Question

use the given data to find the equation of the regression line. examine the scatterplot and identify a cha the data that is ignored by the regression line.
x 10 9 13 9 11 13 6 4 13 6 5
y 7.69 6.56 12.89 7.42 8.17 8.84 5.94 5.49 7.8 6.59 5.97
find the equation of the regression line.
ŷ = 3.30 +.475 x
(round the y-intercept two decimal places as needed. round the slope to three decimal places as needed.)
identify a characteristic of the data that is ignored by the regression line.
a. there is an influential point that strongly affects the graph of the regression line.
b. the data has a pattern that is not a straight line.
c. there is no characteristic of the data that is ignored by the regression line.
d. there is no trend in the data.

Explanation:

To determine the characteristic ignored by the regression line, we analyze the options:

• Option A: An influential point (a point that strongly affects the regression line) is a characteristic ignored as the regression line is influenced by it, but the line doesn't account for its outlier - like impact on the overall trend.
• Option B: The data likely has a linear trend (since a regression line is calculated), so this is incorrect.
• Option C: There is a characteristic (influential point) ignored, so this is incorrect.
• Option D: The data has a trend (as a regression line is found), so this is incorrect.

Answer:

A. There is an influential point that strongly affects the graph of the regression line.