Question

for the given table, which point lies on the residual plot? (1, 26) (2, 18.3) (3, 4.6) (4, 19)

Explanation:

Step1: Recall residual plot points

A residual plot has points \((x, \text{Residual})\). So we need to check which option has \(x\) as the first coordinate and the corresponding residual as the second.

Step2: Check each option

• For \((1, 26)\): Residual for \(x = 1\) is \(3.8\), not \(26\). Eliminate.
• For \((2, 18.3)\): Residual for \(x = 2\) is \(-5.3\), not \(18.3\) (18.3 is predicted \(y\)). Eliminate.
• For \((3, 4.6)\): Residual for \(x = 3\) is \(4.6\). This matches \((x, \text{Residual})\) format.
• For \((4, 19)\): Residual for \(x = 4\) is \(-8.5\), not \(19\) (19 is not residual here). Eliminate.

Answer:

(3, 4.6)