Question

The table shows distance of ball throw (y), grip (x1), stature (x2) and weight (x3) about fifteen boys Derive a multiple regression formula and its multiple correlation coefficient about objective variable that is distance of ball throw (y) Furthermore, derive distance of 10 ball y [m] about a x1-45[kg], x2=158[cm] and x3=60[kg] by using the multiple regression formula Stature Weight| Grip boll throw y[m] x1[kg]x2cm] x3[kg] Distance of 34 22 28 146 36 57 46 169 24 39 25 160 156 48 38 47 22 27 34 161 29 29 50 54 168 26 23 38 154 40 23 153 31 42 160 62 24 39 46 27 152 35 155 11 23 boy of 12 27 39 154 54 13 31 38 157 57 14 25 32 162 53 142 15 23 25 32 -2|3|4|5|6|7|8|09|의 부

Answer 1

X2 2 X2 Y X1*Y X3*Y X1*X2 X1*X3 X2*X3 Y X1 X2 X3 X1 2 X3^2 21316 4964 22 28 146 34 784 1156 616 3212 748 4088 952 36 46 169 57 2116 28561 3249 1656 6084 2052 7774 2622 9633 25600 24 39 160 48 1521 2304 936 3840 1152 6240 1872 7680 22 25 156 38 625 24336 1444 550 3432 836 3900 950 5928 27 47 34 161 1156 25921 2209 918 4347 1269 5474 1598 7567 29 29 168 50 841 28224 2500 841 4872 1450 4872 1450 8400 26 38 154 54 1444 23716 2916 988 4004 1404 5852 2052 8316 23 23 153 40 529 23409 1600 529 3519 920 3519 920 6120 42 25600 31 160 62 1764 3844 1302 4960 1922 6720 2604 9920 24 27 152 39 729 23104 1521 648 3648 936 4104 1053 5928 2402 5. 4 2116 805 356 510 1 27 39 154 54 1521 23716 2916 1053 4158 1458 6006 2106 8316 31 38 157 57 1444 24649 3249 1178 4867 1767 5966 2166 8949 25 32 162 53 1024 26244 2809 800 4050 1325 5184 1696 8586 4544 23 25 142 32 625 20164 1024 575 3266 736 3550 800 393 500 2349 711 17348 368585 34857 13395 61824 19033 78674 24451 111981

6alr The table shows dishante of ball throw (9) grip (x1) 1,stature (x2) and utight Cxa) a bout 15 boys Exx2 A B tXT73 EXTX3" EX2 y ExsY b 3 A AAB we take ihverse of hatrix A 17.349 76674 A 1981 368565 98/ 3u857 _2uus zhVeYse 3.367xl0°7 3.9u31 3. 6AX10-4 6.005X10 S.362x107 lu132 x 10- 3.quB 1036uX 1011207x103 A

S0 we will aultPly A' to c 13395 618.2 19033 2AC-01002214 O.07858 0.30616 6 .002214 b2a0.07858 bg 20.30(16 Derive multiple corelation coffficient about ohjective variab le that s dishane of ball throw (Y) altide regression formula and a azy-bi-bi, -b3y ar 393 00021))lo.0763) 15/ 15 l0.30416)(71 I5 a26.2t0.073 -12.30h-I4.512

92-0.5u4 y2-0.5uu-.002A1uX,to.07858 X2 t0:3016g Fuxtherote derve distance of ball y (m)a bout a boy of x2u5 (kg) , x2 18 C) and X60 (k) by usinp the ultiple Tegress ion forula 158 60 X3 00221uxust0.0858I Osuy- o. 3066x 60. o.uu37 t12.uis6ut 18.369. 30.1ul m