Show your work in the box below. Given the table below, find: a) The correlation coefficient r. b) Is there a linear correlation between x and y? Explain. x13457 y597113

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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**Exercise: Determining Correlation in Data**

**Instructions:** 

*Show your work in the box below.*

**Task:**

Given the table below, find:

a) The correlation coefficient \( r \).

b) Is there a linear correlation between \( x \) and \( y \)? Explain.

**Data Table:**

\[
\begin{array}{c|ccccc}
& 1 & 3 & 4 & 5 & 7 \\
\hline
x & 1 & 3 & 4 & 5 & 7 \\
y & 5 & 9 & 7 & 11 & 13 \\
\end{array}
\]

Note: The table presents paired data points for \( x \) and \( y \), facilitating the calculation of statistical metrics to determine the nature of their relationship.
Transcribed Image Text:**Exercise: Determining Correlation in Data** **Instructions:** *Show your work in the box below.* **Task:** Given the table below, find: a) The correlation coefficient \( r \). b) Is there a linear correlation between \( x \) and \( y \)? Explain. **Data Table:** \[ \begin{array}{c|ccccc} & 1 & 3 & 4 & 5 & 7 \\ \hline x & 1 & 3 & 4 & 5 & 7 \\ y & 5 & 9 & 7 & 11 & 13 \\ \end{array} \] Note: The table presents paired data points for \( x \) and \( y \), facilitating the calculation of statistical metrics to determine the nature of their relationship.
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