Table 1 presents the data on each of the variables for the first 2 rats. Table 1: Rat Brain data for rats 1 and 2 Rat Act Treat Reg 1 366.19 1 1 1 199.31 1 2 1 187.11 1 3 1 371.71 2 1 1 302.02 2 2 1 449.70 2 3 2 375.58 1 1 2 204.85 1 2 2 179.38 1 3 2 492.58 2 1 2 355.74 2 2 2 459.58 2 3

Let 0, 1, 2, 3, 4 and 5 denote the GLS estimates of the fixed effects 0, 1, 2, 3, 4 and 5, respectively. The predicted marginal value of Actti is given by E(Actti)=0+1Treat2ti +2Reg2ti +3Reg3ti +4Treat2ti Reg2ti +5Treat2ti Reg3ti. A marginal residual for model (1B) is the difference between the observed value of Act and the predicted marginal value of Act and is given by =Act E(Act ). ti ti ti Usually, in practice, marginal residuals are analysed in marginal models (Topic 10) rather than in models that include random effects.

The estimates of the fixed effects in model (1B), together with their corresponding standard errors, degrees of freedom, observed test statistics and p-values are presented in Table 7. Table : Estimates of fixed effects in model (1B) Fixed_effect Value 0 428.506 1 98.204 2 -190.762 3 -216.212 4 99.322 5 261.822

Std.Error DF t-value 19.096 20 22.440 38.598 20 2.544 14.682 20 -12.993 14.682 20 -14.726 20.764 20 4.783 20.764 20 12.610

p-value 0.000 0.019 0.000 0.000 0.000 0.000.

What is the marginal residual for the 1st rat (Rat = 1), when administered the Basal treatment and measured in the LS brain region? Round your final answer to 3 decimal places.

Question 5 Select one:

a. 36.721

b. -38.434

c. 23.744

d. -25.184