Consider the following data for a dependent variable y and two independent variables,  x1  and  x2. x1 x2 y 30 12 94 47 10 108 25 17 112 51 16 178 40 5 94 51 19 175 74 7 170 36 12 117 59 13 142 76 16 211 (a) Develop an estimated regression equation relating y to  x1.  (Round your numerical values to one decimal place.) ŷ =        Predict y if  x1 = 51.  (Round your answer to one decimal place.)   (b) Develop an estimated regression equation relating y to  x2.  (Round your numerical values to one decimal place.) ŷ =        Predict y if  x2 = 19.  (Round your answer to one decimal place.)   (c) Develop an estimated regression equation relating y to  x1 and x2.  (Round your numerical values to one decimal place.) ŷ =        Predict y if  x1 = 51  and  x2 = 19.  (Round your answer to one decimal place.)

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Optimization Models

Optimization models are mathematical models that help organizations determine the best way to allocate scarce resources to achieve specific objectives. These models can be used to solve a wide variety of problems, from finding the most efficient route for a delivery truck to determining the optimal mix of products to stock in a store.