MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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22
**Table Completion Exercise** Fill out the table below: | | \( x \) | \( y \) | \( xy \) | \( x^2 \) | \( y^2 \) | |---|-------|-------|--------|--------|--------| | 1 | 2 | 21 | | | | | 2 | 3 | 17 | | | | | 3 | 5 | 16 | | | | | 4 | 7 | 12 | | | | | 5 | 9 | 11 | | | | | SUM | | | | | | **Instructions:** - Calculate the product \( xy \), square of \( x \) (\( x^2 \)), and square of \( y \) (\( y^2 \)) for each row. - Find the sum of columns for \( x \), \( y \), \( xy \), \( x^2 \), and \( y^2 \) at the bottom of the table. **Correlation and Regression:** 1. The correlation coefficient is (round to three decimal places): \( r = \_\_\_\_ \) 2. Find the slope, intercept, and correlation coefficient, and report them accurately to three decimal places. 3. The regression equation is: \( y = \_\_\_\_ x + \_\_\_\_ \) **Notes:** - Use the provided data to complete the calculations necessary to find the correlation coefficient, slope, and intercept. - Understanding regression and correlation is crucial for interpreting relationships between variables.
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Transcribed Image Text:**Table Completion Exercise** Fill out the table below: | | \( x \) | \( y \) | \( xy \) | \( x^2 \) | \( y^2 \) | |---|-------|-------|--------|--------|--------| | 1 | 2 | 21 | | | | | 2 | 3 | 17 | | | | | 3 | 5 | 16 | | | | | 4 | 7 | 12 | | | | | 5 | 9 | 11 | | | | | SUM | | | | | | **Instructions:** - Calculate the product \( xy \), square of \( x \) (\( x^2 \)), and square of \( y \) (\( y^2 \)) for each row. - Find the sum of columns for \( x \), \( y \), \( xy \), \( x^2 \), and \( y^2 \) at the bottom of the table. **Correlation and Regression:** 1. The correlation coefficient is (round to three decimal places): \( r = \_\_\_\_ \) 2. Find the slope, intercept, and correlation coefficient, and report them accurately to three decimal places. 3. The regression equation is: \( y = \_\_\_\_ x + \_\_\_\_ \) **Notes:** - Use the provided data to complete the calculations necessary to find the correlation coefficient, slope, and intercept. - Understanding regression and correlation is crucial for interpreting relationships between variables.
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Step 1

Given that 

X Y
2 21
3 17
5 16
7 12
9 11

 

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