Which of the following describes the end behavior over the domain of the square root function graphed? a. as x decreases in value, f(x) decreases in value. as x increases in value, f(x) increases in value. b. as x decreases in value, f(x) increases in value. as x increases in value, f(x) decreases in value. c. as x decreases in value, f(x) increases in value. as x increases in value, f(x) increases in value. d. as x decreases in value, f(x) decreases in value. as x increases in value, f(x) decreases in value.

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) ).