(3)Note: parts(a)and(b)arenotconnected to each other.

(a)[12 pts] Recall Pritchett and Summers (2014) and the PWT 9.1 database. Define the variable rgdpna_pc as real GDP per capita in 2011 US dollars and ln_rgdpna_pc as the natural log of it. Using the data from 2010 to 2017, where the variable year takes values from 2010 to 2017, consider these four regressions.

Regression #1, Taiwan: rgdpna_pc-hat = -1658633 + 843.8803*year; n = 8; R-squared = 0.9808

Regression #2, Taiwan: ln_rgdpna_pc-hat = -31.49061 + 0.0209084*year; n = 8; R-squared = 0.9782

Regression #3, Cte d'Ivoire: rgdpna_pc-hat = -282708.1 + 141.8272*year; n = 8; R-squared = 0.9302

Regression #4, Cte d'Ivoire: ln_rgdpna_pc-hat = -91.2244 + 0.0492557*year; n = 8; R-squared = 0.9271

Which country had faster growth?Explainand make specific reference to thedirectly relevant partsof the regression output andinterpretthose parts. Justify your choice of which regressions to focus on. Answer with sentences

(b)[10 pts] Draw adensity plotof the triangle random variable?=?+?

X=U+W, where?

Uand?

Ware independent random variables and are each distributed asU[-10, 30]. Draw neatly and label clearly, including indicating the density at the highest point, labeling the boundaries of the support and labeling the axes. Write down the values of theparametersof this triangle distribution and give its expectation and variance.