Please help with the following question

1. How do discoveries of natural resources, such as oil reserves, affect a country's political institutions? This is an important question for students interested in international relations, public policies, and energy markets. Kevin Tsui uses a data set with 132 observations to answer this question using a few OLS regressions, reported below. The response variable in all regressions is the change in a country's political institutions, as measured by the Polity IV index - an index that ranges from -10 for an autocracy to 10 for a full democracy. The variable of interest among the explanatory variables is the amount of oil discovered in a country in the last decade, measured in 100 Giga barrels. Regression 1 is a single variable regression, looking only at the effect of oil discoveries on the change in Polity IV index. Regressions 2 and 3 are multi-variable regression, including additional information about a given country. Standard errors of the coefficients are shown in parentheses below each coefficient. Ignore the stars on the coefficients. OLS OLS OLS Variable (1) (2) (3) Oil Discovered -0.075 -0.106 -0.152 (per 100 Gb) (0.030)** (0.038)** (0.045)** Oil xDemocracy 0.283 Before Discovery (0.089)** Democracy Before -0.781 -0.823 Discovery (0.092)** (0.094)** In (Income 0.117 0.114 Before Discovery) (0.033)** (0.035)** In (Population 0.008 0.002 Before Discovery) (0.014) (0.017) Fraction Muslims -0.268 -0.217 (0.069)** (0.078)** Ethnic -0.147 -0.168 Fractionalisation (0.087)* (0.093)* British Legal Origin 0.020 0.036 (0.052) (0.052) Communist -0.216 -0.180 (0.057)** (0.063)** Independent 0.128 0.091 Before Discovery (0.055)** (0.059) (a) (2 points) Carefully interpret the coefficient on oil discovered in Regression 1. (b) (4 points) Calculate a 95% confidence interval for the coefficient on oil discovered in Regression 1. (c) (2 points) "British legal origin" is a categorical variable taking value 1 if the country's legal system is of British origin and 0 otherwise. Carefully interpret the coefficient on British legal origin in Regression 2