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 residual plot

A residual plot has \(x -\)values from the data set and \(y -\)values as the residual values.

Step2: Check each option

• For the point \((1,-1.6)\): The \(y -\)value should be the residual. When \(x = 1\), the residual is \(-0.4

eq-1.6\)

• For the point \((2,1.5)\): When \(x = 2\), the residual is \(0.7

eq1.5\)

• For the point \((3,4.5)\): When \(x = 3\), the residual is \(-0.2

eq4.5\)

• For the point \((4,-0.6)\): When \(x = 4\), the residual is \(-0.6\)

Answer:

\((4,-0.6)\)