A researcher wants to investigate the relationship between freedom and happiness and downloads the following 2018 data f
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A researcher wants to investigate the relationship between freedom and happiness and downloads the following 2018 data f
A researcher wants to investigate the relationship between freedom and happiness and downloads the following 2018 data for 20 countries: Country Index of Civil Liberties Index of Happiness Afghanistan 0.38 0.27 Algeria 0.38 0.50 Argentina 0.82 0.58 Azerbaijan 0.35 0.52 Canada 1.00 0.72 Chad 0.27 0.45 Colombia 0.82 0.60 Congo, Rep. 0.32 0.55 Ecuador 0.68 0.61 Haiti 0.59 0.36 Japan 0.88 0.58 Lebanon 0.47 0.52 Malawi 0.59 0.33 Mauritania 0.44 0.43 Nicaragua 0.41 0.58 Nigeria 0.44 0.53 Norway 0.97 0.74 Saudi Arabia 0.15 0.64 South Africa 0.79 0.49 United Kingdom 0.91 0.72 A higher index of civil liberties indicates a higher degree of freedom and a higher index of happiness indicates greater levels of happiness in a country. (a) Write down the regression of happiness as a function of civil liberties. (3 Marks) (b) Estimate the intercept and the slope of the linear model. Show your workings. (10 Marks) (c) The standard error for the slope is 0.100. Is the slope of the regression significantly different from zero at 10%? At 5%? Show your workings. (5 Marks) (d) The researcher claims that countries should increase civil liberties if they want to make people happier. Do you agree? Why? (4 Marks)
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