Question

You are given the following information about y and x. y x Dependent Variable Independent Variable X 15 , 12, 10, 7 ; Y 5,7,9,11. The least squares estimate of b 1 equals A. -0.7647 B. -0.13 C. 21.4 D. 16.412 43. The least squares estimate of b 0 equals A. -0.7647 B. -1.3 C. 164.1176 D. 16.41176 44. The sample correlation coefficient equals A. -86.667 B. -0.99705 C. 0.9941 D. 0.99705 45. The coefficient of determination equals A. -0.99705 B. -0.9941 C. 0.9941 D. 0.99705

Answer 1

b₀=16.41176471 answer D

b₁=-0.7647058824 answer A, where ŷ=b₀+b₁x̂ is the applicable linear regression formula.

r (correlation coefficient)=-0.9970544855 answer B (as X decreases Y increases)

r² (coefficient of determination) 0.9941176471 answer C