**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

Name: **Step 4: Calculating Slope and Intercept**This table is designed to
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Description: **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} = 13.442

Given that , x¯ = 57 and y = 13.442857

Math

Statistics

(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

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