Question

1. Some minitab outputs for the regression of gpa on high school and sat scores are given below. gpa-0.279+ 0.144 hsm 0.0383 hss 0.0510 hse 0.00100 satm -0.000411 satv+ 0.032 sex Predictor Coef Constant 0.2786 hsm hss hse satm satv sex 0.64 0.521 3.62 0.000 0.99 0.324 1.21 0.229 0.0010033 0.0007173 1.40 0.163 -0.0004109 0.0005932 -0.69 0.489 0.29 0.772 St Dev 0.4337 0.03979 0.03874 0.04228 0.14423 0.03827 0.05103 0.0324 0.1115 Analysis of Variance Source Regression Residual Error 217 106.7777 0.4921 Total DF SS MS 28.6851 4.7809 9.72 0.000 223 135.4628 Source DF Seq Ss hsm hss hse satm 1 0.6987 satv 1 0.2327 sex 1 25.8099 1 1.2371 1 0.6654 1 0.0415 Test Ho: only hsm is needed in the model. Include the following steps in your answer. (a) Ho (in terms of Bs): (b) Ha (c) Complete (full) model (d) Reduced model (e) F-value (f) Conclusion

Answer 1

c) CompleJe model d) Pecducet model-1 - Value ) concludion ob hsm) 0.0000 uð h/ch ,.s less than 0.05