4. (3 points) Data has been collected regarding 88 different computer simulations conducted in designing the layout for a chemical warehouse. The dependent (Y) variable is CPU time (the operating time required by the computer's central processing unit to run the simulation), the first independent variable (X) is the number of trials in the simulation, and the second independent variable (X2) is the number of statements in the computer program. Since it is hypothesized that the effect of the number of statements (X) on CPU time (Y) is curvilinear, the model being considered is: Y = Bo + BX1 + BX2 + B3X2/12 + Full Model It is desired that we test whether the number-of-statements variables (X and X2) can be dropped from the model. Perform this test. Use a = 0.10. Note: This should be done as a single test, not two separate tests. The partial sum of squares table for the above regression is Component df 1 X1 X|X X|X1, X Residuals SS 15,644.2 118.5 1 587.4 84 6574.6 (a) State the hypotheses being tested (that is, write out Ho and H). (b) Perform an F test to determine whether the number-of-statements variables (X and X2) can be dropped from the model. Your response should include the formula for the test statistic, the value of the test statistic, and the p-value. (c) At a = 0.05, what is the conclusion of your test? Do you prefer the full model given above or the smaller model: Y = Bo + BX1 + ?