Define the lab goal and success criteria

Begin by writing the success condition in observable terms. For this case, success is not familiarity with the vocabulary; it is producing a fitted linear regression with a held-out prediction, mean absolute error, and recorded coefficient. Record the starting state so you can distinguish an improvement from a result that was already present.

On this page, the practical job is to state a measurable outcome before changing anything. The running case is a small linear relationship between study hours and score must be fit with one row held out.

from sklearn.linear_model import LinearRegression
from sklearn.metrics import mean_absolute_error

X_train = [[1], [2], [3], [4]]
y_train = [52, 60, 68, 76]
X_test, y_test = [[5]], [84]

model = LinearRegression()
model.fit(X_train, y_train)
prediction = model.predict(X_test)
print(f"slope={model.coef_[0]:.1f}")
print(f"prediction={prediction[0]:.1f}")
print(f"mae={mean_absolute_error(y_test, prediction):.1f}")

Expected evidence:

slope=8.0
prediction=84.0
mae=0.0

The output may include version-specific details such as hashes, paths, fitted thresholds, or final decimal places. Compare the structural facts described here rather than copying placeholders. If the structure differs, stop and inspect the earliest unexpected line.

1. scikit-learn expects X as rows by features, so each hour value sits inside a one-item list.
2. fit estimates coefficient and intercept using only training rows.
3. predict applies frozen parameters to the held-out row.
4. mean absolute error measures the average magnitude of mistakes in the target's units.

These lines form one chain: training pairs of study hours and observed scores plus one untouched test pair becomes a fitted slope and intercept, one held-out prediction, and an error value. Change only one input first. When several values change together, you cannot tell which change caused the new behavior.

• First failure: a one-dimensional X_train triggers an expected-2D-array error; reshape or use nested rows. Re-run the smallest command that proves the repair.
• Second failure: calling predict before fit raises a not-fitted error. Preserve the failing input as a test when it represents a realistic mistake.
• Misleading success: mixing the held-out row into fitting makes the evaluation optimistic and defeats the test. A clean-looking final line cannot cancel contradictory intermediate evidence.

When debugging, copy the exact error text and inspect names, paths, shapes, types, and versions. Explain the cause in one sentence before changing code. That discipline prevents a guessed repair from creating a second defect.

Use more than one test row for a credible metric, compare against a simple mean baseline, inspect residuals, and repeat with an outlier. Zero error on one manufactured point demonstrates mechanics, not production quality.

For the current explain step, save the smallest useful evidence: the relevant command, its output, and the input that produced it. Do not use a screenshot as the only record when text can be copied and searched. Keep generated artifacts separate from source inputs so rerunning the example does not destroy the evidence it is meant to evaluate.

Save code and dependency versions before considering model serialization. Publish the supported input shape, target units, evaluation set description, baseline comparison, and known extrapolation limits.

Return to your opening prediction. Mark it correct or rewrite it with the condition you missed. Then explain the difference between a successful execution and a trustworthy result for this specific example.