Linear Model Project
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Feb 20, 2024
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Curve-Fitting Project - Linear Model: United States Population by Year (LR-1) Purpose
: To analyze the population in the United States using a linear model.
Data
: The data was retrieved from https://www.worldometers.info/world-population/us-population/
The data used is based off the total population reported in the United States, although more statistics are available per year and further back in time.
DATA:
United States
Population by Year
Year
Population
1955
171,685,336
1960
186,720,571
1965
199,733,676
1970
209,513,341
1975
219,081,251
1980
229,476,354
1985
240,499,825
1990
252,120,309
1995
265,163,745
2000
281,710,909
2005
294,993,511
2010
309,011,475
2015
320,878,310
2020
331,002,651
(LR-2)
SCATTERPLOT:
1950
1960
1970
1980
1990
2000
2010
2020
2030
0
50,000,000
100,000,000
150,000,000
200,000,000
250,000,000
300,000,000
350,000,000
United States Population
Year
Population
Page 1
of 4
(LR-3)
1950
1960
1970
1980
1990
2000
2010
2020
2030
0
50,000,000
100,000,000
150,000,000
200,000,000
250,000,000
300,000,000
350,000,000
f(x) = 2444198.92 x − 4607017413.93
United States Population with Regression Line
Year
Population
Line of Best Fit (Regression Line)
y = 2444198.924x - 4607017414 where x
= Year and y
= Population
(LR-4)
The slope is 2444198.924 annotating an average rate of increase of 2,444,199 people to the population in the United States each year.
The slope indicates that in general, the population increases by average at a rate of 2,444,199 people per year or 12,220,995 people every 5 years. Page 2
of 4
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Question:
The following data show the population of Turkey in the selected years between 1990 and 2020:
Year
1990 1995 2000 2005 2010 2015
61 68
? 74.1 79.1
Population (millions) 57
2020
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Predicted Population (millions)
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8,933
(l) 9766
India
(m) 1,655.7
1670.1
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Annual hours worked
3.500
1800
3,000 1900-191
2,500
2.000
1,500
L000
1870
1,000
1929
1929
1900 19501960
FRANCE 1938
6.000
1973
1973
11.000
1973
1980 1960
1990
1995
16,000
GOP per capita
1500
2000
2000
NETHERLANDS
21,000
US
21,000
2000
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2) US workers have always worked longer hours than French or Dutch workers
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4)
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40,000
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35,000-
Switzerland
30,000 -
(1990)
UK (1760-1990)
1953
25,000 -
Japan (1870-1990)
1973....A
20,000 -
Taiwan (1901-1990).
15,000 -
1910
10,000 -
1910
5,000 -
.1760 1800
ʻIndia (1860-1990)
0-
10,000 20,000 30,000 40,000 50,000 60,000 70,000 80,000
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Select one:
а.
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O c.
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Year
2015
2016
2017
2018
2019
2020
Total
Total
Basic
Nonbasic
Population Employment Employment Employment
50,000
53,000
57,000
65,000
70,000
?
25,000
26,500
28,500
32,500
35,000
?
6,250
6,625
7,125
8,125
8,750
9,000*
18,750
19,875
21,375
24,375
26,250
?
*Estimated from surveys.
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2016
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$
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$
188,838,342,527.98
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