Analysis of the cap S sub x x end-sub Formula in Statistical Variance and Regression cap S sub x x end-sub represents the corrected sum of squares for a variable
[ S_xx = (n - 1) \cdot s_x^2 ]
import numpy as np x = np.array([2,4,6,8]) Sxx = np.sum((x - np.mean(x))**2) print(Sxx) # 20.0 Sxx Variance Formula
$$S_xx = \sum x_i^2 - \frac(\sum x_i)^2n$$ Analysis of the cap S sub x x
Q: What is the difference between Sxx and Syy? A: Sxx and Syy are both sum of squares formulas, but Sxx represents the sum of squared deviations from the mean of x, while Syy represents the sum of squared deviations from the mean of y. Sxx Variance Formula
| Student | Score | Deviation from mean | Squared deviation | | --- | --- | --- | --- | | 1 | 80 | 0 | 0 | | 2 | 70 | -10 | 100 | | 3 | 90 | 10 | 100 | | 4 | 85 | 5 | 25 | | 5 | 75 | -5 | 25 |