Coursepack, p. 526 MAT 133: 4.2 WS 4 p.3 2. The table shows the percent of the population who are literate and the percent who are undernourished for a random sample of countries in 2017. (Source: https://www.gapminder.org/) Percentage Percentage Country Literate Undernourished a) Find the least-square regression model for the situation. (Give 3 decimal places) Armenia 99.7 4.3 Azerbaijan 99.8 2.5 Burkina Faso 41.2 20 China 6.8 3.6 b) What is the slope of the regression line? Georgia 99.4 .9 Explain what it means in the context of the situation. Honduras 87.2 12.9 Kazakhstan 99.8 2.5 Mauritania 53.5 10.4 Samoa 99.1 2.7 Swaziland 88.4 20.6 c) What is the y-intercept of the regression line? Explain why the y-intercept does not make sense in the context of the situation. d) 94 percent of Mexico's population was literate in 2017. What would the model predict is the percentage of people undernourished in Mexico during that year? (Give units and 3 decimal places) e) The actual percentage of Mexico that was undernourished in 2017 was 3.6 percent. Find the residual. (Give units and 3 decimal places) f) What does the residual imply about how well Mexico is doing at feeding its citizens? (circle one) i. Mexico appears to be doing a good job feeding its citizens since the residual is negative ii. Mexico appears to be doing a good job feeding its citizens since the residual is positive iii. Mexico appears to be doing a bad job feeding its citizens since residual is negative iv. Mexico appears to be doing a bad job feeding its citizens the residual is positive