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Year 11 Maths - General Investigating Relationships Between Two Numerical Variables

Interpreting The Slope and The Intercept of a Regression Line

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Questions
Question 1
30383

When a persons height is between 155 cm and 185 cm, the equation relating weight (kg) to height (cm) is given as \(weight=0.70 \times height-65\). 

What is the interpretation of the slope in context with the variables of the equation?

\(slope =  0.7~\text{kg/cm}\)

For every rise of \(1 \mathrm{~cm}\) in height there is a gain of \(0.7 \mathrm{~kg}\), slope \(=0.70 \mathrm{~kg} / \mathrm{cm}\).

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