year Percent, P
1987 32 1995 19
1988 30 1996 18
1989 28 1997 17
1990 25 1998 16
1991 22 1999 15
1992 21 2000 13
1993 20 2001 14
(a) use a grapyhing utility to create a scatter plot of the data.Let t represent the year, with t=7 corresponding to 1987.
(b) Use the regression feature of a graphing utility to find anexponential model for the data. Use the Inverse Property b=e^ln bto rewrite the model as an expnential model.
(c) Use a graphin utility to graph the model.
(d) Use the model to estimate the percent of research anddevelopment expenditures that were defense related in 2002 and2003.
(d) Use the coefficient of variation to determine with regressionis better.
The percents P of research and development expenditures that weredefense related in the United States from 1987 to 2001 are shown inthe table.
Year Percent, P Year Percent, P
1987 32 1995 19
1988 30 1996 18
1989 28 1997 17
1990 25 1998 16
1991 22 1999 15
1992 21 2000 13
1993 20 2001 14
(a) use a grapyhing utility to create a scatter plot of the data.Let t represent the year, with t=7 corresponding to 1987.
(b) Use the regression feature of a graphing utility to find anexponential model for the data. Use the Inverse Property b=e^ln bto rewrite the model as an expnential model.
(c) Use a graphin utility to graph the model.
(d) Use the model to estimate the percent of research anddevelopment expenditures that were defense related in 2002 and2003.
(d) Use the coefficient of variation to determine with regressionis better.
