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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If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.

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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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