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QLDGeneral MathematicsQuick questions
Unit 3: Bivariate data, sequences and change, and Earth geometry
Quick questions on Least-squares regression and prediction (QCE General Mathematics Unit 3)
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 the least-squares regression line?Show answer
The least-squares line is the straight line that minimises the sum of the squared vertical distances (residuals) between the data points and the line. In General Mathematics you read its coefficients off CAS after entering the paired data. The line is written
What is prediction?Show answer
Substituting an value into the equation gives a prediction .
What is coefficient of determination as a fit measure?Show answer
The coefficient of determination is the proportion of the variation in the response variable explained by the linear model. A value close to means the line explains most of the variation; a value near means it explains little. Always quote as a percentage in context alongside the residual plot, because the two together tell you whether the model is trustworthy.
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