A student investigates the relationship between the luminosity of a star and its mass. The student obtains data of relative luminosity $$\(\lambda\)$$ and relative mass $$\(\mu\)$$ for six stars, where $$\[ \lambda=\frac{\text { luminosity of star }}{\text { luminosity of Sun }} \]$$ and $$\[ \mu=\frac{\text { mass of star }}{\text { mass of Sun }} \]$$ It is suggested that $$\(\lambda\)$$ and $$\(\mu\)$$ are related by the equation $$\[ \lambda=k \mu^{n} \]$$ where $$\(k\)$$ and $$\(n\)$$ are constants. （c）（i）Plot a graph of $$\(\lg \lambda\)$$ against $$\(\lg \mu\)$$ ． Include error bars for $$\(\lg \mu\)$$ ． ［2］ （ii）Draw the straight line of best fit and a worst acceptable straight line on your graph．Label both lines． ［2］ （iii）Determine the gradient of the line of best fit．Include the absolute uncertainty in your answer． gradient＝ ..................................................... ［2］ (iv) Determine the $$\(y\)$$-intercept of the line of best fit. Include the absolute uncertainty in your answer. $$\[ y \text {-intercept = } \]$$ .....................................................

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