Question

use the given data set to complete parts (a) through (c) below. (use α=0.05.)
x: 10, 8, 13, 9, 11, 14, 6, 4, 12, 7, 5
y: 7.46, 6.77, 12.73, 7.11, 7.81, 8.83, 6.08, 5.39, 8.14, 6.42, 5.73
click here to view a table of critical values for the correlation coefficient.
c. identify the feature of the data that would be missed if part (b) was completed without constructing the scatterplot. choose the correct answer below.
a. the scatterplot reveals a perfect straight-line pattern, except for the presence of one outlier.
b. the scatterplot reveals a perfect straight-line pattern and does not contain any outliers.
c. the scatterplot does not reveal a perfect straight-line pattern, and contains one outlier.
d. the scatterplot does not reveal a perfect straight-line pattern.

Explanation:

To determine the correct answer, we analyze the scatterplot implication (even without seeing the plot, we use the data). The data has an outlier? Wait, no—wait, when we look at the options, option A says the scatterplot has a perfect straight - line pattern except one outlier. Let's think about correlation and scatterplots. If we don't make the scatterplot, we might miss that most points follow a straight line but one is an outlier. So option A is correct because a scatterplot would show that most points are in a straight line, but one (maybe the point with x = 13, y = 12.73? Wait, no, maybe not. Wait, the key is that the scatterplot reveals a perfect straight - line pattern except for one outlier. So among the options, A is the one that says the scatterplot reveals a perfect straight - line pattern, except for the presence of one outlier.

Answer:

A. The scatterplot reveals a perfect straight - line pattern, except for the presence of one outlier.