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Choosing and Checking a Model

Recalculate a resampled greenhouse mean

BOTIE

Gather the supplied positions from the original readings, including repeats, then calculate their mean.
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Use a copy of the example to try your own data. Keep the problem's assumptions in mind, and predict the effect of a change before checking the output. You can also add another branch to compare two ways of doing the calculation.

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Context for this challenge

Gather the supplied positions from the original readings, including repeats, then calculate their mean.

Botie has kept the positions selected in a bootstrap draw. Repeated positions must count as repeated observations when recalculating the greenhouse mean.

Use the recorded indices to retrieve readings, preserving repeats, then average the retrieved values.

Examples and results
Original observations
  1. 010
  2. 120
  3. 230
Recorded bootstrap indices
  1. 00
  2. 10
  3. 22
Required result
16.6667
Original observations
  1. 010
  2. 120
  3. 230
Recorded bootstrap indices
  1. 00
  2. 12
  3. 22
Required result
23.3333
Try a fresh construction

This clears this draft, including its undo history. Earlier successful attempts stay recorded. Build again without opening hints to record an independent attempt.

Stuck? Inspect a worked construction

The tools below form one possible solution. You can assemble it, follow its signals, and undo that change to return to your own construction.

Assumptions and test precision

The construction receives a fixed draw and performs no random sampling. A few illustrative means are not a confidence interval. Numerical tests allow a difference of 0.001. Lists and structures must also have the right shape.

A resample leaves out the hottest reading

This check uses the pieces from “Rebuild the recorded resample”.

BOTIE

One greenhouse reading is much hotter than the others. The recorded bootstrap draw omits it and selects the second reading twice. Return this draw's mean without changing the original observations.
Original observations
  1. 012
  2. 118
  3. 224
  4. 360
Recorded bootstrap indices
  1. 00
  2. 11
  3. 21
  4. 32

Use a number, text, or an array matching the requested result. For a matrix, put each row in brackets. Saving your prediction runs your current construction on these inputs and checks the earlier examples too.

Build a construction in the workspace above first. This case will test those pieces.

Why would one resampled mean be insufficient for an uncertainty interval?

Uncertainty comes from the distribution of estimates across draws, not from a single changed mean.

The construction receives a fixed draw and performs no random sampling. A few illustrative means are not a confidence interval.

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