LWB Level 1 Bivariate Data 1.11 Learning Workbook

The LWB NCEA Level 1 Bivariate Data 1.11 Learning Workbook is a targeted, write-on resource designed to lead Year 11 students through the Statistical Enquiry Cycle for Achievement Standard 91036 (1.11). This workbook focuses on investigating the relationship between two numerical variables, teaching students how to identify patterns, evaluate the strength of correlations, and make evidence-based predictions.

Key Features

• The PPDAC Framework: Provides a structured approach to the investigation process: Problem, Plan, Data, Analysis, and Conclusion, ensuring students meet all the required criteria for a complete statistical report.

• Constructing Scatter Plots: Step-by-step instructions on how to plot bivariate data correctly, ensuring students understand which variable belongs on the horizontal (independent) axis and the vertical (dependent) axis.

• Identifying Relationships: Teaches students how to describe the nature of a relationship using the three essential descriptors: Direction (positive or negative), Form (linear or non-linear), and Strength (strong, moderate, or weak).

• The Line of Best Fit (Trend Line): Practical exercises on drawing and using trend lines to represent the overall relationship in the data. Students learn how to find the equation of the line to assist with making predictions.

• Making Predictions (Interpolation vs. Extrapolation): Detailed modules on using the trend line to predict values. It emphasizes the importance of "interpolation" (predicting within the data range) and the risks associated with "extrapolation" (predicting outside the range).

• Identifying Outliers: Guides students on how to spot data points that don't fit the overall pattern and how to discuss the potential reasons for these "unusual" values in their final report.

• Causation vs. Correlation: A critical thinking component that teaches students that just because two variables are related (correlation), it does not necessarily mean that one causes the other (causation).

• Using NZGrapher & Digital Tools: Features tutorials for generating bivariate graphs and summary statistics using common classroom software, reflecting modern statistical practice.

• Internal Assessment Scaffolding: Includes a "practice run" assessment with a realistic dataset, providing the templates and checklists needed to produce an Excellence-level report.

• Glossary of Bivariate Terms: A comprehensive guide to essential vocabulary—such as Correlation, Bivariate, Variable, Gradient, and Relationship—to ensure students communicate their findings with mathematical precision.