Jim Must Solve a Nonlinear Optimization Problem Where Point a Should

question 49

Essay

Jim must solve a nonlinear optimization problem where point A should be within a radius of 15 centimeters from each of the points B, C, D, E and F. The decision variables are defined as below.
X = horizontal coordinate of point A
Y = vertical coordinate of point A
The data on the distances is given below: $$\begin{array} { c | c | c } & \begin{array} { c } \text { Horizontal } \\\text { Coordinate }\end{array} & \begin{array} { c } \text { Vertical } \\\text { Coordinate }\end{array} \\\hline \text { B } & 9 & 11 \\\text { C } & 14 & 18 \\\text { D } & 18 & 22 \\\text { E } & 13 & 16 \\\text { F } & 17 & 21\end{array}$$ Formulate and solve a model that minimizes the maximum distance from point A to each of the points B, C, D, E, and F. Round all your answers to three decimal places.

Understand the importance and interpretation of R Square in regression analysis.

Identify characteristics and calculations of standard residuals in regression models.

Comprehend the basics of simple linear regression and the interpretation of regression statistics.

Recognize the implications of Durbin-Watson statistic values and autocorrelation in data.

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