IB Maths AI HL AI 2.2 practice question

Paper 2Easy5 marks

A technician records the water depth $h$ in a tank as it is filled. The measurements, recorded to the nearest $0.1\text{ cm}$ are shown in Figure 1.

(a)

State a suitable type of model for the relationship between $h$ and $t$ based on the pattern of the data.

[1]

(b)

Use linear regression on the data in Figure 1 to determine a model in the form $h=at+b$ Give $a$ and $b$ to three significant figures.

[2]

(c)(i)

Use your model to estimate the water depth after $5$ minutes. Give your answer to three significant figures.

[1]

(c)(ii)

State whether this estimate is an interpolation or an extrapolation, and give a reason why using the model for this estimate is appropriate.

[1]