Global warming. Have average global temperatures been increasing in recent years
ID: 2949730 • Letter: G
Question
Global warming. Have average global temperatures been increasing in recent years?
Here are annual average global temperatures for the last 20 years in degrees Celsius.
year
temperature
1994
14.23
1995
14.35
1996
14.22
1997
14.42
1998
14.54
1999
14.36
2000
14.33
2001
14.45
2002
14.51
2004
14.52
year
temperature
2004
14.48
2005
14.55
2006
14.50
2007
14.49
2008
14.41
2009
14.50
2010
14.56
2011
14.43
2012
14.48
2013
14.52
(a) Find the least-squares regression line for predicting average global temperature from year.
Temperature = ±±(0.01) ___+ (±±0.0001)___×Year
(b) An environmentalist uses the line, based on the 20 years, to predict average global temperatures in 2050. What is the prediction?
Temperature (±±0.01) = ___degree celcius
year
temperature
1994
14.23
1995
14.35
1996
14.22
1997
14.42
1998
14.54
1999
14.36
2000
14.33
2001
14.45
2002
14.51
2004
14.52
year
temperature
2004
14.48
2005
14.55
2006
14.50
2007
14.49
2008
14.41
2009
14.50
2010
14.56
2011
14.43
2012
14.48
2013
14.52
Explanation / Answer
we will answer the question using MINITAB software...
a)
Regression Analysis: temp versus year
The regression equation is
temp = - 6.87 + 0.0106 year
Predictor Coef SE Coef T P
Constant -6.873 6.137 -1.12 0.277
year 0.010639 0.003063 3.47 0.003
b) hence, we have info that
year=2050
temp=-6.87+0.0106*2050=14.86
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