### Regression Line Calculation: A Step-by-Step GuideBased on the data shown below, calculate the regression line (each value to two decimal places):\[ y = \_\_\_\_\_\_ x + \_\_\_\_\_\_ \]| $ x $ | $ y $ ||:------:|:--------:|| 3 | 40.36 || 4 | 35.98 || 5 | 35.6 || 6 | 35.82 || 7 | 31.74 || 8 | 29.86 || 9 | 29.98 || 10 | 26.8 || 11 | 24.92 || 12 | 24.94 || 13 | 23.26 || 14 | 22.18 || 15 | 21.6 |To find the regression line, follow these steps:1. **Calculate the means $\overline{x}$ and $\overline{y}$**.2. **Find the slope $b$** using the formula: \[ b = \frac{\sum{(x_i - \overline{x})(y_i - \overline{y})}}{\sum{(x_i - \overline{x})^2}} \]3. **Calculate the intercept $a$** using the formula: \[ a = \overline{y} - b\overline{x} \]After performing these calculations, substitute the values of $a$ and $b$ into the linear equation $y = bx + a$.Ensure to round each value to two decimal places for precision.

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Based on the data shown below, calculate the regression line (each value to two decimal places) y = x+ y 3 40.36 4 35.98 35.6 6. 35.82 7 31.74 8. 29.86 9 29.98 10 26.8 11 24.92 12 24.94 13 23.26 14 22.18 15 21.6

Based on the data shown below, calculate the regression line (each value to two decimal places) y = x+ y 3 40.36 4 35.98 35.6 6. 35.82 7 31.74 8. 29.86 9 29.98 10 26.8 11 24.92 12 24.94 13 23.26 14 22.18 15 21.6

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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