3. The Global Health Observatory (GHO) keeps tracking the health status in countries for years to find out the predictin

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3 The Global Health Observatory Gho Keeps Tracking The Health Status In Countries For Years To Find Out The Predictin 1 (94.89 KiB) Viewed 28 times

3. The Global Health Observatory (GHO) keeps tracking the health status in countries for years to find out the predicting factors of the life expectancy (9) in years. One such important factor is the number of years of schooling (X). The following regression outputs (with some numbers missing) are obtained by fitting a linear regression model for Yon X. SUMMARY OUTPUT Regression Statistics Multiple R 0.81815943 R Square Adj. R Square Standard Error 4.57501316 Observations ANOVA F 346.217699 Significance F 5.92695E-43 Regression Residual Total df 1 171 172 MS 7246.59454 20.9307454 SS 7246.59454 3579.15747 10825.7520 t Stat P-value Standard Coefficients Error 42.90159072 1.58699604 2.228726885 0.11977942 Lower 95% 39.76896535 Upper 95% 46.03421609 Intercept X a. Report the fitted equation. b. Interpret the slope estimate. c. Determine the coefficient of determination and discuss its meaning in the context of this problem. d. Determine if there is enough evidence at 5% level to infer that number of years of schooling and life expectancy are linearly related. e. Construct a 95% confidence interval for the slope parameter of the regression model and repeat part d. f. Estimate the mean life expectancy of people who attended schools for 12 years with 95% confidence. [Hint: the average number of years of schooling is 12.927, with a sample SD 2.912, for the above 173 countries in the regression outputs.] g. Construct a 95% confidence interval for the life expectancy of a person who attended schools for 12 years.