11. The table shows the average amount households spend annually on utilities in a particular community. Calculate the finite differences (first and second differences) and the ratios. Year 2000 Average Amount ($) 6214.00 2001 6648.98 2002 7083.92 2003 7518.89 2004 7953.90 First Difference Second Difference Ratios a) Which model appears most suitable: linear, quadratic, exponential, or none of these? 3 3₁₂-mx+b STATISTICS 7=1 RESIDUALS plot Xb) Desmo produced the data to the left for this table (assuming 2000 to be year 0). Write the following equations: Linear: PARAMETERS m=434.971 b=6214 Exponential: y₁-ax² + bx₁ + c STATISTICS RESIDUALS plot PARAMETERS a=0.00642857 b=434.945 c=6214.01 X Quadratic: c) Use the model you think is best to calculate the average amount spent on utilities in 1995. y₁-a(b)* Log Mode STATISTICS R²=0.9987 RESIDUALS PARAMETERS a=6242.62 b=1.06326
11. The table shows the average amount households spend annually on utilities in a particular community. Calculate the finite differences (first and second differences) and the ratios. Year 2000 Average Amount ($) 6214.00 2001 6648.98 2002 7083.92 2003 7518.89 2004 7953.90 First Difference Second Difference Ratios a) Which model appears most suitable: linear, quadratic, exponential, or none of these? 3 3₁₂-mx+b STATISTICS 7=1 RESIDUALS plot Xb) Desmo produced the data to the left for this table (assuming 2000 to be year 0). Write the following equations: Linear: PARAMETERS m=434.971 b=6214 Exponential: y₁-ax² + bx₁ + c STATISTICS RESIDUALS plot PARAMETERS a=0.00642857 b=434.945 c=6214.01 X Quadratic: c) Use the model you think is best to calculate the average amount spent on utilities in 1995. y₁-a(b)* Log Mode STATISTICS R²=0.9987 RESIDUALS PARAMETERS a=6242.62 b=1.06326
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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Transcribed Image Text:11. The table shows the average amount households spend annually on utilities in a particular community.
Calculate the finite differences (first and second differences) and the ratios.
Year
2000
Average Amount ($)
6214.00
2001
6648.98
2002
7083.92
2003
7518.89
2004
7953.90
First Difference
Second
Difference
Ratios
a) Which model appears most suitable: linear, quadratic, exponential, or none of these?
3
3₁₂-mx+b
STATISTICS
7=1
RESIDUALS
plot
Xb) Desmo produced the data to the left for this table (assuming 2000
to be year 0). Write the following equations:
Linear:
PARAMETERS
m=434.971
b=6214
Exponential:
y₁-ax² + bx₁ + c
STATISTICS
RESIDUALS
plot
PARAMETERS
a=0.00642857
b=434.945
c=6214.01
X
Quadratic:
c) Use the model you think is best to calculate the average amount
spent on utilities in 1995.
y₁-a(b)*
Log Mode
STATISTICS
R²=0.9987
RESIDUALS
PARAMETERS
a=6242.62
b=1.06326
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