Question

We measured the arm span and height of eight people. (Assume height is the independent variable in this analysis.)

Height	Armspan
69	72
62	67
65	65
70	70
67	71
67	69
63	67
62	62

8. What is the lower bound of a 95% confidence interval for the slope of height. a. 208 b. 1.27 C. 72 d. -2.36 9. What is the MSE for the analysis? a. 2.58 b. 1.60 c. 4.66 d. 5.36

Answer 1

6.9 x 70 67 у 72 67 65 70 62 n=8 Ex = 525 zy 34 521 35692 Ey 543 36933 Σκη Sxx = {x² sl- I (Ex)2 67. 875 Syy Ey² I (84)² 76.875 n Say Exy I (5x) (Ey) 57.625 n Sxy 0.85 - San MSE (b) Syy - Å say n-2 MSE 76.875 (0.85)57.625 8 - 2 MSE 4.66 95% confidence interval for the slope Lower Bound t ته 2/2, 1-2 MSE San 0.85 2.45 4.66 67.875 0.208 used to interval is t-value Confidence compute the upper bound of t2/2, 1-2 $0.035,0 = 2.45

(d) If sa = 0.01 the Bound is upper No + talan-2 MSE San 0.85 + 3-71 4.66 67.875 ZF2 ə 1.82