You have a dog walking business. You charge based on the weight of the dogs. For a 45-minute walk your prices are: • For dogs that weight 0 to 15 lbs. you charge $5.00.
• For dogs between 15 lbs to 45 lbs. you charge $7.00
• Dogs over 45 lbs. you charge $9.00.

Define the variables:

Write a piecewise function for dog walking business, including the conditional statement for the variables.

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) ).