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ETC1000 - Business and economic statistics - S2 2025
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This question is based around annual CO2 emissions for countries around the world over many years. Of particular interest is how CO per capita (millions of tonnes) and GDP per capita ($) are related to each other. To investigate this, we construct a scatter plot between these two variables using data from 2016 (shown below).
Referring to the scatter plot, it was decided that the country with CO per capita of 29.2 and GDP per capita of 24,000 is an outlier, so the correlation was recalculated without this country.
The new correlation will be:
Estimate a simple linear regression model of Happiness on Income. That is, estimate the model
If my income rises by $1000, how much does the model predict that my happiness will rise? (Report to 4 decimal places)
This question is based around annual CO2 emissions for countries around the world over many years. Of particular interest is how CO per capita (millions of tonnes) and GDP per capita ($) are related to each other. To investigate this, we construct a scatter plot between these two variables using data from 2016 (shown below).
Referring to the scatter plot, it was decided that the country with CO per capita of 29.2 and GDP per capita of 24,000 is an outlier, so the correlation was recalculated without this country.
The new correlation will be:
Compare two countries with the same GDP per capita, population, and number of hospital beds per thousand, but one country has 10% of the population aged 65 or older, and the other has 20%. How many more cases per million is predicted by the model for the country with 20% of the population aged 65 or older?
(Report to the nearest integer value)Compare two countries with the same GDP per capita, population, and number of hospital beds per thousand, but one country has 1% more of their population aged 65 or older compared to the other country. How many more cases per million is predicted by the model for the country with the higher proportion of the population aged 65 or older?
(Report to the nearest integer value)