Interpreting and Predicting From a Linear Model (VCE SSCE General Mathematics): Quizzes

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Interpreting and Predicting From a Linear Model
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In y=a+bxy = a + bx, what does the slope bb represent?

Average change in yy per unit change in xx

In mark=30.8+1.62×time\text{mark} = 30.8 + 1.62 \times \text{time}, what does the intercept 30.8 mean?

Average mark when study time is 0 hours

Using mark=30.8+1.62×time\text{mark} = 30.8 + 1.62 \times \text{time}, predict the mark for 12 hours of study.

50%

What is interpolation?

Predictions within the data range

What is extrapolation?

Predictions outside the data range

Which type of prediction is generally reliable?

Interpolation

Data ranges from 1-36 hours. Is predicting for 30 hours interpolation or extrapolation?

Interpolation

Why is extrapolation risky?

Linear relationship may not continue

When interpreting slope, what must you include?

The word 'average', context, and units

Using weight=40+0.60×height\text{weight} = -40 + 0.60 \times \text{height}, predict weight at 65 cm (range: 163-190 cm).

-1 kg (extrapolation, unreliable)

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