8 Components
Big Ideas
Formative Assessment Lesson
End of Unit Assessments
Browse Components
Big Ideas
Formative Assessment Lesson
End of Unit Assessments
Big Idea:

### Visual models illustrate the correlation of bivariate data.

1 week

Evidence of Understanding

• construct and interpret representations for bivariate data
• construct two way frequency tables and summarize data for each category
• identify and interpret jointmarginal and conditional relative frequencies
• interpret relative frequencies in context and describe possible trends
• analyze and describe the correlation between data points in a set
• explain the relationship between variables for the graph of a scatter plot
• justify a function family that best models the data set
• differentiate correlation and causation
• interpret a single data point and explain its relationship to the data set
• identify an outlier in the data set and justify reasoning
• create a scatter plot and justify the correlation between data points in a set

• interpret and compare data points of a scatterplot using the line of best fit
• explore what the line of best fit represents for a scatter plot
• predict and justify other possible data points using the line of best fit
• interpolate or extrapolate and describe possible problems for each estimation method
• draw the line of best fit for a data set using a variety of methods and  justify each approach
• Example:  equal number of data points on each side of the line, informally “measure” the distance of points from the line, line passes through the most points in the set, etc.
• create and justify a linear function rule that best models a data set
• quantitatively measure the strength of the linear relationship by computing and interpreting the correlation coefficient
• analyze residual patterns to justify if the line of best fit ideally fits the data set
• calculate the difference between actual and predicted data points
• create a residual plot and use this to assess the line of best fit

Develop conceptual understanding:

bivariate, joint frequency, marginal frequency, conditional relative frequency, scatter plot, line of best fit, correlation, correlation coefficient, causation, residual, residual plot

Supporting terms to communicate:

statistics, data point, data set, interpolate, extrapolate, density, random, sample, categorized, summarized, range, outlier, distribution, independent, dependent, domain, range

Core Resource
A core resource supports multiple days of instruction. COMING SOON!
Instructional Routine: Contemplate then Calculate
These tasks are embedded within the instructional routine called Contemplate then Calculate.
• Scattered Lines
Chunk a scatter plot to connect the representation to what students know about lines.
Resource:
Scattered Lines

Chunk a scatter plot to connect the representation to what students know about lines.

All Resources From:
• Unit 7