y 1 3 5 6 10 9 a. Draw a scatter diagram for the data. Should the value of r be positive or negative? Explain. b. Calculate the value of r. Round your answer to 3 decimal places.
y 1 3 5 6 10 9 a. Draw a scatter diagram for the data. Should the value of r be positive or negative? Explain. b. Calculate the value of r. Round your answer to 3 decimal places.
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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![**Transcription for Educational Website**
---
**Dataset Questions**
Consider the data provided in the table below:
| x | 0 | 1 | 2 | 5 | 7 | 8 |
|---|---|---|---|---|---|---|
| y | 1 | 3 | 5 | 6 | 10 | 9 |
**Questions:**
a. **Draw a scatter diagram for the data. Should the value of \( r \) be positive or negative? Explain.**
[**Text Box for Answer**]
b. **Calculate the value of \( r \). Round your answer to 3 decimal places.**
\( r = \) [**Text Box for Answer**]
**Explanation of Diagram:**
A scatter diagram, or scatter plot, visually displays the pairs of numerical data on a Cartesian coordinate system. The horizontal axis represents the variable \( x \) and the vertical axis represents \( y \). Each point on the scatter plot corresponds to one pair of values from the table.
The correlation coefficient \( r \) indicates the strength and direction of a linear relationship between two variables. A positive \( r \) implies a positive association, while a negative \( r \) indicates a negative association.
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Transcribed Image Text:**Transcription for Educational Website**
---
**Dataset Questions**
Consider the data provided in the table below:
| x | 0 | 1 | 2 | 5 | 7 | 8 |
|---|---|---|---|---|---|---|
| y | 1 | 3 | 5 | 6 | 10 | 9 |
**Questions:**
a. **Draw a scatter diagram for the data. Should the value of \( r \) be positive or negative? Explain.**
[**Text Box for Answer**]
b. **Calculate the value of \( r \). Round your answer to 3 decimal places.**
\( r = \) [**Text Box for Answer**]
**Explanation of Diagram:**
A scatter diagram, or scatter plot, visually displays the pairs of numerical data on a Cartesian coordinate system. The horizontal axis represents the variable \( x \) and the vertical axis represents \( y \). Each point on the scatter plot corresponds to one pair of values from the table.
The correlation coefficient \( r \) indicates the strength and direction of a linear relationship between two variables. A positive \( r \) implies a positive association, while a negative \( r \) indicates a negative association.
---
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It is given that the data of two random variables X and Y in tabulation form.
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