MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Question
### 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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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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Step 1: Construct the scatter plot.
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Step 2: Obtain the value of correlation.
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Step 3: State the hypotheses.
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Step 4: Obtain the critical value and determine the conclusion
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Step 5: Identify the feature of the data.
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