(13 points) You want to model the relationship between a country\'s life expecta

Question

(13 points) You want to model the relationship between a country's life expectancy at birth and the explanatory (independent) variables of the proportion of the country that is forested and its military expenditure as a percentage of the gross domestice product (GDP). The data available are from Latin American countries and a few Caribbean island nations (for a total of 17 observations). Output obtained when running the regression using all variables in SPSS is given below. Model Summary R R Square Adjusted R Square Std. Error of the Estimate 650 0.422 0.339 2.66325 ANOVA Model Sum of Squares df Mean Square F Si. Residua Total 72.429 2 36.2145.110 99.301 14 171.729 16 Coefficients: B Std. ErrortSig Constant) 74.368 1.858 40.02 0.000 Forested 11.526 4.417 -2.61 0.021 1.3939 0.650 2.15 0.051 Consider first using an overall test to determine if at least one of the explanatory variables is useful in predicting life expectancy. Report the test statstic and P-value, then choose the appropriate conclusion. The test statistic for this test is The p-value for this test is Select the appropriate conclusion for this test at a significance level of a0.05. A. We have significant evidence that at least one of the explanatory variables is useful in predicting life expectancy. B. We do not have significant evidence that at least one of the explanatory variables is useful in predicting life expectancy If r1 stands for the amount forested, r2 stands for military expenditure, and y stands for life expectancy, fill in the blanks with the correct estimated model parameters from the output: Now consder determining if the proportion of the country that s forested is needed in the model when military expenditure is aready in the model by testing Ho : 3,-0 versus : 0 The test statistic for this test s The p-value for this test is Select the appropriate conclusion for this test at a significance level of a0.05. A. We have significant evidence that proportion of the country that is forested is useful in predicting life expectancy, even with military expendture aready in the model. B. We do not have significant evidence that proportion of the country that is forested is useful in predicting life expectancy when military expenditure is aready in the model. Now consder determining if miliatry expenditure is needed n the model when the proportion of the country that is forested is aready in the model by testing Ho :?= 0 versus 0 . The test statistic for this test is The p-value for this test is Select the appropriate conclusion for this test at a significance level of a0.05. A. We have significant evidence that military expenditure is useful in predicting life expectancy, even with percentage forested aready in the model. B. We do not have significant evidence that military expenditure is useful in predicting life expectancy when percentage forested is already in the model. Report the coefficient of determination for this model as a decimal:

Explanation / Answer

Overall F Statistic is 5.11

P value is 0.022

Option A is Correct

y = 74.368-11.526x1+1.3939x2

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