Question

4. The following is the output of linear regression analysis, which includes dummy variables and interactions. The following are the variables: Y = Birth weights of infants born in preterm in three hospitals (A, B and C) X = Gestation age in weeks flif infant was born in Hospital A 10 Otherwise s X2= flif infant was born in Hospital B 10 Otherwise Variable Coefficient Standard deviation 1 P (approximate) Constant -1.1361 4904 .07648 01523 .7433 .6388 X -.8239 .6298 X4=X, X.) -02772 .02039 03204 .01974 X5 (EX, X,) ANOVA Table Source SS d.f. MS V.R. Regression 3.03754 5 34.04325 Residual Total 3.64400 39 a) Write the estimated regression equation b) Calculate the test statistics for each coefficient and state their statistical significance c) Write the estimated equation for different levels of dummy variables. d) Conclude on the interaction effect. e) Complete the ANOVA table and estimate the R? f) Comment on the significance of the model.

Answer 1

Solestion : a) Estimated Regression Equation ; SST : SM+SSE je; 3.644.30 = 3.03754 (X;) + 0.60646 6) The Test statistic foo Coefficient from ANOVA Test statistic, FU, 38) JV = 2.446 ) C.V = 34.04 325 Ho: There is no significant differance in birth weights of infants Boon in Pretorm in 3. Hošp: fals. HA: There is significant difference in Birth weights of infants Born in Poetarm in 3 Hospitals. Interpretation : At 0.05 level of significance, 34.04325 > 2.4G, Hence we Reject Ho 3 we conclude That There is significant differance in Birth weights of infants Boon in poetarn in 3 Hospitals. اس کے بال CamScanner

1:40. Source 1 df. S.S. H.S.S. F(VR) 3.0374 (H) 0.6075 34.04325 Residual 0.6064(E) 0.0159 Potal 3.64400 (0) SSE R”. '- SSE A SSE SST 397 = -0.G0646 3.644400 = 0.8336 Since F. Value (34-04325) 70.05. is Significant we conclude That The Model at 0.05 level of significance. - THE END - Scanned with CamScanner