Q5. Using the boy band dataset provided by Sommet and Morselli (2021), please compare results of ordinary regression, quantile regression, and multilevel regression with the specification: Popularity score = a + Hotness + BPeriod (a) Show the result of the ordinary regression, and explain the meaning of B-6pts (b) Run regressions for 20%, 40%, 60% and 80% quantiles. Please show all the quantile estimates of along with that of the ordinary regression in a plot, and comment on your finding.-11pts (c) Since idols in the same band are correlated, please use the multilevel regression to incorporate the band/group effect into the intercept and coefficient estimates. You are required to show the model specification, and comment the estimate of B: What is the value and meaning? Why is it different from that of the ordinary regression?- 12pts (d) Following (c), what is the meaning of random effects: variance of hotness reported by the R multilevel package? -5pts