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Learning Goal

‹3 of 4 in this cluster›

Use the equation of a linear model to solve problems in the context of bivariate measurement data

Start lessonBegins with Equation slope intercept · Slides

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8.SP.A.3

**8.SP.A.3**: Use the equation of a linear model to solve problems in the context of bivariate measurement data, interpreting the slope and intercept. *For example, in a model for a biology experiment, interpret a slope of 1.5 cm/hr as meaning that an additional hour of sunlight each day is associated with an additional 1.5 cm in mature plant height.*

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8.SP.A.3: Use the equation of a linear model to solve problems in the context of bivariate measurement data, interpreting the slope and intercept. For example, in a model for a biology experiment, interpret a slope of 1.5 cm/hr as meaning that an additional hour of sunlight each day is associated with an additional 1.5 cm in mature plant height.

What you'll learn

  1. Write the equation y = mx + b for an informally fitted line on a scatter plot by identifying the slope and y-intercept from the graph or data
  2. Interpret the slope of a linear model in context, using the language "for each additional unit increase in [x], [y] is associated with a change of [m] units"
  3. Interpret the y-intercept of a linear model in context and evaluate whether the intercept has a meaningful real-world interpretation for the given data
  4. Use the equation of a linear model to make predictions by substituting values of the explanatory variable, distinguishing between interpolation (within the data range) and extrapolation (beyond the data range)
  5. Recognize the limitations of a linear model, including that predictions from extrapolation may be unreliable and that association does not imply causation

Slides

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1

Equation slope intercept

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2

Complete analysis

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Practice

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3

Drill

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4

Exercise

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