Read vertically from the given x value to the fitted line, then across to y. This x lies inside the observed range from 1 to 8, so it is interpolation. A reading within 2 y-units of the displayed line is acceptable.

Answer

Interpolation; accept sensible line-reading tolerance.

Read horizontally from y to the line, then vertically to x. For this diagram, a reading within 0.5 x-units is reasonable.

Answer

Choose one straight line through the middle of the pattern, with points on both sides. The stated equation is one reasonable fit; balanced alternatives are acceptable. The line need not pass through a data point or the origin.

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Connecting each pair forces the graph through the random variation. A straight best-fit line represents the overall relationship and normally leaves some points on either side. It need not pass through every point.

Answer

Draw one balanced straight line through the overall pattern.

Substitution gives a model prediction, but this x is well outside the observed range. The relationship may change there, so the extrapolation is less reliable and should be checked with new data.

Answer

Extrapolation; further data are needed.

A best-fit line estimates the overall relationship. It does not require every observed value to equal its prediction. Check unusual discrepancies when justified, but ordinary scatter is expected.

Answer

No; individual observations vary around a fitted trend.

Choose one straight line through the middle of the pattern, with points on both sides. The stated equation is one reasonable fit; balanced alternatives are acceptable. The line need not pass through a data point or the origin.

Answer

Substitution gives a model prediction, but this x is well outside the observed range. The relationship may change there, so the extrapolation is less reliable and should be checked with new data.

Answer

Extrapolation; further data are needed.

A best-fit line estimates the overall relationship. It does not require every observed value to equal its prediction. Check unusual discrepancies when justified, but ordinary scatter is expected.

Answer

No; individual observations vary around a fitted trend.

The lines agree at an interior point, where the data support interpolation, but even this shared prediction is not a guaranteed individual measurement. Outside the observed range their predictions differ. The seven-unit spread shows sensitivity to the chosen model, and the extrapolation needs new evidence rather than a claim of certainty.

Answer

The outside prediction is more model-dependent; neither is a guaranteed individual value.