Question

Help on this question of Linear Algebra, thanks.

Find the equation of the least squares parabola for the following data: (0,2), (1,2), (2,4), (3,9) Then make a table that displays data point x-values, data point y-values, and the least square parabola values at data point x-values.

Answer 1

Geiren dara (0.2) (12) 12.4) (39) set the parabola an?t butc ya Lel I = (y-ant-on-c)" for least square Parasola, DLL se - an²-bn-c) 5 (y-ann-bn-c) a =0 I (y-ant-bn-c) n2 =0 2. al db zo = be =o w w Ey = I an't sbnt sc & ny=5 an'+Eburteen 5 ning + Echt = anu +{on3 2 = 5 ay 4 et bsn tasa esnt ben't a qn² = {ny can't b In²+ Q En" =sny 2 n 4 y 22 ny my o 2 o 2 - 2- 2 - 2 8 4 4 16 16 9 27 3 8 27181 9 6 17 14 37 136 V) 99 198

Nы че + 6Ь tTча = 1 Ос+14 bt 36а – ЗЕ іч с+36 , +9g a с 99 Ч {Ч о 4. і / 2 14 Зе с 80 ГЧ ЗЬ 98 11 27 99 . ТЧ (ч 23 2р 98 164 ca 30 19 и е 14 17 32 99 3. ь а ПЕ go с КО г ч 6 32. 1 ч. 99 a = | Ч 3Ь Тъ Зо е 8 ( 16 ч 1ь 1 и у и Н :. 8. с Зо Ro go / +7 128 , 8. — 22s -- F4S + 2-os и 9 least square pare soles value corresponding in о 2. 2-os | 2) 1.gs 2. Ч:\S 3 9 8 • 9