4. Modeling and statistics: Students will develop and apply basic concepts of modeling and statistics to investigate and describe situations and solve problems.

Students will:
A. Use basic concepts of measurement and data.
For example: Students will determine the precision and accuracy of basic measurements.Students will identify a statistical measure as being nominal, ordinal, or interval.

B. Understand theoretical relationships and modeled relationships.
For example: Students will identify a given relationship as being theoretical (not an approximation based on data) or modeled (approximation based on data).Students will understand the predictive validity and reliability of the two relationships.Students will identify the parameters and the variables in a given model, and appropriate replacement sets.

C. Use technology to generate basic models given appropriate data (linear, exponential, and power models as a minimum).
For example: Students will separate correlation and causation in the use of models.Students will generate regression models for data and identify the one that is most appropriate based on the data and the correlation.Students will use modeled relationships to make predictions for a given input or output, and use this to solve problems in context.

Modeling and statistics: Students will develop and apply basic concepts of modeling and statistics to investigate and describe situations and solve problems.Students will:

A.

Use basic concepts of measurement and data.For example: Students will determine the precision and accuracy of basic measurements.Students will identify a statistical measure as being nominal, ordinal, or interval.

B.

Understand theoretical relationships and modeled relationships.For example: Students will identify a given relationship as being theoretical (not an approximation based on data) or modeled (approximation based on data).Students will understand the predictive validity and reliability of the two relationships.Students will identify the parameters and the variables in a given model, and appropriate replacement sets.

C.

Use technology to generate basic models given appropriate data (linear, exponential, and power models as a minimum).For example: Students will separate correlation and causation in the use of models.Students will generate regression models for data and identify the one that is most appropriate based on the data and the correlation.Students will use modeled relationships to make predictions for a given input or output, and use this to solve problems in context.