Use the attached file to construct the following co2maunaloacontentrations annualemissions.xlsx a. What are the random variables whose data are shown in the attached file. What is the type of these random variables? b. Draw two (or a single merged) time series of the two random variables c. Which of the two variables do you want to take as explanatory and which one as response? d. Make a scatterplot of the response/explanatory random variables. Why the scatteplot is the correct form of graphical representation? e. What does the scatterplot suggest? f. Can you derive a linear model for these two random variables? Will the model be valid? do you need to make any assumptions to make the model valid?

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year mean (ppm) annual CO2 emmissions in billion metric tons
1959 315.98 8.86
1960 316.91 9.39
1961 317.64 9.42
1962 318.45 9.75
1963 318.99 10.27
1964 319.62 10.83
1965 320.04 11.32
1966 321.37 11.87
1967 322.18 12.24
1968 323.05 12.91
1969 324.62 13.77
1970 325.68 14.90
1971 326.32 15.51
1972 327.46 16.23
1973 329.68 17.09
1974 330.19 17.02
1975 331.13 17.05
1976 332.03 17.99
1977 333.84 18.50
1978 335.41 19.08
1979 336.84 19.62
1980 338.76 19.50
1981 340.12 19.04
1982 341.48 18.88
1983 343.15 19.01
1984 344.87 19.66
1985 346.35 20.33
1986 347.61 20.63
1987 349.31 21.27
1988 351.69 22.11
1989 353.2 22.41
1990 354.45 22.76
1991 355.7 23.24
1992 356.54 22.58
1993 357.21 22.81
1994 358.96 22.97
1995 360.97 23.46
1996 362.74 24.16
1997 363.88 24.30
1998 366.84 24.21
1999 368.54 24.73
2000 369.71 25.45
2001 371.32 25.67
2002 373.45 26.28
2003 375.98 27.65
2004 377.7 28.64
2005 379.98 29.61
2006 382.09 30.59
2007 384.02 31.51
2008 385.83 32.09
2009 387.64 31.56
2010 390.1 33.36
2011 391.85 34.49
2012 394.06 35.01
2013 396.74 35.32
2014 398.81 35.58
2015 401.01 35.56
2016 404.41 35.52
2017 406.76 36.10
2018 408.72 36.83
2019 411.65 37.08
2020 414.21 35.26
2021 416.41 37.12
2022 418.53 37.49

 

Use the attached file to construct the following
co2maunaloacontentrations annualemissions.xlsx
a. What are the random variables whose data are shown in the attached file.
What is the type of these random variables?
b. Draw two (or a single merged) time series of the two random variables
c. Which of the two variables do you want to take as explanatory and which
one as response?
d. Make a scatterplot of the response/explanatory random variables. Why the
scatteplot is the correct form of graphical representation?
e. What does the scatterplot suggest?
f. Can you derive a linear model for these two random variables? Will the
model be valid? do you need to make any assumptions to make the model
valid?
Transcribed Image Text:Use the attached file to construct the following co2maunaloacontentrations annualemissions.xlsx a. What are the random variables whose data are shown in the attached file. What is the type of these random variables? b. Draw two (or a single merged) time series of the two random variables c. Which of the two variables do you want to take as explanatory and which one as response? d. Make a scatterplot of the response/explanatory random variables. Why the scatteplot is the correct form of graphical representation? e. What does the scatterplot suggest? f. Can you derive a linear model for these two random variables? Will the model be valid? do you need to make any assumptions to make the model valid?
Expert Solution
Step 1: Determine the given variables.

The data are given with 64 observations. 

Let Y: Annual CO2 emissions, X: mean(PPM)

To determine,

a) Random variables and their types,

b)Time series plot,

c) Explanatory / response variables,

d) Scatterplot,

e) Interpretation from scatter diagram,

f) Regression line

steps

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