The XYZ Data Corporation has assigned three perspective newapprentices to collect data on the corporation’s current computerprocessing demands to determine which apprentice should be hired.The corporation knows that its data usage is modeled by a linearfunction, since each new client added has approximately the samecomputer processing requirement. Your supervisor at XYZ hasassigned you the task of reviewing the data collected by the threeapprentices to determine which apprentice collected the dataaccurately. Additionally, you are to use the correct data toforecast at what client level the model will reach XYZ’s currentmaximum computing capacity of 50 terabytes.

Explain mathematically, how you determined the correct data set,and why each of the other data sets are not linear. Be sure toconvert the relevant information into various mathematical forms(e.g., equations, graphs, diagrams, tables, words) to model thelinear data. In other words, be sure to show how you would“visually” convince your supervisor at the XYZ Data Corporationwhich apprentice had accurately collected the date. Discuss thedifferences in the rates of change for each data set and how thiscan be utilized to determine linear data. Discuss how you madejudgments and drew appropriate conclusions based on the analysis ofobservable facts, while at the same time recognizing the limits ofthis analysis. Be sure to note important assumptions you made inthe estimation, modeling, and data analysis.

Your response should identify the calculations needed, explainhow you organized the appropriate data, and show the performedcalculations, so your discussion is compelling and memorable(precisely stated, appropriately visualized, and logicalconclusions strongly supported). Be sure to use grammaticallycorrect sentence structure, and your narrative should clearlyexhibit the relationship between your visual communications andyour narrative conclusions.

FRANK’S DATA

x                         0                         1                          2                          3                        4                            5

y = f(x)               10                       11.5                    13.25                  15.2                    17.5                             20.2

GABBY’S DATA

x                          0                         1                         2                          3                          4                             5

y = g(x)               10                       11.15                  12.3                    13.45                  14.6                             15.75

HYATT’S DATA

x                         0                          1                          2                         3                          4                             5

y = h(x)              10                       14.0                    17.9                   19.9                    21.5                             22.9