Question 3 have many parts please answer them for me! **Title: Analyzing Data with Scatterplots and Correlation Coefficients****3. Data Analysis Task**You are given a data set to complete parts (a) through (c) below. Use a significance level of α = 0.05.**Data Set:**- X values: 10, 9, 8, 7, 6- Y values: 9.13, 8.13, 8.14, 8.76, 7.96**a. Construct a Scatterplot: Choose the Correct Graph**From the four scatterplots (labeled A, B, C, D), select the one that correctly represents the given data set. Each scatterplot is drawn with X values on the horizontal axis and Y values on the vertical axis. **b. Find the Linear Correlation Coefficient (r):**Calculate the linear correlation coefficient, $ r $. Determine whether there is sufficient evidence to support the claim of a linear correlation between the two variables based on the calculated $ r $.The linear correlation coefficient $ r = \underline{\hspace{2cm}} $.**Scatterplot Descriptions:**1. **Scatterplot A:** The plotted points appear to form a downward curve, suggesting a non-linear relationship.2. **Scatterplot B:** The plotted points form an upward trend, hinting at a possible linear correlation.3. **Scatterplot C:** The points form a linear trend with a positive slope.4. **Scatterplot D:** The plotted points indicate a downward line, suggesting a negative linear correlation.Select the scatterplot that best matches the described pattern of the data points.Understanding the correlation coefficient helps determine the strength and direction of a linear relationship between two variables. If $ r $ is close to 1, it indicates a strong positive correlation, while a value close to -1 indicates a strong negative correlation. A value near 0 suggests no linear correlation. **Course:** MAT761 – Fall 2020 **Assignment 9 (Chapter 10)** **Date:** 11/29/2020---**Task:****1. Determine whether there is sufficient evidence to support the claim of a linear correlation between the two variables.**- [ ] 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 linear correlation between the two variables.- [ ] D. There is sufficient evidence to support the claim of a nonlinear correlation between the two variables.---**2. Identify the feature of the data that would be missed if part (b) was completed without constructing the scatterplot.**- [ ] A. The scatterplot reveals a distinct pattern that is not a straight-line pattern.- [ ] B. The scatterplot reveals a distinct pattern that is a straight-line pattern with a negative slope.- [ ] C. The scatterplot does not reveal a distinct pattern.- [ ] D. The scatterplot reveals a distinct pattern that is a straight-line pattern with a positive slope.

Name: Question 3 have many parts please answer them for me! **Title: Analyzi
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Description: Question 3 have many parts please answer them for me! **Title: Analyzing Data with Scatterplots and Correlation Coefficients****3. Data Analysis Task**You are given a data set to complete parts (a) through (c) below. Use a significance level of α = 0

a) let us first plot scatter plot we see the pattern hence option A correctly define the pattern.

Answered: p. Find the linear correlation

Math

Statistics

p. Find the linear correlation

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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Question 3 have many parts please answer them for me!

**Title: Analyzing Data with Scatterplots and Correlation Coefficients**

**3. Data Analysis Task**

You are given a data set to complete parts (a) through (c) below. Use a significance level of α = 0.05.

**Data Set:**
- X values: 10, 9, 8, 7, 6
- Y values: 9.13, 8.13, 8.14, 8.76, 7.96

**a. Construct a Scatterplot: Choose the Correct Graph**

From the four scatterplots (labeled A, B, C, D), select the one that correctly represents the given data set. Each scatterplot is drawn with X values on the horizontal axis and Y values on the vertical axis.

**b. Find the Linear Correlation Coefficient (r):**
Calculate the linear correlation coefficient, $ r $. Determine whether there is sufficient evidence to support the claim of a linear correlation between the two variables based on the calculated $ r $.

The linear correlation coefficient $ r = \underline{\hspace{2cm}} $.

**Scatterplot Descriptions:**

1. **Scatterplot A:** The plotted points appear to form a downward curve, suggesting a non-linear relationship.
2. **Scatterplot B:** The plotted points form an upward trend, hinting at a possible linear correlation.
3. **Scatterplot C:** The points form a linear trend with a positive slope.
4. **Scatterplot D:** The plotted points indicate a downward line, suggesting a negative linear correlation.

Select the scatterplot that best matches the described pattern of the data points.

Understanding the correlation coefficient helps determine the strength and direction of a linear relationship between two variables. If $ r $ is close to 1, it indicates a strong positive correlation, while a value close to -1 indicates a strong negative correlation. A value near 0 suggests no linear correlation.

**Course:** MAT761 – Fall 2020
**Assignment 9 (Chapter 10)**
**Date:** 11/29/2020

---

**Task:**

**1. Determine whether there is sufficient evidence to support the claim of a linear correlation between the two variables.**

- [ ] 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 linear correlation between the two variables.
- [ ] D. There is sufficient evidence to support the claim of a nonlinear correlation between the two variables.

---

**2. Identify the feature of the data that would be missed if part (b) was completed without constructing the scatterplot.**

- [ ] A. The scatterplot reveals a distinct pattern that is not a straight-line pattern.
- [ ] B. The scatterplot reveals a distinct pattern that is a straight-line pattern with a negative slope.
- [ ] C. The scatterplot does not reveal a distinct pattern.
- [ ] D. The scatterplot reveals a distinct pattern that is a straight-line pattern with a positive slope.

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