Question

consider the table showing the given, predicted, and residual values for a data set. which point would be on the residual plot of the data? (1, -1.6) (2, 1.5) (3, 4.5) (4, -0.6)

Explanation:

Step1: Recall the definition of a residual plot

A residual plot has points \((x, \text{Residual})\).

Step2: Check each option

• For \(x = 1\): The residual is \(- 0.4\), not \(-1.6\). So \((1,-1.6)\) is incorrect.
• For \(x = 2\): The residual is \(0.7\), not \(1.5\). So \((2,1.5)\) is incorrect.
• For \(x = 3\): The residual is \(-0.2\), not \(4.5\). So \((3,4.5)\) is incorrect.
• For \(x = 4\): The residual is \(-0.6\). So the point \((4,-0.6)\) is correct.

Answer:

\((4,-0.6)\)