Use the given data set to complete parts (a) through (c) below. (Use a=0.05.) 10 7.45 6.78 Click here to view a table of critical values for the correlation coefficient. X y a. Construct a scatterplot. Choose the correct graph below. OA 10+ 12- 8 4- ********* Q Q C 13 12.73 OB. 10+ 12 2 **** HO C 9 7.11 OA. The scatterplot reveals a perfect straight-line pattern, except for the presence of one outlier. OB. The contemplet does not perfect straight line patter 11 7.81 OA. There is sufficient evidence to support the claim of a linear correlation between the two variables. OB. There is insufficient evidence to support the claim of a linear correlation between the two variables. OC. There is sufficient evidence to support the claim of a nonlinear correlation between the two variables. OD. There is insufficient 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. 14 8.83 OC. 10+ 12 8 4- ****** 6 6.07 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.) 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. 4 5.39 12 8.14 O D. 10+ 12- D 44 **** K ********** 12 10 5 5.73
Use the given data set to complete parts (a) through (c) below. (Use a=0.05.) 10 7.45 6.78 Click here to view a table of critical values for the correlation coefficient. X y a. Construct a scatterplot. Choose the correct graph below. OA 10+ 12- 8 4- ********* Q Q C 13 12.73 OB. 10+ 12 2 **** HO C 9 7.11 OA. The scatterplot reveals a perfect straight-line pattern, except for the presence of one outlier. OB. The contemplet does not perfect straight line patter 11 7.81 OA. There is sufficient evidence to support the claim of a linear correlation between the two variables. OB. There is insufficient evidence to support the claim of a linear correlation between the two variables. OC. There is sufficient evidence to support the claim of a nonlinear correlation between the two variables. OD. There is insufficient 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. 14 8.83 OC. 10+ 12 8 4- ****** 6 6.07 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.) 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. 4 5.39 12 8.14 O D. 10+ 12- D 44 **** K ********** 12 10 5 5.73
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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Transcribed Image Text:**Educational Website Content: Analyzing Correlation and Scatterplots**
**Data Set:**
- **X values:** 8, 10, 8, 9, 11, 14, 6, 4, 12, 7, 5
- **Y values:** 7.45, 6.78, 12.13, 7.11, 7.81, 8.83, 6.07, 5.39, 8.14, 6.43, 5.73
**(a) Constructing a Scatterplot:**
Choose the appropriate graph that represents the dataset.
- **Graph Options:**
- **A:** Shows no clear linear or nonlinear pattern.
- **B:** Displays a nonlinear, possibly quadratic pattern.
- **C:** Shows a negative linear pattern.
- **D:** Displays a positive linear pattern.
**(b) Determining Linear Correlation:**
- **Task:** Calculate the linear correlation coefficient, \( r \), and assess whether there is enough evidence to support a linear correlation between two variables.
- **Choices:**
- **A:** Supports the claim of a linear correlation.
- **B:** Does not support the claim of a linear correlation.
- **C:** Indicates a nonlinear correlation.
- **D:** No nonlinear correlation evidence.
**(c) Effect of an Outlier:**
Evaluate whether a data point is an outlier and its impact.
- **Choices:**
- **A:** Reveals a perfect straight-line pattern except for an outlier.
- **B:** Does not show a perfect straight-line pattern.
- **C:** No perfect pattern, contains an outlier.
- **D:** Perfect straight-line pattern, no outliers.
This exercise helps students understand how to interpret scatterplots, calculate correlation coefficients, and assess the impact of outliers on data interpretation.
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