Learning Goal
Making predictions from data and models
Teacher tools for this standard
Lesson Plan · Guided Notes · Exit Ticket · Re-teach · Homework
Teacher tools for this standard
Lesson Plan · Guided Notes · Exit Ticket · Re-teach · Homework
- Lesson Plan →Objectives, pacing and practice, built from this lesson's brief.
- Guided Notes →One page your students fill in and keep.
- Exit Ticket →Three items at the end of class. No student accounts.
- Re-teach →After an exit ticket: who missed what, and what to do tomorrow.
- Homework →Assign practice; it grades itself.
S 506. Recognize that when a statistical model is used, model values typically differ from actual values
S 705. Recognize that part of the power of statistical modeling comes from looking at regularity in the differences between actual values and model values
F 504. Attend to the difference between a function modeling a situation and the reality of the situation
F 701. Compare actual values and the values of a modeling function to judge model fit and compare models
S 505. Recognize that when data summaries are reported in the real world, results are often rounded and must be interpreted as having appropriate precision
S 502. Manipulate data from tables and charts
S 602. Interpret and use information from tables and charts, including two-way frequency tables
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S 506. Recognize that when a statistical model is used, model values typically differ from actual values
S 705. Recognize that part of the power of statistical modeling comes from looking at regularity in the differences between actual values and model values
F 504. Attend to the difference between a function modeling a situation and the reality of the situation
F 701. Compare actual values and the values of a modeling function to judge model fit and compare models
S 505. Recognize that when data summaries are reported in the real world, results are often rounded and must be interpreted as having appropriate precision
S 502. Manipulate data from tables and charts
S 602. Interpret and use information from tables and charts, including two-way frequency tables
What you'll learn
- Make a prediction from a given linear model and judge whether it can be trusted and how precisely to report it
- Predict in both directions — given $x$ find $y$, and given $y$ find $x$ — by substituting into the model and by tracing the trend line
- Interpret the slope of a model as a rate of change **in the data's own units**, and the intercept as a starting value when $x = 0$ lies near the data
- Compute the residual, actual minus predicted, and interpret its sign
- Distinguish interpolation from extrapolation, and identify where a model stops making sense in context
- Report a prediction at a precision the data supports
Slides
Step through the lesson, or watch it as a narrated video
Slides
In development
Not yet available • Check back soon!