(b) Regardless of your conclusion in (a), consider the following Minitab outputs
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Question
(b) Regardless of your conclusion in (a), consider the following Minitab outputs Predictor Constant Coef SE Coef 0.205 2.573 3.185 0.06 0.949 1.508 1.71 0.101 0.3116 0.3126 1.00 0.329 0.0904 0.1628-0.56 0.584 0.07606 0.01994 -3.81 0.001 0.33876 0.06564 -5.16 0.000 x12 x22 x1x2 S 2.81384 R-Sq 83.6% R-Sq ( adj) 80.2% = - Analysis of Variance DF Source Regression Residual Error 24 190.03 7.92 Total MS 5 969.55 193.91 24.49 0.000 29 1159.58 i. Write down the estimated model. (5) ii. Test the overall utility of the model at 0.1. Clearly state the hypotheses for this test. (10)Explanation / Answer
From the Minitab output:
i) The estimated model will be:
y = 0.205 + 2.573 x1 + 0.3116 x2 - 0.0904 x12 - 0.07606 x22 - 0.33876 x1x2
ii) Hypotheses:
Ho: The model is not useful for prediction of y.
Ha: The model is useful for prediction of y.
Here,
p - value = 0.000 which is less than 0.1 and hence, we reject the null hypothesis.
Therefore,
There is sufficient evidence to conclude that the model is useful in the prediction of dependent variable.
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