Bivariate Data, SM-Bank 005

Each member of a group of males had his height and foot length measured and recorded. The results were graphed and a line of fit drawn.

Why does the value of the `y`-intercept have no meaning in this situation? (1 mark)

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George is 10 cm taller than his brother Harry. Use the line of fit to estimate the difference in their foot lengths. (1 mark)

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Show Answers Only

`text(The y-intercept occurs when)\ x = 0.\ text(It has`
`text(no meaning to have a height of 0 cm.)`
`text(A 10 cm height difference means George should)`
`text(have a 3 cm longer foot.)`

Show Worked Solution

i. `text(The y-intercept occurs when)\ x = 0.\ text(It has)`

`text(no meaning to have a height of 0 cm.)`

ii. `text(A 20 cm height difference results in a foot length)`

`text(difference of 6 cm.)`

`:.\ text(A 10 cm height difference means George should)`

`text(have a 3 cm longer foot.)`