OH= 57.370 x 1.010 O H = 52.587 x 1.035 (c) What was the yearly percentage growth rate in median family income during this period? (Use the model found in part (b). Round your answer to one decimal place.) X % (d) From 2003 through 2008. inflation was about 3% per vear, Did median family income keep pace with inflation during this period?

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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PART C ONLY
For this exercise, round all regression parameters to three decimal places.
The following table shows the median income, in thousands of dollars, of American families for 2003 through 2008.
Year
Income (thousands of dollars)
2003
52.68
2004
54.06
2005
56.19
2006
58.41
2007
61.36
2008
61.52
(a) Plot the data.
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Transcribed Image Text:For this exercise, round all regression parameters to three decimal places. The following table shows the median income, in thousands of dollars, of American families for 2003 through 2008. Year Income (thousands of dollars) 2003 52.68 2004 54.06 2005 56.19 2006 58.41 2007 61.36 2008 61.52 (a) Plot the data. H H 62 62 61 61 60 60 59 59 58 58 57 57 56 56 55 55 54 54 53 53 2004 2005 2006 2007 2008 2004 2005 2006 2007 2008 P Type here to search B. FULL HD 1080 ace A SP 1RE
M Gmail
8 YouTube
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Content
Bb 42823707 * Mind Tap - Cengage.
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(b) Use exponential regression to construct an exponential model for the income data. (Let t be years since 2003 and H be the median household income in thousand of dollars.)
OH- 49.035 x 1.245t
OH = 71.932 x 0.856t
OH = 62.520 x 0.967t
OH = 57.370 x 1.010
O H = 52.587 x 1.035
(c) What was the yearly percentage growth rate in median family income during this period? (Use the model found in part (b). Round your answer to one decimal place.)
X %
(d) From 2003 through 2008, inflation was about 3% per year. Did median family income keep pace with inflation during this period?
O Yes
O No
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Transcribed Image Text:M Gmail 8 YouTube O Maps 5 Mail - Frizzell, Abig. Content Bb 42823707 * Mind Tap - Cengage. 56 56 55 55 54 54 53 53 2004 2005 2006 2007 2008 2004 2005 2006 2007 2008 (b) Use exponential regression to construct an exponential model for the income data. (Let t be years since 2003 and H be the median household income in thousand of dollars.) OH- 49.035 x 1.245t OH = 71.932 x 0.856t OH = 62.520 x 0.967t OH = 57.370 x 1.010 O H = 52.587 x 1.035 (c) What was the yearly percentage growth rate in median family income during this period? (Use the model found in part (b). Round your answer to one decimal place.) X % (d) From 2003 through 2008, inflation was about 3% per year. Did median family income keep pace with inflation during this period? O Yes O No Submit Answer 6:22 PM * B O В. 4/21/2022 P Type here to search FULL HD 1080• SPI RE Pause PrtSc Prtsc SysRa F5 F6 F9 F10 F11 F12 Insert Delete F4 Esc A Scr Lk Break
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