The numbers of insured commercial banks y (in thousands) in the united states for the years 1987 to 1996 are shown in the table belo (Source: Federal Deposit Insurance Corporation) 1987 Number 13.70 (1000's) Year 1988 1989 1990 1991 1992 1994 1995 1996 12.99 13.12 12.71 12.34 11.92 12.27 12.51 12.68 a) What regression model would fit this data (linear, quadratic, cubic)= Explain.

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Chapter2: Second-order Linear Odes
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The numbers of insured commercial banks y (in thousands) in the
united states for the years 1987 to 1996 are shown in the table beloL
(Source: Federal Deposit Insurance Corporation)
Year
1987
1988
1989
1990
1991
1992
1994
1995
1996
Number 13.70
(1000's)
13.12
12.71
12.34
11.92
12.27
12.51
12.68
12.99
28
a) What regression model would fit this data (1linear, quadratic, cubic)?
Explain.
b) Use technology to determine the regression equation for this data.
Round your values to the nearest thousandth.
c) What is the independent variable in this problem? What is the
dependent variable? Explain.
d) Use your regression equation to predict the number of insured
commercial banks in the US in the year 2015.
e) Was the process you used in question (d) above considered
Interpolation or extrapolation? Explain.
f) Use your regression equation to predict the calendar year in which
you would expect there to be 50,000 insured commercial banks.
Transcribed Image Text:The numbers of insured commercial banks y (in thousands) in the united states for the years 1987 to 1996 are shown in the table beloL (Source: Federal Deposit Insurance Corporation) Year 1987 1988 1989 1990 1991 1992 1994 1995 1996 Number 13.70 (1000's) 13.12 12.71 12.34 11.92 12.27 12.51 12.68 12.99 28 a) What regression model would fit this data (1linear, quadratic, cubic)? Explain. b) Use technology to determine the regression equation for this data. Round your values to the nearest thousandth. c) What is the independent variable in this problem? What is the dependent variable? Explain. d) Use your regression equation to predict the number of insured commercial banks in the US in the year 2015. e) Was the process you used in question (d) above considered Interpolation or extrapolation? Explain. f) Use your regression equation to predict the calendar year in which you would expect there to be 50,000 insured commercial banks.
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