detail step

5. Five observations of a response variable Y, a treatment F and a covariate X are given as follows. -m .9 It is given that 1-1 129 -75 -271 in m 2 -75 L-27 (a) Use level 2 of F as the reference level. State the regression model equivalent to an ANCOVA 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. (c) Construct a 90% confidence interval for each of the parameters. (d) Fit the reduced regression models and test for treatment effects; use a = 0.05. State the hypotheses, decision rule and conclusion. (e) Construct a 95% confidence interval for the mean of the average of 3 sets of values given as follows. X N .5