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which point would be on a residual plot of the data? (1,15) (2,11.9) (3…

Question

which point would be on a residual plot of the data? (1,15) (2,11.9) (3,0) (5,2.1)

Explanation:

Step1: Recall the definition of residual plot

A residual plot has \(x -\)values as the independent variable (here age) and \(y -\)values as the residual.

Step2: Check each option

  • For \((1,15)\): The \(y -\)value should be the residual. When age \(x = 1\), residual is \(0.2

eq15\).

  • For \((2,11.9)\): When age \(x = 2\), residual is \(0.1

eq11.9\).

  • For \((3,0)\): When age \(x = 3\), residual is \(0\). This matches the form \((x,\text{residual})\).
  • For \((5,2.1)\): When age \(x = 5\), residual is \(0.8

eq2.1\).

Answer:

\((3,0)\)