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Rocket Experiments Narrative
An engineer was investigating the relationship between the thrust of an experimental rocket (y), the percent composition of a secret chemical in the fuel (x1), and the internal temperature of a chamber of the rocket (x2). The engineer starts by fitting a quadratic model, but he believes that the full quadratic model is too complex and can be reduced by including only the linear terms and the interaction term.
-Refer to Chemical Analysis Narrative. Use the statistical software output below to test whether the reduced model is adequate at the 0.05 level of significance.
Complete Model Regression Analysis
The regression equation is Analysis of Variance
Reduced Model Regression Analysis
The regression equation is Analysis of Variance
Grand Mean
The mean of means, calculated by taking the average of several group means.
Completely Randomized
A design in experiments where all subjects have an equal chance of being assigned to any group or treatment.
Factorial Design
An experimental strategy used to test the effect of two or more variables across multiple levels simultaneously.
Statistical Conclusions
Inferences or deductions made from statistical tests about the data or population parameters.
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