4. Seven observations of a response variable X and a treatment F are given as follows. X -1.3 -1.1 -0.2 -1.0 -0.9 2.9 27 (a) Use level 3 of F as the reference level. State the regression model equivalent to an ANOVA model. Also state the reduced regression model for testing for treatment effects. (b) Fit the full regression model and report the least squares estimates of the regression coefficients. It is given that 7 23T 4[3 -3 -3 IZ 2 0] =[3 6 3] 3 0 3 8 -3 3 5 (c) Fit the reduced regression models and test for treatment effects; use & = 0.01. Report the ANOVA table. State the hypotheses, decision rule and conclusion. (d) Express mean X for each level of F in terms of the parameters in (a). (e) Express the pairwise comparisons of mean X for the 3 levels of F in terms of the parameters in (a). Thus, make all pairwise comparisons between the treatment effects; use a 95% confidence level. Thus, comment of the comparisons of the treatment effects