Evidence of Understanding

**construct and interpret representations for bivariate data**- construct two way frequency tables and summarize data for each category
- identify and interpret
**joint**,**marginal**and**conditional relative frequencies** - interpret relative frequencies in context and describe possible trends

- identify and interpret
- 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

- explain the relationship between variables for the graph of a
- 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

- construct two way frequency tables and summarize data for each category

**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**

- quantitatively measure the strength of the linear relationship by computing and interpreting the
- 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

- explore what the

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