Roller Coaster Passengers The graph shows the number of possible passengers for a given
number of roller coaster cars that leave the platform. Complete parts a
and b.
ty
24
Number of Passengers
16
8
0 1 . 2 3 4
Number of Cars
a. Use two sets of coordinates to write an equation to describe the relationship.
24
m=
1-2 1
y= x
(Simplify your answers. Use integers or fractions for any numbers in the expression.)

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) ).