Please answer all kindly

The researcher estimated a second model for the daily percentage returns and obtained the results: rt=0.19+0.25rt1+0.75ut1+0.62log(t2)+utlog(t2)=0.250.05t1ut1+0.93log(t12)0.06t1ut1 The log-likelihood was 831.7. (v) Is the process for rt stationary in this model? Justify your answer. (1 mark) (vi) Is there a feature of the volatility of stock market returns which is accounted for by this model? Explain your answer. (1 mark) (vii) The log-likelihood here is larger (831.7 versus 829.5 ). Do you expect this? Justify your answer. (1 mark) (viii) Conduct a statistical test to determine which of the two models (the first one or the second one) is better supported by the data. Be sure to state the null and alternative hypotheses, calculate the test statistic and report the 5% critical value, and state your conclusion. (3 marks) The researcher estimated a second model for the daily percentage returns and obtained the results: rt=0.19+0.25rt1+0.75ut1+0.62log(t2)+utlog(t2)=0.250.05t1ut1+0.93log(t12)0.06t1ut1 The log-likelihood was 831.7. (v) Is the process for rt stationary in this model? Justify your answer. (1 mark) (vi) Is there a feature of the volatility of stock market returns which is accounted for by this model? Explain your answer. (1 mark) (vii) The log-likelihood here is larger (831.7 versus 829.5 ). Do you expect this? Justify your answer. (1 mark) (viii) Conduct a statistical test to determine which of the two models (the first one or the second one) is better supported by the data. Be sure to state the null and alternative hypotheses, calculate the test statistic and report the 5% critical value, and state your conclusion