Choose a representation that best illustrates data in terms of context.
Compare the center and spread of data sets using statistical displays appropriate to the shape of the data distributions.
Interpret differences in shape, center, and spread in the context of data sets.
Draw a line of best fit through a scatter plot by hand and using technology.
Assess the fit of a function by calculating residuals.
Determine the equation of a line of best fit and interpret the meaning of slope and y-intercept in context.
Calculate and interpret the correlation of a line using r.
Understand that correlation does not imply causation.
Use the line of best fit to solve problems within the constraints of the data set.
Understand how data is organized in a two-way table.
Construct a two-way table and interpret the table to draw conclusions.
Calculate joint, marginal, and conditional relative frequencies.
New Jersey Student Learning Standards for this Unit:
S-ID.A.1: Represent data with plots on the real number line (dot plots, histograms, and box plots).
S-ID.A.2: Use statistics appropriate to the shape of the data distribution to compare center (median, mean) and spread (interquartile range, standard deviation) of two or more different data sets.
S-ID.A.3: Interpret differences in shape, center, and spread in the context of the data sets, accounting for possible effects of extreme data points (outliers).
S-ID.B.6b: Informally assess the fit of a function by plotting and analyzing residuals.
S-ID.B.6c: Fit a linear function for a scatter plot that suggests a linear association.
S-ID.C.7: Interpret the slope (rate of change) and the intercept (constant term) of a linear model in the context of the data.
S-ID.C.8: Compute (using technology) and interpret the correlation coefficient of a linear fit.
S-ID.C.9: Distinguish between correlation and causation.
S.ID.B.5: Summarize categorical data for two categories in two-way frequency tables. Interpret relative frequencies in the context of the data (including joint, marginal, and conditional relative frequencies). Recognize possible associations and trends in the data.