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NSWMaths Standard 2Year 12: Statistical Analysis

Quick questions on The least-squares regression line for HSC Maths Standard 2

3short Q&A pairs drawn directly from our worked dot-point answer. For full context and worked exam questions, read the parent dot-point page.

What is interpreting the gradient?
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The gradient mm has units of (y units) per (x unit). For every 11-unit increase in xx, the model says yy changes by mm units on average.
What is interpreting the yy-intercept?
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The intercept bb is the predicted yy value when x=0x = 0. In context this is sometimes meaningful (a base salary at zero years of experience, say) and sometimes pure extrapolation (predicted food spending at zero income, which no real household has).
What are wrong units?
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The gradient has units of (y units) per (x unit). Include them explicitly.

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