K Use the given data set to complete parts (a) through (c) below. (Use a = 0.05.) 8 8.14 13 8.73 9 8.76 X y 10 9.14 Click here to view a table of critical values for the correlation coefficient. 11 9.27 0 4 8 12 16 C 14 8.09 6 6.13 OA. The scatterplot reveals a distinct pattern that is a straight-line pattern with negative slope. OB. The scatterplot reveals a distinct pattern that is a straight-line pattern with positive slope. OC. The scatterplot does not reveal a distinct pattern. OD. The scatterplot reveals a distinct pattern that is not a straight-line pattern. 4 3.09 04 8 12 16 b. Find the linear correlation coefficient, r, then determine whether there is sufficient evidence to support the claim of a linear correlation between the two variables. The linear correlation coefficient is r=. (Round to three decimal places as needed.) 0 4 8 12 16 12 9.12 OA. There is insufficient evidence to support the claim of a linear correlation between the two variables. OB. There is sufficient evidence to support the claim of a linear correlation between the two variables. OC. There is insufficient evidence to support the claim of a nonlinear correlation between the two variables. O D. There is sufficient evidelice 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. 7 7.26 * 0 4 8 12 16 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. 5 4.75 O₂
K Use the given data set to complete parts (a) through (c) below. (Use a = 0.05.) 8 8.14 13 8.73 9 8.76 X y 10 9.14 Click here to view a table of critical values for the correlation coefficient. 11 9.27 0 4 8 12 16 C 14 8.09 6 6.13 OA. The scatterplot reveals a distinct pattern that is a straight-line pattern with negative slope. OB. The scatterplot reveals a distinct pattern that is a straight-line pattern with positive slope. OC. The scatterplot does not reveal a distinct pattern. OD. The scatterplot reveals a distinct pattern that is not a straight-line pattern. 4 3.09 04 8 12 16 b. Find the linear correlation coefficient, r, then determine whether there is sufficient evidence to support the claim of a linear correlation between the two variables. The linear correlation coefficient is r=. (Round to three decimal places as needed.) 0 4 8 12 16 12 9.12 OA. There is insufficient evidence to support the claim of a linear correlation between the two variables. OB. There is sufficient evidence to support the claim of a linear correlation between the two variables. OC. There is insufficient evidence to support the claim of a nonlinear correlation between the two variables. O D. There is sufficient evidelice 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. 7 7.26 * 0 4 8 12 16 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. 5 4.75 O₂
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section: Chapter Questions
Problem 4SGR
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Question
Transcribed Image Text:### Linear Correlation Analysis with Critical Values
#### Instruction:
Use the given data set to complete parts (a) through (c) below. (Use α = 0.05).
#### Data Set:
| x | 10 | 8 | 13 | 9 | 11 | 14 | 6 | 4 | 12 | 7 | 5 |
|----|-----|-----|-----|-----|-----|-----|-----|-----|-----|-----|-----|
| y | 9.14| 8.14| 8.73| 8.76| 9.27| 8.09| 6.13| 3.09| 9.12| 7.26| 4.75|
#### Instructions for Analysis:
**Part (a):**
- Click the link to view a table of critical values for the correlation coefficient.
**Part (b):**
- Find the linear correlation coefficient, \( r \), then determine whether there is sufficient evidence to support the claim of a linear correlation between the two variables.
- **Linear correlation coefficient:** \( r = \_\_\_ \)
- (Round to three decimal places as needed.)
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:
**Options:**
- A. There is insufficient evidence to support the claim of a linear correlation between the two variables.
- B. There is sufficient evidence to support the claim of a linear correlation between the two variables.
- C. There is insufficient evidence to support the claim of a nonlinear correlation between the two variables.
- D. There is sufficient evidence to support the claim of a nonlinear correlation between the two variables.
**Part (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:
**Options:**
- A. The scatterplot reveals a distinct pattern that is a straight-line pattern with negative slope.
- B. The scatterplot reveals a distinct pattern that is a straight-line pattern with positive slope.
- C. The scatterplot does not reveal a distinct pattern.
- D. The scatterplot reveals a distinct pattern that is not a straight-line pattern.
#### Explanation of Di
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