Moving averages and lag

EN source master · P05-L05 · 30 minutes estimated · needs_review

Offline formative study. No wallet connection, real funds, private keys, signatures, live trade or personal portfolio inputs. Visuals are specifications. This source master remains needs_review; completing the formative exercise does not issue certification.

Smoothing can make a chart easier to read while hiding the delay and information lost in aggregation.

Define the arithmetic

A simple moving average assigns equal weights to the most recent n sampled values [SMA]. At index t, SMA(n)=sum of values t−n+1 through t divided by n. Here the source is the completed-bar close, offset zero. Before n observations, no value is available under our convention.

Inspect response instead of forecasting

With three closes at 100, a sudden close at 130 lifts the three-period mean to 110, then 120, then 130 if two more 130 closes follow. The mean's slower change follows directly from older values retaining weight. A longer window retains more older information. No average knows the next observation.

Preserve time and parameters

Moving the plotted average backwards is a display choice and must never be presented as earlier knowledge. Changing source from close to high or changing interval changes inputs. A three-hour average is not a three-day average. Data corrections can invalidate a previously published calculation.

Know the tradeoff

Smoothing reduces variation in the displayed series but can erase abrupt changes. In an alternating regime, repeated crossings are false positives for any persistent-direction story. A trending-looking segment and a flat segment can require different descriptions; selecting length after inspecting results is retrospective tuning. Record the sampling rule, window, offset, lag and unresolved future path. Crossing a mean is only an observed comparison.

• SMA (simple moving average): equal-weight rolling average.
• Window: number of sampled inputs.
• Offset: plotted displacement, not information availability.
• Lag: delayed response caused by older weighted inputs.

ILLUSTRATIVE closes T1–T6: 100,100,100,130,130,130. No missing observations. SMA3 uses complete closes; offset=0. Alternate series U1–U5: 90,110,90,110,90, used only to inspect unstable comparisons.

Plot supplied close points and SMA3 at T3–T6, annotate first availability and responses 100/110/120/130. No full candles without OHLC. Separate alternating-series panel; no directional arrows.

The original fixture's rolling arithmetic and delayed response.

A predictive crossover, an optimal length or a performance advantage.

• OBSERVED: FIX-P05-L05 stipulates T4=130.
• INFERRED: SMA3 at T4 is 110 under the supplied formula.
• UNKNOWN: T7 close.
• INSUFFICIENT EVIDENCE: SMA3 crossing yields profitable outcomes.

• Dividing by six for a three-point window.
• Plotting results before inputs exist.
• Treating a tuned parameter as universal.

Compute all available SMA3 values and SMA5 at T5/T6. Compare delay after T4. Explain why changing the plotting offset cannot improve information availability.

Deliver calculations or annotations, claim/source table and limitations. Suggested allocation: study 12 minutes, exercise 8, correction/quiz 10; estimate subject to calibration.

• Name source and interval.
• Preserve window and offset.
• Leave unavailable means blank.
• State lag and regime limits.

A moving average is a parameterized transformation of past inputs; its clarity comes with delay and lost detail.

• Calculate a declared rolling mean.
• Demonstrate lag without moving results backwards.

P05-L06 after correction review.

NONE in the authoritative catalog. The supplied offline fixture/package is sufficient; no paid feature or unverified Production capability is required. Lab/certification metadata denotes downstream associations, not access gates or live awards.

• [SMA] TradingView — Simple Moving Average — Equal-weight rolling mean and response lag. Checked 2026-10-01; locator turn11view2.