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6.04 Making predictions

Interactive practice questions

A prediction for the $y$y-value when $x=33$x=33 is made from the data set below.

Is the prediction an extrapolation or an interpolation?

$x$x $37$37 $54$54 $58$58 $59$59 $43$43 $55$55 $60$60 $38$38 $64$64 $35$35
$y$y $72$72 $53$53 $26$26 $21$21 $73$73 $47$47 $12$12 $102$102 $10$10 $112$112

Extrapolation

A

Interpolation

B
Medium
< 1min

A prediction for the $y$y-value when $x=5$x=5 is made from the data set below.

Is the prediction an extrapolation or an interpolation?

Medium
< 1min

A prediction of $y=72.77$y=72.77 is made from the data set using the line of best fit $y=1.26x-57.01$y=1.26x57.01.

Is the prediction an extrapolation or an interpolation?

Hard
< 1min

A prediction of $y=95.69$y=95.69 is made from the data set using the line of best fit $y=-0.071x+96.19$y=0.071x+96.19.

Is the prediction an extrapolation or an interpolation?

Medium
< 1min
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Outcomes

3.4.16

interpret relationships in terms of the variables, for example, describe trend as increasing or decreasing

3.4.17

use the trend line to make predictions, both by interpolation and extrapolation

3.4.18

recognise the dangers of extrapolation

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