10. Let X1, X ~ Uniform(0, 0). The MLE is = X(n) = max{X1, ..., Xn}. ...,. Generate a dataset of size 50 with 0 = 1. ..., (a) Find the distribution of 0 analytically. Compare the true distribu- tion of to the histograms from the parametric and nonparametric bootstraps.

For 50 randomly selected speed dates, attractiveness ratings by males of their female date partnerS (x) are recorded along with the attractiveness ratings by females of their male date partners (y); the ratings range from 1 to 10. The 50 paired ratings yield *= 6.3, y = 6.1. r= - 0.283, P.value = 0.046, and g = 8.39 - 0.369x. Find the best predicted value of y (attractiveness rating by female of male) for a date in which the attractiveness rating by the male of the female is x= 4. Use a 0.01 significance level. see score The best predicted value of g when x= 4 is 7. (Round to one decimal place as needed.)

For 50 randomly selected speed dates, attractiveness ratings by males for their female date partners (x) are recorded along with the attractiveness ratings by females of the male date partners (y); the ratings range from 1 to 10. The 50 paired ratings yeild x=6.3, y=6.0, r= -0.163, p value= 0.259, and y ( with the ^) above it = 7.27 - 0.208x. Find the best predicted value of Y (attractiveness rating by female of male) for a date in which the attractiveness rating by male of the female is x=6. Use a 0.05 significance level. The best predicted value of Y when x=6 is ??

The built-in UKgas data set is a time series of UK gas consumption from 1960Q1 to 1986Q4, in millions of therms. We can easily convert this data to a vector with the assignment x 325. We will reject Ho if z = n) Continuing from part m, what is the value of z? o) Continuing from parts m and n, what is the p value of the test. p) Copy your R script for the above into the text box here. 108 >zstar where s is the sample standard deviation. What is the value of zstar? (Calculate from normal distribution)