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Learning Goal

‹2 of 4 in this skill_area›

Interpreting regression slope and intercept in context

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Lesson Plan · Guided Notes · Exit Ticket · Re-teach · Homework

"Given a relationship between two quantities, read and interpret graphs modeling the relationship." "Analyze and interpret data represented in a scatterplot to make predictions." "Fit linear models to data represented in a scatterplot." "Analyze and interpret data represented in a scatterplot, but do not make predictions." "Analyze and interpret data represented in a scatterplot to make predictions." "Fit linear models to data represented in a scatterplot." "Fit quadratic and exponential models to data represented in a scatterplot." "Given a relationship between two quantities, read and interpret graphs modeling the relationship." "Compare linear and exponential growth."

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"Given a relationship between two quantities, read and interpret graphs modeling the relationship."
"Analyze and interpret data represented in a scatterplot to make predictions."
"Fit linear models to data represented in a scatterplot."
"Analyze and interpret data represented in a scatterplot, but do not make predictions."
"Analyze and interpret data represented in a scatterplot to make predictions."
"Fit linear models to data represented in a scatterplot."
"Fit quadratic and exponential models to data represented in a scatterplot."
"Given a relationship between two quantities, read and interpret graphs modeling the relationship."
"Compare linear and exponential growth."

What you'll learn

  1. Interpret the slope and intercept of a line of best fit in context as the model's predictions for the trend (the slope as a predicted change in the response per one-unit change in the predictor, with units derived by division; the intercept as the predicted value when the predictor is zero), worded as an estimate rather than as a fact about each case
  2. Decide from the data's range whether an intercept has a meaningful interpretation in context
  3. Compare a predicted value to an actual value for one case, and state whether the model over- or under-predicted it
  4. Distinguish a correct interpretation of a fitted coefficient from its common misreadings, including a causal claim made from a fitted relationship

Slides

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