Instructions: Complete the following on a separate sheet of paper.

The XYZ Data Corporation has assigned three perspective new apprentices to collect data on the corporation’s current computer processing demands to determine which apprentice should be hired. The corporation knows that its data usage is modeled by a linear function, since each new client added has approximately the same computer processing requirement. Your supervisor at XYZ has assigned you the task of reviewing the data collected by the three apprentices to determine which apprentice collected the data accurately. Additionally, you are to use the correct data to forecast at what client level the model will reach XYZ’s current maximum 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 to convert the relevant information into various mathematical forms (e.g., equations, graphs, diagrams, tables, words) to model the linear data. In other words, be sure to show how you would “visually” convince your supervisor at the XYZ Data Corporation which apprentice had accurately collected the date. Discuss the differences in the rates of change for each data set and how this can be utilized to determine linear data. Discuss how you made judgments and drew appropriate conclusions based on the analysis of observable facts, while at the same time recognizing the limits of this analysis. Be sure to note important assumptions you made in the estimation, modeling, and data analysis.

Your response should identify the calculations needed, explain how you organized the appropriate data, and show the performed calculations, so your discussion is compelling and memorable (precisely stated, appropriately visualized, and logical conclusions strongly supported). Be sure to use grammatically correct sentence structure, and your narrative should clearly exhibit the relationship between your visual communications and your 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