Testing an Exponential Model for World Population Use the following data for the World population in billions in the given time period to compute the items indicated. Year (x) Population (y) Lny A(Lny) 1925 2000 1975 4.09 1850 1875 1900 1950 2.56 940 .247 25 0.0 1.20 1.33 1.63 2.00 6.10 .285 103 25 0.489 0.693 .205 203 25 Q5 0.001 0008 1.308 .400 182 1,408 25 25 Ax Slope (k) Intercept (C) 0.00M --- List the value of h. h = List computed slopes in the table and their average here. 天= List the relative deviations of the slopes from k. 医一 Fーk Are they acceptably small? List computed intercepts in the table and their average here. C= Write the model exponential equation: Plot the model equation and the data points on a single graph. Is this a good model? Your conclusion:

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Testing an Exponential Model for World Population Data
Use the following data for the World population in billions in the given time
period to compute the items indicated.
Year (x)
Population (y)
Lny
A(Lny)
1850
1875
1900
1925
1950
1975
2000
1.20
1.33
1.63
2.00
2.56
4.09
6.10
182
285
.103
25
0.488 0.693
940
1.402
1.308
247
25
0.001
.203
.205
468
.400
25
25
25
25
Ar
---
Slope (k)
Intercept (C)
0.004
0.001 0.00
0.012-0016
List the value of h.
h =
List computed slopes in the table and their average here.
List the relative deviations of the slopes from k.
に一k
k
Are they acceptably small?
List computed intercepts in the table and their average here.
C=
Write the model exponential equation:
Plot the model equation and the data points on a single graph.
Is this a good model? Your conclusion:
Transcribed Image Text:Testing an Exponential Model for World Population Data Use the following data for the World population in billions in the given time period to compute the items indicated. Year (x) Population (y) Lny A(Lny) 1850 1875 1900 1925 1950 1975 2000 1.20 1.33 1.63 2.00 2.56 4.09 6.10 182 285 .103 25 0.488 0.693 940 1.402 1.308 247 25 0.001 .203 .205 468 .400 25 25 25 25 Ar --- Slope (k) Intercept (C) 0.004 0.001 0.00 0.012-0016 List the value of h. h = List computed slopes in the table and their average here. List the relative deviations of the slopes from k. に一k k Are they acceptably small? List computed intercepts in the table and their average here. C= Write the model exponential equation: Plot the model equation and the data points on a single graph. Is this a good model? Your conclusion:
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