Use this form to record your answers and include any work that you would like to
ID: 3175784 • Letter: U
Question
Use this form to record your answers and include any work that you would like to show the grader (you can part in photos or scant of your hand-written work if you like). Save this document in Word, rtf, txt, or pdf format and submit the document for grading via the course website. THESE ARE THE ONLY FIIE FORMATS THAT WILL BE ACCEPTED. This homework is out of 12 points and is worth 3 percent of your final grade. Note that almost all examples used below are fake. I made up them up for pedagogical purposes only. Average age to which people born right now Mill live if exposed to current death rates in the country. Percent of adults in the population that can read and write. Percent of the country's population residing in cities. Write cut the regression equation implied in the results for Model 1. Interpret the slope coefficient for the effect of % Literate in Model 1. Is the association between literacy and life expectancy statistically significant? Explain how you reached your conclusion. Interpret the coefficient of determination in Model 1. Do these results support the idea that population health (as measured by life expectancy) is affected by education levels (as measured by % literate)? Explain your answer. Be sure to incorporate direction, magnitude, and statistical significance of the association in your explanation. A critic of the education argument suggests that any association between literacy and life expectancy is a spurious byproduct of urbanization; in countries in which the population Is concentrated in cities people have access to both schooling and health care, creating an association between literacy between literacy and life expectancy that is not causal. To test this argument, interpret Model 2 of the table above. Write out the regression equation implied in the results for Model 2. Predict the life expectancy fora country in which 75% of the population can read and write and 50% of the population lives in ditties.Explanation / Answer
A.
From Model 1 we have
Life expectancy = 38.541 + 0.403 (% Literature)
B.
75% of the population can read and write
Life Expectancy = 38.541 + 0.403 (75)
Life Expectancy = 38.541 + 30.225 = 68.766
Life expectancy for the country with the 75% population can read and write is 68.766 years
C.
Constant in model 1 = 38.541.
It means that if the country has 0% literature, then on an average life expectancy will be 38.541 years.
D.
Slope coeffcient for the effect of % Literature in model 1 = 0.403.
On an average, as literature increase by 1%, then life expectancy increases by 0.403 years.
E.
The coefficient for % Literacy is statistically significant with the p-value < 0.001. Hence, we can conclude that there is a associaton between literacy and life expectancy is statistically significant.
F.
Coeffcient of determination is denoted as R2 which is defined a proportion of variance explained by the model. In model, R2 is 0.749. It means that 74.9% of the total variance in the life expectancy is explained by the independent variable % Literacy
G.
The association between literature and life expectancy is statistically significant with the coefficient of 0.403 with the p-value of <0.001. The coefficient is positive hence, there is a positive correlation between % Literature and Life expectancy, i.e., as the %Literature increases Life expectancy is increasing. Which indicates that education levels are actually impacting the population health.
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