(x, - x)(y, – V) 22- 57 9.6 9.6 - 13.442857 - (-35)(-3.842857) 134.499995 --35 -3.842857 (- 9.6 -30 -3.842857 115.285710 10.1 -25 83.571425 1.1 -9 -2.342857 21.085713 2.5 8. -0.942857 -7.542856 6.7 28 3.257143 4.5 63 11.057143 696.600009 Totals
(x, - x)(y, – V) 22- 57 9.6 9.6 - 13.442857 - (-35)(-3.842857) 134.499995 --35 -3.842857 (- 9.6 -30 -3.842857 115.285710 10.1 -25 83.571425 1.1 -9 -2.342857 21.085713 2.5 8. -0.942857 -7.542856 6.7 28 3.257143 4.5 63 11.057143 696.600009 Totals
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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![**Step 4: Calculating Slope and Intercept**
This table is designed to assist in organizing values for the calculation of the slope and intercept of a dataset. Reference the previously determined mean values: \( \bar{x} = 57 \) and \( \bar{y} = 13.442857 \). The values are calculated and rounded to six decimal places.
| \( x_i \) | \( y_i \) | \( x_i - \bar{x} \) | \( y_i - \bar{y} \) | \( (x_i - \bar{x})(y_i - \bar{y}) \) | \( (x_i - \bar{x})^2 \) |
|-----------|----------|---------------------|--------------------|--------------------------------------|------------------------|
| 22 | 9.6 | -35 | -3.842857 | 134.499995 | 1225 |
| 27 | 9.6 | -30 | -3.842857 | 115.285710 | 900 |
| 32 | 10.1 | -25 | -3.342857 | 83.571425 | 625 |
| 48 | 11.1 | -9 | -2.342857 | 21.085713 | 81 |
| 65 | 12.5 | 8 | -0.942857 | -7.542856 | 64 |
| 85 | 16.7 | 28 | 3.257143 | 91.200004 | 784 |
| 120 | 24.5 | 63 | 11.057143 | 696.600009 | 3969 |
**Totals:**
- \(\sum (x_i - \bar{x})(y_i - \bar{y})\): Sum of the products of differences between each \(x_i\) and \(y_i\) from their respective means.
- \(\sum (x_i - \bar{x})^2\): Sum of the squares of the differences of each \(x_i\) from the mean of \(x\).
The table helps in the computation of the slope \(m\) of](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4a152026-4f18-428e-ba0f-fa5e238be3fd%2F09983b98-4c48-464a-9043-129937902f07%2Fn730saa_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Step 4: Calculating Slope and Intercept**
This table is designed to assist in organizing values for the calculation of the slope and intercept of a dataset. Reference the previously determined mean values: \( \bar{x} = 57 \) and \( \bar{y} = 13.442857 \). The values are calculated and rounded to six decimal places.
| \( x_i \) | \( y_i \) | \( x_i - \bar{x} \) | \( y_i - \bar{y} \) | \( (x_i - \bar{x})(y_i - \bar{y}) \) | \( (x_i - \bar{x})^2 \) |
|-----------|----------|---------------------|--------------------|--------------------------------------|------------------------|
| 22 | 9.6 | -35 | -3.842857 | 134.499995 | 1225 |
| 27 | 9.6 | -30 | -3.842857 | 115.285710 | 900 |
| 32 | 10.1 | -25 | -3.342857 | 83.571425 | 625 |
| 48 | 11.1 | -9 | -2.342857 | 21.085713 | 81 |
| 65 | 12.5 | 8 | -0.942857 | -7.542856 | 64 |
| 85 | 16.7 | 28 | 3.257143 | 91.200004 | 784 |
| 120 | 24.5 | 63 | 11.057143 | 696.600009 | 3969 |
**Totals:**
- \(\sum (x_i - \bar{x})(y_i - \bar{y})\): Sum of the products of differences between each \(x_i\) and \(y_i\) from their respective means.
- \(\sum (x_i - \bar{x})^2\): Sum of the squares of the differences of each \(x_i\) from the mean of \(x\).
The table helps in the computation of the slope \(m\) of
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