Reference no: EM131886862

Consider a SLR model: Yi = γ0 + γ1xi3 + εi. The fitted model was obtained and its SSE value was 121.6974. Now suppose that one says "Given that predictor x3 is in the model, the other predictors (x1 and x2) have no significant linear relationships with the response." Is this correct? Give your answer by conducting an appropriate test. Use α = 0.05 as the significance level. (2 pt) 

ANOVA given below:

SSE=t(e)%*%e # 111.1654

SST=sum((Y-mean(Y))^2) # 1014.857

SSR=SST-SSE # 903.6917

df1=4-1 # 3

df2=7-4 # 3

df3=7-1 # 6

MSR=SSR/df1 # 301.2306

MSE=SSE/df2 # 37.05514

F=MSR/MSE # 8.129