select the correct answer. the scatter plot represents the purchase prices and selling prices of x - ray…

select the correct answer. the scatter plot represents the purchase prices and selling prices of x - ray machines made by five different manufacturers. which of the following points show errors of prediction or residuals? a. points (14, 25) and (15, 25) b. points (15, 25) and (18, 26) c. points (14, 25) and (16, 25) d. points (12, 24) and (18, 26)

select the correct answer. the scatter plot represents the purchase prices and selling prices of x - ray machines made by five different manufacturers. which of the following points show errors of prediction or residuals? a. points (14, 25) and (15, 25) b. points (15, 25) and (18, 26) c. points (14, 25) and (16, 25) d. points (12, 24) and (18, 26)

Answer

Explanation:

Step1: Recall residual definition

Residuals are the differences between the observed and predicted values. Points on the regression - line have zero residual. Points off the line have non - zero residuals.

Step2: Analyze each option

  • Option A: Points (14, 25) and (15, 25) are on the line, so they have zero residual.
  • Option B: Point (15, 25) is on the line, has zero residual. Point (18, 26) is on the line, has zero residual.
  • Option C: Points (14, 25) and (16, 25) are on the line, so they have zero residual.
  • Option D: Point (12, 24) and (18, 26) are off the line, so they show errors of prediction or residuals.

Answer:

D. Points (12, 24) and (18, 26)