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1. The followirig table shows Canada's population growth from 1871 to 2001.

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a) Describe the trend tri the data.

'Y')(Araak%t,.b) Use quadratic regression to determine the equation of the curve of best fit for the data.

3z l-r 'f X2 'ti"'i&ly +3to(113"'%c) Use quadratic regressisn to estimate the population of Canada in 2006, to the nearestthousand.

'x :/3S' 6:. gl'l 30ooo i@(2opled) l f the p'opulation of Canada continues to Brow according to this trend, what will thepopulation be tri 2020, .to the nearest thousarid?

X= itia, A4@.;r6oor(-i ,71,2. Arnold hit a golf ball from t=he top of a hill. The height of the ball above the green is given inthe table.

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a) Describe,the trend in the data.

40a(t(a'rc-b) Use quadratic regression to determine the equation of the curve of best fit for the data.

3a- '1.51 ya 4 qg.sl,, +ilc) Use the equation to deterrriirie the height of the ball af'ter 2.0 s.

S"j.io() ' ?d) When did the ball hit the ground, ta'the nearest tenth of a secend?

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s. A spherical balloom is being inflated. The tnble shows the volume of the balloon at differenttimes.

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6. Cierra, an architect, is. designing a suspension bridge. There will be a suspensiori cable aneach side of the bridge, with support wire hanging down from the cable at different distarices,as shown.

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Dist?nzfmmCentre-ofBridge(m) 10 20 30 40 50 60Lengtti.ofSupp6rtWire(m) - 556 712 968 1324 1780 2336

a) What is the quadratic regression function that models this data?l

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