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Line Bestfit

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Line Bestfit


1. **Problem statement:** Ben has plotted a scatter graph of rugby players' heights (cm) vs weights (kg) and drawn a line of best fit. We need to (a) draw the line of best fit and (b) identify what is missing on the Height axis. 2. **Line of best fit:** The line passes approximately through points (175, 88) and (190, 103). 3. **Calculate the slope $m$ of the line:** $$m = \frac{103 - 88}{190 - 175} = \frac{15}{15} = 1$$ 4. **Calculate the equation of the line:** Using point-slope form with point (175, 88), $$y - 88 = 1(x - 175)$$ $$y = x - 175 + 88 = x - 87$$ 5. **Interpretation:** The line of best fit is approximately $$y = x - 87$$ where $y$ is weight (kg) and $x$ is height (cm). 6. **What is missing on the Height axis?** The axis label should include the unit "cm" to clarify the measurement units. **Final answers:** - (a) The line of best fit is $y = x - 87$. - (b) The Height axis is missing the unit label "cm".