Sterilite 2. Inferences - Write at least one paragraph for each of the following questions. In the paragraph, you should explain as though you are talking to someone that is not in a statistics class. In other words, give details. A paragraph is 3-5 well-developed sentences. (40 points) MAT 152 Project 5 Data a. Now that you have investigated the relationships between y and each of the three different x variables, which explanatory variable (x) is the best predictor for Life Global Health Data Set Expectancy (y)? To defend your choice, discuss your investigation results for each (x, y) pairing from part 1, including correlation coefficients and their significance. Country Life Expectancy GDP per % Spending Corruptions b. Calculate the regression equation for the relationship you determined to be the "best" in (y) capita (x VS. GDP (x) Score (x) part a. What is the "rate of change" of your equation? Using this rate of change, Australia 82.7 53825 9.1 21 describe the behavior of Life Expectancy (y) as a result of changes in the explanatory Austria 81.7 50023 10.3 24 variable (x) that you chose. Belgium 81.6 45176 10 23 Canada 81.9 46213 0.4 17 Chile 80 23667 3.1 30 Czech Republic 79 23214 44 France 82.7 41761 1.5 30 . Discuss the overall fitness of your regression line to the data set, by graphing the line Germany 80.9 46564 11.3 19 on your scatter plot and by considering the correlation coefficient. Would you say that Hungary 76.1 28328 7.2 49 the explanatory variable you chose is reasonably predictive of Life Expectancy? Why or 21 why not? Iceland 82.9 67037 3.5 Israel 32.8 42823 39 Japan 84.2 40847 10.7 25 Netherlands 81.8 52368 10.1 16 Norway 82.8 77975 10.4 12 Poland 77.6 29291 6.7 37 Portugal 81.3 23031 9 36 49 Slovak Republic 77.3 19548 Slovenia 81.4 26170 8 40 Sweden 82.6 51242 10.9 11 Switzerland 83.2 3717 12.3 14 77.4 28242 4.2 58 Turkey 19 United Kingdom 82.3 41030 9.6 Sources: Corruptions Perceptions Index 2015: http:/www.transparencyorg/coi2015; OECD Health Statistics: https./www.oecd-ilibraryorg/social-issues-migration-health/data/oecd-he Life expectancy at birth, total years: https:/data.worldbank.org/indicator/SP.DYN.LEO0.IN?end=201 Data Dictionary. Life Expectancy. the average time (in years) a constituent of each location is exp the year of their birth. GDP per capita: a measure of economic output found by dividing the location's G its total population (measured in US Dollars). Health spending per capita: a measure of total resources spent on health care calculated by dividing total national health expenditures by the population (measur Spending versus GDP: the percentage of a location's Gross Domestic Produ Corruptions Score : A measure of the perc rated by global, corruption experts Corruption, 100 would be most Corrupt
