consider the table showing the given, predicted, and residual values for a data set. which point would be on…

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)

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)

Answer

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))