K Use the given data set to complete parts (a) through (c) below. (Use a = 0.05.) 10 7.47 8 6.76 Click here to view a table of critical values for the correlation coefficient. x y 4- 0- 0 4 8 12 16 13 12.73 0- 0 4 8 9 7.11 12 16 11 7.82 CEEEE 14 8.84 6 6.08 0- 0 4 8 12 16 OA. There is insufficient evidence to support the claim of a linear correlation between the two variables. OB. There is insufficient evidence to support the claim of a nonlinear correlation between the two variables. OC. There is sufficient evidence to support the claim of a nonlinear correlation between the two variables. D. 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. OA. The scatterplot does not reveal a perfect straight-line pattern, and contains one outlier. OB. The scatterplot does not reveal a perfect straight-line pattern. OC. The scatterplot reveals a perfect straight-line pattern, except for the presence of one outlier. OD. The scatterplot reveals a perfect straight-line pattern and does not contain any outliers. 4 5.39 4 12 8.14 4 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= 0.817 (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. 7 6.42 Clear all 5 5.73 Check answer C
K Use the given data set to complete parts (a) through (c) below. (Use a = 0.05.) 10 7.47 8 6.76 Click here to view a table of critical values for the correlation coefficient. x y 4- 0- 0 4 8 12 16 13 12.73 0- 0 4 8 9 7.11 12 16 11 7.82 CEEEE 14 8.84 6 6.08 0- 0 4 8 12 16 OA. There is insufficient evidence to support the claim of a linear correlation between the two variables. OB. There is insufficient evidence to support the claim of a nonlinear correlation between the two variables. OC. There is sufficient evidence to support the claim of a nonlinear correlation between the two variables. D. 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. OA. The scatterplot does not reveal a perfect straight-line pattern, and contains one outlier. OB. The scatterplot does not reveal a perfect straight-line pattern. OC. The scatterplot reveals a perfect straight-line pattern, except for the presence of one outlier. OD. The scatterplot reveals a perfect straight-line pattern and does not contain any outliers. 4 5.39 4 12 8.14 4 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= 0.817 (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. 7 6.42 Clear all 5 5.73 Check answer C
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Identify the feature of the data that would be missed if part (b) was completed without constructing the scatterplot. Choose the correct answer below
Transcribed Image Text:### Analyzing Data for Correlation
**Introduction:**
In this exercise, we will explore whether a linear correlation exists between two variables using a given data set. The correlation coefficient \( r \) will be calculated and used to interpret the relationship between the variables.
**Data Set:**
| x | 10 | 8 | 13 | 9 | 11 | 14 | 6 | 4 | 12 | 7 | 5 |
|----|-----|----|-----|----|-----|-----|----|----|-----|----|----|
| y | 7.47| 6.76| 12.73| 7.11| 7.82| 8.84| 6.08| 5.39| 8.14| 6.42| 5.73|
**Steps:**
1. **Calculate the Linear Correlation Coefficient \( r \):**
The calculated linear correlation coefficient is \( r = 0.817 \). This value is rounded to three decimal places.
2. **Interpret the Correlation Coefficient:**
Using the calculated \( r \), consider the following options to determine if there is sufficient evidence of a correlation:
- **A.** There is insufficient 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 sufficient evidence to support the claim of a linear correlation between the two variables. *(Chosen Answer)*
3. **Identify the Pattern in Scatterplot:**
Evaluate the scatterplot to determine what data would be missed if part (b) is completed without it:
- **A.** The scatterplot does not reveal a perfect straight-line pattern, and contains one outlier.
- **B.** The scatterplot does not reveal a perfect straight-line pattern.
- **C.** The scatterplot reveals a perfect straight-line pattern, except for the presence of one outlier.
- **D.** The scatterplot reveals a perfect straight-line pattern and does not contain any outliers.
**Conclusion:**
Upon analyzing the data and the scatter
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