A city park has a train ride. The profit the park earns from the daily train rides is based on the number of passengers, x. The profit each day, P, is represented by the function P(x)=1.50x−25.

Select the phrase and value that best complete the sentence.

P(20)represents the profit earned based on _(ANSWER)___ , and P(20)= ___(ANSWER)___

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Consider the linear model for a two-stage nested design with b nested in a as given below. yijk=\small \mu + \small \taui + \small \betaj(i) + \small \varepsilon(ij)k , for i=1,; j= ; k=1, assumption: \small \varepsilon(ij)k ~ iid n (0, \small \sigma2) ; \small \taui ~ iid n(0, \small \sigmat2 ); \tiny \sum_{j=1}^{b} \small \betaj(i) =0; \small \varepsilon(ij)k and \small \taui are independent. using only the given information, derive the least square estimator of \small \betaj(i) using the appropriate constraints (sum to zero constraints) and derive e(msb(a) ).