The Application of the Multi-Dimensional Cartesian Space in the Graphic Analysis of the U.S. Gross Domestic Product (GDP)

In MD-Cartesian space (see Ruiz, 2005) consists of five axes ([X1, X2, X3, X4], Y), representing four independent variables quot;X1quot;, quot;X2quot;, quot;X3quot; and quot;X4quot; and one dependent variable quot;Yquot; respectively. Each quot;Xquot; variable (X1, X2, X3, X4) and quot;Yquot; variable has its individual axis that is a vertical line with both positive and negative values. The positive and negative values are represented by ([(X1,-X1), (X2,-X2), (X3,-X3) (X4,-X4)], (Y,-Y)] on the MD-Cartesian plane (see Table 1). In the case of 2-D and 3-D Cartesian plane (see Figure 1), the individual variables can be anywhere along the vertical and horizontal axes; but in the case of MD-Cartesian space all variables (Xi) and the quot;Yquot; variable are either on the positive side of respective axes together on the negative side of their respective axes together. In other words, the values of all quot;Xiquot; (X1, X2, X3, X4) and quot;Yquot; can change in different directions. Therefore, any change in some or all quot;Xiquot; will affect quot;Yquot; directly. Representing the dependent variable, the fifth axis, quot;Yquot; is positioned in the center of the Graph (among the other four axes). quot;Yquot; has a positive value and negative value. It is the convergent point of all the other four axes X1, X2, X3 and X4. In other words, all quot;Xiquot; axes converge at the quot;Yquot; axis. The result is a graph represented by a plane that can be reshaped into two cubes or one cube