(a). Plot the series against time. Does it look stationary? Why or why not?

(b). Show the plots for the ACF and PACF for this time series. Describe the general features of the ACF and PACFs. Compare the sample ACF and PACF with those of a theoretical AR(2) process. How well do they conform to the actual plots? Are there any anomalies?

(c). Estimate an AR(1) process – with constant – for this series and save the residuals. Show the estimated coefficients for the regression below. In addition, show the Q statistics for the residuals. What is the null hypothesis associated with the Q statistic in this case? Why do they  show that the AR(1) model is inadequate for this time series? 

(d). If the underlying data generation process was an ARMA(1,1) model, what properties would you expect the ACF and PACF to have? Based on what you saw in (b), do you think an ARMA(1,1) model is an appropriate candidate? Why or why not? 

(e). Now, estimate both an ARMA(1,1) and an AR(2) model and present the results below. Of the three models you have estimated, which is selected by the AIC and SBC criteria?  What do the Q statistics suggest about model adequacy for the three models? 

Need an argumentative essay on Debate Pro-life and Pro-choice. Needs to be 2 pages. Please no plagiarism.

This is in relation to the fact that it s the men who mainly create the policies barring women from participating in abortions. This is considering that it is the woman’s choice on whether to bring the child into the world as it involves her health and wellbeing on multiple aspects. In this case, pro-choice activists view it as a violation of human rights towards a given individual, or even on a gender basis. This is following the issue of women being forced to bring to life children they cannot handle on their own, or even do not want to bring into the world (“Crisis Pregnancy Centers” 3). Pro-choice activists also argue that forcing a woman to bring such a child into this world is an immoral act, as unwanted children are the largest cause of violence (Riley 1). In this regard, children have a moral right to responsible and willing parents, which make conscious conception a necessity in today’s world with all its social tragedies. The pro-choice argument attempts to cover the wellbeing of both the child and the mother by bringing into perspective the social and economic wellbeing of the child and the health of the mother. In this light, the pro-choice argument supports legal abortion as it is of the view that whether abortion is legal or illegal, abortions are bound to happen, and it would rather they were legal in order to be safe than unsafe due to their illegality.

On the other hand, the pro-life argument concerns itself with pushing for the rights of the fetus based on the belief that it remains an unborn human being. As a result, the fetus has equal rights as any other normal human being. Furthermore, it concerns itself with the innocence of the fetus, where its innocence is similar to that a child with no offence and no knowledge of the world. Pro-life activists argue that it is immoral to end the life of an unborn fetus, as