1. You use a random sample of 1,002 individuals and estimate the following
OLS model
����! = 10.6 + 1.2 ∗ ��ℎ������
Where wage is measured in dollars per hour and schooling is measured in the
number of years of education. You have also calculated TSS = 8,000 and SER
= 2.00.
a. If a person increases the number of years of schooling by 4 years,
what is the predicted effect on their wage?
b. The sample average for years of schooling is 12. What is the sample
average for wage?
c. The sample covariance for wage and schooling is 2.15. What is the
sample standard deviation for years of schooling?
d. What is the R2?
e. If the education variable is in months of schooling rather than years
(assume a year of schooling is 12 months), what are R2, SER and �!?
2. You are interested in the effect of household income on the amount of
mortgage debt held. You collect a random sample and use OLS to estimate
the following model
= 1.0
+ 0.25
������!, �! = 0.34, ��� = 425.00
where Debt is mortgage debt in one hundred thousands and Income is
measured as total annual household income in ten thousands.
a. What is your conclusion regarding the effect household income on
mortgage debt?
b. On average, how much mortgage debt will a household with $100,000
of annual income have?
3. Use the CA test scores data on Cougars Courses. Provide the STATA output
along with your answers to the following questions.
a. You are asked by the Department of Education to determine the effect
of subsidized lunch on student achievement. What is your conclusion
regarding the effect of the percentage of students qualifying for
reduced-price lunch on average test scores?
b. Do you believe your results are useful for policy (can you use the
results to suggest a change that may improve test scores)? Why, or
why not?
c. Interpret the R2 from your regression.

Sample solution

Dante Alighieri played a critical role in the literature world through his poem Divine Comedy that was written in the 14th century. The poem contains Inferno, Purgatorio, and Paradiso. The Inferno is a description of the nine circles of torment that are found on the earth. It depicts the realms of the people that have gone against the spiritual values and who, instead, have chosen bestial appetite, violence, or fraud and malice. The nine circles of hell are limbo, lust, gluttony, greed and wrath. Others are heresy, violence, fraud, and treachery. The purpose of this paper is to examine the Dante’s Inferno in the perspective of its portrayal of God’s image and the justification of hell. 

In this epic poem, God is portrayed as a super being guilty of multiple weaknesses including being egotistic, unjust, and hypocritical. Dante, in this poem, depicts God as being more human than divine by challenging God’s omnipotence. Additionally, the manner in which Dante describes Hell is in full contradiction to the morals of God as written in the Bible. When god arranges Hell to flatter Himself, He commits egotism, a sin that is common among human beings (Cheney, 2016). The weakness is depicted in Limbo and on the Gate of Hell where, for instance, God sends those who do not worship Him to Hell. This implies that failure to worship Him is a sin.

God is also depicted as lacking justice in His actions thus removing the godly image. The injustice is portrayed by the manner in which the sodomites and opportunists are treated. The opportunists are subjected to banner chasing in their lives after death followed by being stung by insects and maggots. They are known to having done neither good nor bad during their lifetimes and, therefore, justice could have demanded that they be granted a neutral punishment having lived a neutral life. The sodomites are also punished unfairly by God when Brunetto Lattini is condemned to hell despite being a good leader (Babor, T. F., McGovern, T., & Robaina, K. (2017). While he commited sodomy, God chooses to ignore all the other good deeds that Brunetto did.

Finally, God is also portrayed as being hypocritical in His actions, a sin that further diminishes His godliness and makes Him more human. A case in point is when God condemns the sin of egotism and goes ahead to commit it repeatedly. Proverbs 29:23 states that “arrogance will bring your downfall, but if you are humble, you will be respected.” When Slattery condemns Dante’s human state as being weak, doubtful, and limited, he is proving God’s hypocrisy because He is also human (Verdicchio, 2015). The actions of God in Hell as portrayed by Dante are inconsistent with the Biblical literature. Both Dante and God are prone to making mistakes, something common among human beings thus making God more human.

To wrap it up, Dante portrays God is more human since He commits the same sins that humans commit: egotism, hypocrisy, and injustice. Hell is justified as being a destination for victims of the mistakes committed by God. The Hell is presented as being a totally different place as compared to what is written about it in the Bible. As a result, reading through the text gives an image of God who is prone to the very mistakes common to humans thus ripping Him off His lofty status of divine and, instead, making Him a mere human. Whether or not Dante did it intentionally is subject to debate but one thing is clear in the poem: the misconstrued notion of God is revealed to future generations.



Babor, T. F., McGovern, T., & Robaina, K. (2017). Dante’s inferno: Seven deadly sins in scientific publishing and how to avoid them. Addiction Science: A Guide for the Perplexed, 267.

Cheney, L. D. G. (2016). Illustrations for Dante’s Inferno: A Comparative Study of Sandro Botticelli, Giovanni Stradano, and Federico Zuccaro. Cultural and Religious Studies4(8), 487.

Verdicchio, M. (2015). Irony and Desire in Dante’s” Inferno” 27. Italica, 285-297.