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Data Collection Model Evaluation
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Data Collection Model Evaluation
📊 Part 1: Model Identification
1. Which type of mathematical model shows a constant rate of change?
Linear model
Quadratic model
Exponential model
None of the above
2. A data set shows constant second differences. This suggests which model type?
Linear
Quadratic
Exponential
Cannot determine
3. Which characteristics help identify an exponential model? (Select all that apply)
Constant ratio between consecutive y-values
Curved graph that increases rapidly
Straight line graph
Data doubles or halves at regular intervals
4. When evaluating model appropriateness, which factors should you consider? (Select all that apply)
How well the model fits the data points
Simplicity of the model
Relevance to the real-world context
Colour of the graph line
✏️ Part 2: Data Analysis and Evaluation
5. You have collected temperature data over 24 hours. The temperature starts at 15°C, rises to 28°C at midday, then falls back to 16°C by midnight. Which model would best represent this data?
6. Explain why you chose this model type for the temperature data:
7. A mobile phone plan costs $25 per month plus $0.50 for each text message sent. Write the equation that models the total monthly cost and identify the model type:
Equation: C = _____________
Model type: _____________
8. You're using a spreadsheet to analyse your data. List three features of digital tools that help with model evaluation:
🎯 Part 3: Communication and Reflection
9. When presenting your model evaluation to others, what key information should you include?
The type of model chosen
Reasons for choosing this model
Visual representation of the data
Your favourite colour
Limitations of the model
10. Reflect on your learning: What is one challenge you faced when evaluating mathematical models, and how did you overcome it?
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