Question

which points would be considered outliers?
check all that apply.

(3, 9)
(4, 4)
(6, 5)
(7, 1)
(8, 7)
(11, 2)
none

Explanation:

Identify the general trend of the data points

The majority of the data points follow a clear positive linear association from the bottom-left to the top-right:

$$ (1, 2), (2, 3), (4, 4), (5, 4), (6, 5), (8, 7), (9, 6), (10, 8) $$

Evaluate the given options against the trend

• \((3, 9)\): This point lies far above the general linear trend of the data.
• \((7, 1)\): This point lies far below the general linear trend of the data.
• \((11, 2)\): This point lies far below the general linear trend of the data.
• Other points listed in the options, such as \((4, 4)\), \((6, 5)\), and \((8, 7)\), lie directly along the main trend line.

Select the outliers

The points that deviate significantly from the overall pattern of the scatterplot are:

$$ (3, 9), (7, 1), (11, 2) $$

Answer:

• ☐ (3, 9) (Correct answer)
• ☐ (4, 4)
• ☐ (6, 5)
• ☐ (7, 1) (Correct answer)
• ☐ (8, 7)
• ☐ (11, 2) (Correct answer)
• ☐ none