Question

Two hundred and eighty boys completed a test that measures the distance that the subject can walk on a flat, hard surface in 6 minutes. For each age group shown in the table, the median distance walked by the boys in that age group is also given. Age Group Representative Age (Midpoint of Age Group) Median Six-Minute Walk Distance (meters) 3-5 4 544.3 6-8 7 584.0 9-11 10 667.3 12-15 13.5 701.1 16-18 17 727.6 This experiment also reported the 6-minute walk distances (in meters) for 248 girls ages 3 to 18 years. The median 6-minute walk distances for girls for the five age groups, respectively, are given below. 493.4 579.3 656.8 658.6 661.9

Answer 1

Given that Representative Age (V) median 6-min walk distance (girls) 4 4 93.4 579.3 It 656.8 10 658.6 13.5 17 661.9. NOW we need to know that the bermula ob estimated coobbicient ob the least least Square regression line. Let the equation of the line is 8 + ß ni B , I Y; ; IY Ehi Ix; - (EX)? n B 11 I ti B. IN; = } - in n

calculation; 3274001 51.5 x 3050 636.25 2652-25 12.5246 610- 12.5246810.3= 480.997. The least square regression line isa F480.997 + 12.5246 X, (d) 1 ŷ y estimated prediction, observed prediction ya ŷ Residuals s X [9 = 480.997 +12.52467 531.095 7 568.669 606-243 13.5 650.0 79. 17 693.915. NOW, we find Residuals Х Residual (y-$). 4. -37.695 + 10 13.5 10.631 50.557 8.521 17 -32.015
check the calculations and tell me if you have any doubt.