In: Statistics and Probability
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 |
7.47 |
6.77 |
12.74 |
7.12 |
7.81 |
8.85 |
6.08 |
5.38 |
8.15 |
6.41 |
5.73 |
Using the linear correlation coefficient found in the previous step, determine whether there is sufficient evidence to support the claim of a linear correlation between the two variables. Choose the correct answer below.
A.There is sufficient evidence to support the claim of a linear correlation between the two variables.
B.There is insufficient evidence to support the claim of a nonlinear correlation between the two variables.
C.There is sufficient evidence to support the claim of a nonlinear correlation between the two variables.
D.There is insufficient evidence to support the claim of a linear 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 perfect straight-line pattern, except for the presence of one outlier.
B.
The scatterplot does not reveal a perfect straight-line pattern, and contains one outlier.
C.
The scatterplot does not reveal a perfect straight-line pattern.
D.
The scatterplot reveals a perfect straight-line pattern and does not contain any outliers.
Using the linear correlation coefficient found in the previous step, determine whether there is sufficient evidence to support the claim of a linear correlation between the two variables. Choose the correct answer below.
A.There is sufficient evidence to support the claim of a linear 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 perfect straight-line pattern, except for the presence of one outlier.