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Write a Clear Modeling Report with Assumptions and Limitations
Worksheet
Grade Level
Pre-Calculus
Pre-CAL.180 Write a Clear Modeling Report with Assumptions and Limitations
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Which statement would best belong in a modeling report for this situation?
A
Using the model, at x = 4 seconds the predicted value is y = -36.91 meters, and this estimate can be reported without checking assumptions, data range, or possible sources of variation. The report treats the equation as a complete justification, so no additional assumption or limitation needs to be stated.
B
Assuming other factors are roughly constant and the model form remains appropriate for values of x in the sample, Because the x² coefficient is negative, the parabola has a maximum; the turning point is near x = 1.05 seconds with y ≈ 7.7 meters. For x = 4 seconds, the model predicts y ≈ -34.91 meters. A limitation is that a quadratic fit can match the data in a window but may give unrealistic values if extended too far.
C
Because R² = 0.86, the model is 86% accurate, so time after launch definitely causes height and the equation can be used without checking limits on x or the data collection conditions. The report treats the equation as a complete justification, so no additional assumption or limitation needs to be stated.
D
The x² term means y changes at a constant rate of 10.3 meters per second. This statement treats the model form as enough and does not add a data-range limitation. The report treats the equation as a complete justification, so no additional assumption or limitation needs to be stated.
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