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Topics: 1918, 1920, 1922 Pages: 8 (450 words) Published: January 19, 2014

Math 144 – CD
Final Project

Section 1. 4, Problem 19 (Apparent Room Temperature), p. 40

Relative Humidity, h (%)
Apparent Temperature T, (°F)
(x,y)
0
59
(0, 59)
10
60
(10, 60)
20
61
(20, 61)
30
61
(30, 61)
40
62
(40, 62)
50
63
(50, 63)
60
64
(60, 64)
70
65
(70, 65)
80
65
(80, 65)
90
66
(90, 66)
100
67
(100, 67)

Source: National Oceanic and Atmospheric Administration

Refer to template in example 1 how to use Excel.

a) Graph the line of best fit on the scatter diagram

b) Interpret the slope of best fit.
There is a strong positive correlation between years and prices. As the relative humidity progresses increases, the apparent temperature generally increases.

c) The apparent temperature of a room is 65 F (whose actual temp. is 65 F) if the relative humidity is 75%.

Section 1. 4, Problem 20 (Apparent Room Temperature), p. 41

Relative Humidity, h (%)
Apparent Temperature T, (°F)
(x,y)
0
68
(0, 68)
10
69
(10, 69)
20
71
(20, 71)
30
72
(30, 72)
40
74
(40, 74)
50
75
(50, 75)
60
76
(60, 76)
70
76
(70, 76)
80
77
(80, 77)
90
78
(90, 78)
100
79
(100, 79)
Source: National Oceanic and Atmospheric Administration

a) Graph the line of best fit on the scatter diagram

b) Interpret the slope of best fit.
There is a strong positive correlation between years and prices. As the relative humidity progresses increases, the apparent temperature generally increases. c) The apparent temperature of a room is 75 F (whose actual temp. is 75 F) if the relative humidity is 75%.

Section 1.4, Problem 21, p. 41

Year
Annual residential Energy Use in US from Petroleum (quadrillion btu) (x,y)
1997
10.71
(1997, 10.71)
1998
10.28
(1998, 10.28)
1999
10.69
(1999, 10.69)
2000
11.24
(2000, 11.24)
2001
10.98
(2001, 10.98)
2002
11.25
(2002, 11.25)
2003
11.61
(2003, 11.61)
2004
11.43
(2004, 11.43)
2005
11.56
(2005, 11.56)
2006
10.8
(2006, 10.8)
2007
11.38
(2007, 11.38)
2008
11.48
(2008, 11.48)
2009
11.22
(2009, 11.22)
Source: U.S. Department of Energy, Energy Information Administration

Let E be the dependent variable representing annual energy use from petroleum and let t be the independent variable representing time. Let t=0 correspond to the year 1995 Find the line of best fit for this data and then use this line to predict annual energy use from petroleum for the years 2015, 2030, and 2035. (Refer to instructions on the previous template).

Year 2015:
y = 0.0651*2015 -119.18 = 12.00
Year 2030:
y = 0.0651*2030 -119.18 = 12.97
Year 2035:
y = 0.0651*2035 -119.18 = 13.30

Ch. 1 Review Problem 46 (Concentration of Carbon Monoxide in the Air), p. 44

Year
Concentration of Carbon Monoxide (ppm)
(x,y)
1992
5.47
(1992, 5.47)
1994
5.34
(1994, 5.34)
1996
4.44
(1996, 4.44)
1998
4.03
(1998, 4.03)
2000
3.51
(2000, 3.51)
2002
2.97
(2002, 2.97)
2004
2.57
(2004, 2.57)
2006
2.22
(2006, 2.22)
2008
1.88
(2008, 1.88)
Source: U.S. Environmental Protection Agency

a) Draw the scatter diagram.

b) Slope m = (4.03 – 5.47) / (1998 – 1992) = -0.24
c) There is a strong negative correlation between years and concentration of Carbon Monoxide (ppm). As the years progresses increases, the prices decreases. d) Slope m’= (2.57 – 3.51) / (2008 – 2000) = - 0.1175

e) There is a strong negative correlation between years and concentration of Carbon Monoxide (ppm). As the years progresses increases, the prices decreases

Ch. 1 Review Problem 47 (Housing Costs), p. 44

Year
Price (Dollars)
(x,y)
1998
181,900
(1998, 181900)
1999
195,600
(1999, 195600)
2000
207,000
(2000, 207000)
2001
213,200
(2001, 213200)
2002
228,700
(2002, 228700)
2003
246,300
(2003, 246300)
2004...
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