Te reo Māori terms
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Learning objective overview
Master Teaching Guide coverage for this objective.
Current NZC (2007)
S5-1
New NZC (2026)
NZC26-P4-STA-VIS-P-Y10-01NZC26-P4-STA-INT-P-Y10-03
Resources
- CorbettMaths on the equation of a line (forming the linear model)Questions PDF · Answers
Terminology
- Linear model
- Equation of the line of best fit
- Gradient
- y-intercept
- Interpolation
- Extrapolation
- Confidence (in a prediction)
Task goals
- Substitute a given x-value into the equation of a line of best fit (y = mx + c) to predict the corresponding y-value.
- State the gradient and y-intercept of a line of best fit from its equation, or write the equation given the gradient and y-intercept.
- Find the gradient of a line of best fit from two points on it, and use a known y-intercept (or one of the points) to write its equation.
- Distinguish interpolation (predicting within the range of the original data) from extrapolation (predicting beyond it).
- Explain why an extrapolated prediction is generally less reliable than an interpolated one.
- Explain how the strength of a correlation (how closely points cluster around the line) and the sample size affect confidence in a prediction.
- Work backwards from a known y-value to find the corresponding x-value using the equation of the line of best fit.
Where this fits
What leads into this objective, and where it goes next.
Before
Comparing box-and-whisker graphs - CSSI
Comparing Data Sets with Box Plots and Measures of Spread
Making an Inference from Sample Data
You are here
Linear model for scatter plots
Do
For relationship investigations, drawing an eyeballed line or curve of best fit to predict possible y-values (the response variable) for given x-values (the explanatory variable)
Statement▸
Year 10 · Statistics · Visualisation of data
NZC26-P4-STA-VIS-P-Y10-01
Do
Making informal predictions from scatter plots in relationship situations
Statement▸
Year 10 · Statistics · Interpretation of data
NZC26-P4-STA-INT-P-Y10-03
Next
Year 10 is the last year of this phase — the curriculum lists nothing after this. No extension resources on the site yet.
Also under S5-1:
For teachers
Need the fuller teaching notes for this objective? Open the Teacher guidance PDF.