Regression coefficients
Correlation, regression and applied statistics · Mathematics
Study notes
Q: s_x = 4, s_y = 6, r = 0.75. Find both regression coefficients and verify r². b_yx = 0.75 × (6/4) = 0.75 × 1.5 = 1.125. b_xy = 0.75 × (4/6) = 0.75 × 0.6667 = 0.5. Product: 1.125 × 0.5 = 0.5625 = r² = 0.75². Verified!