Question

use the given data to find the equation of the regression line. examine the scatterplot and identify a characteristic of the data that is ignored by the regression line.
x: 6, 4, 10, 9, 12, 3, 13, 11, 7, 8, 5
y: 7.29, 4.11, 9.69, 9.58, 8.91, 2.03, 8.03, 9.47, 8.38, 8.15, 5.87
identify a characteristic of the data that is ignored by the regression line.
a. the data has a pattern that is not a straight line.
b. there is an influential point that strongly affects the graph of the regression line.
c. there is no trend in the data.
d. there is no characteristic of the data that is ignored by the regression line.

Explanation:

To determine the correct answer, we analyze the options:

• Option A: A regression line models linear relationships. If the data has a non - linear pattern (e.g., a curve), the regression line (which is linear) will ignore this non - linear pattern. This is a valid characteristic that regression lines ignore.
• Option B: The question is about a characteristic ignored by the regression line in general, not about influential points affecting the regression line. Influential points affect the regression line's calculation but are not a characteristic the line ignores in terms of the overall data pattern.
• Option C: The data does have a trend (even if non - linear), so this is incorrect.
• Option D: Since the data has a non - linear pattern which the linear regression line ignores, this is incorrect.

So the correct option is A as the regression line assumes a linear relationship and ignores non - linear patterns in the data.

Answer:

A. The data has a pattern that is not a straight line.