The world bank zip file (WDI_EXCEL) contains information on a wide range of countries, and there are around 370,000 rows of data. Big cross-country data sets like this are updated less frequently than country level data, but they allow a range of comparisons to be made. For Australia and New Zealand find the data for the data for: "Methane emissions (kt of CO2 equivalent)". The data will run from 1990 to 2020 (inclusive). Note that the individual country data is indexed alphabetically.

Use a regression model with Time (Year) as the explanatory variable and the log of Methane emissions (kt of CO2 equivalent) as the dependent variable and select the appropriate responses for Question 4. The specific question you will need to answer are as follows:

Whether emissions in Australia and New Zealand have reduced/increased/not changed over the sample period.

Whether or not emission changed faster in one country compared to the other (defined by the difference in the slopes).

Whether emissions are higher in Australia or New Zealand (defined by the difference in the intercepts).

Whether or not there is evidence of within group autocorrelation.

Whether or not there is evidence of heteroskedasticty.

solve using R

using data set:

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Country Name	Country Code	Indicator Name	Indicator Code	1990	1991	1992	1993	1994	1995	1996	1997	1998	1999	2000	2001	2002	2003	2004	2005	2006	2007	2008	2009	2010	2011	2012	2013	2014	2015	2016	2017	2018	2019	2020
Australia	AUS	Methane emissions (kt of CO2 equivalent)	EN.ATM.METH.KT.CE	143963.4518	144369.5952	142589.2461	141173.3985	142055.5843	141174.8666	135242.431	136333.0255	140251.3865	155000.7971	165945.0627	176871.5074	170481.6823	130893.3894	151512.9589	133024.2817	151664.4966	149356.4064	133197.6192	137197.9021	129412.3143	177596.5253	176798.0167	140883.7869	154126.1748	151225.3204	134687.3658	157518.4258	156428.4008	144211.7857	131484.7632
New Zealand	NZL	Methane emissions (kt of CO2 equivalent)	EN.ATM.METH.KT.CE	32973.42867	32562.33643	32272.69936	32235.78977	33008.03521	33754.36056	33365.65387	33714.5906	32972.1145	33313.73033	32754.44514	33077.81077	33821.96034	33938.27504	33844.94364	33749.83903	33938.05154	33887.24122	33297.88316	33613.45692	33578.19957	33510.93673	33984.41218	33804.43657	34096.55682	33219.46724	33181.70713	32959.37397	32778.70832	32574.08016	32241.937