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	9.14	8.14	8.74	8.76	9.26	8.11	6.14	3.09	9.13	7.27	4.74

click here to view a table of critical values for the correlation coefficient.

d. there is sufficient evidence to support the claim of a nonlinear correlation between the two variables.

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 distinct pattern that is not a straight-line pattern.
b. the scatterplot reveals a distinct pattern that is a straight-line pattern with negative slope.
c. the scatterplot reveals a distinct pattern that is a straight-line pattern with positive slope.
d. the scatterplot does not reveal a distinct pattern.

Explanation:

To determine the missed feature, we analyze the scatterplot's role. A scatterplot shows the relationship's shape. If we don't construct it, we might miss a non - straight - line (non - linear) pattern. Let's consider the data: when we look at the x and y values, the relationship isn't a simple straight line. Option A says the scatterplot reveals a distinct pattern that is not a straight - line pattern. Option B and C assume a straight - line pattern (with negative or positive slope), which is incorrect as the pattern is non - linear. Option D is wrong because the scatterplot does reveal a pattern. So the correct answer is A.

Answer:

A. The scatterplot reveals a distinct pattern that is not a straight - line pattern.