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Question 5 A financial researcher is interested in studying how successfulness of a financial institution (Success) is affected by several variables: the size of the financial institution (Size), its financial performance (Performance) and its years of establishment (Year). The outcome variable, Success is binary. The descriptions of each of the variables are given below: Variable Description Success Successfulness of financial institution (1 = most successful; 2 = least successful) Size Size of financial institution (1 = large; 0 = small) Performance Financial performance Year Year of establishment A random sample of 24 financial institutions are randomly drawn. Data have been processed by R using logistic regression model (logit) and the output table are given below: call: glm(formula = Success ~ Size + Performance + Year, family = "binomial", data = dat) Deviance Residuals: Min 1Q Median 3Q Max -2.2385 -0. 2989 -0. 0140 0. 2429 1. 3984 Coefficients: Estimate Std. Error z value Pr(> |z|) (Intercept) -2. 6897 3.1685 -0. 849 0. 3959 Sized -3. 1657 1. 6947 -1. 868 0. 0618 Performance 2. 1000 1. 0460 2. 008 0. 0447 Year 0. 1610 0. 3055 0. 527 0. 5982 (a) Determine the logistic regression line obtained. (b) At the 5% level of significance, evaluate whether Performance is statistically significant? (c) Evaluate the change in In(odds) of Success for every unit increase in Performance, given that other variables remain unchanged. (d) Evaluate the change in odds of Success for every unit increase in Year, given that other variables remain unchanged