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1 2 3 4 5 SUM X 2 3 5 7 9 Y 21 17 16 12 11 xy x + x² EN y The correlation coefficient is (round to three decimal places): r = Find the slope, intercept and correlation coefficient and report them accurately to three decimal pla The regression equation is: y =

1 2 3 4 5 SUM X 2 3 5 7 9 Y 21 17 16 12 11 xy x + x² EN y The correlation coefficient is (round to three decimal places): r = Find the slope, intercept and correlation coefficient and report them accurately to three decimal pla The regression equation is: y =

MATLAB: An Introduction with Applications
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
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.
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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