a. Develop the estimated regression equation to predict the repair time given the number of months since the last maintenance service, the type of repair, and the repairperson who performed the service. Assume that z =1 if the type of repair is electrical and z3 =1 if Dave Newton performed the service. Enter negative value as negative number. Time - by +b Months +b, Type + bPerson Round your answers to three decimal places. 1.736 3 .297 by 1.154 3 by -0.568 b. At the 0.05 level of significance, test whether the estimated regression equation developed in part (a) represents a significant relationship between the independent variables and the dependent variable. Compute F test statistic (to 2 decimals). 14.27 3 Use Table 4 from Appendix B to determine the p-value. The p-value is less than 0.01 What is your conclusion? The overall model is statistically significantvO c. Is the addition of the independent variable z3, the repairperson who performed the service, statistically significant? Use a = 0.05. Compute the t test statistic for the significance of Zs (to 2 decimals). Enter negative value as negative number. -1.27 3 Use Table 2 from Appendix 8 to determine the prvalue.
Optimization
Optimization comes from the same root as "optimal". "Optimal" means the highest. When you do the optimization process, that is when you are "making it best" to maximize everything and to achieve optimal results, a set of parameters is the base for the selection of the best element for a given system.
Integration
Integration means to sum the things. In mathematics, it is the branch of Calculus which is used to find the area under the curve. The operation subtraction is the inverse of addition, division is the inverse of multiplication. In the same way, integration and differentiation are inverse operators. Differential equations give a relation between a function and its derivative.
Application of Integration
In mathematics, the process of integration is used to compute complex area related problems. With the application of integration, solving area related problems, whether they are a curve, or a curve between lines, can be done easily.
Volume
In mathematics, we describe the term volume as a quantity that can express the total space that an object occupies at any point in time. Usually, volumes can only be calculated for 3-dimensional objects. By 3-dimensional or 3D objects, we mean objects that have length, breadth, and height (or depth).
Area
Area refers to the amount of space a figure encloses and the number of square units that cover a shape. It is two-dimensional and is measured in square units.
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