Question

Given are five observations for two variables, x and y.

xi	3	12	6	20	14
yi	50	45	55	15	15

(d) Develop the estimated regression equation by computing the values of b₀ and b₁ using b₁ =

Σ(xi − x)(yi − y)

Σ(xi − x)2

and b₀ = y − b₁x.

ŷ =

(e) Use the estimated regression equation to predict the value of y when x = 9.

Observation 1 2 3 4 5 6 7 8 9 X; 2 3 4 7 7 7 8 9 U y; 3 5 4 7 4 6 9 4 11 Develop an estimated regression equation for these data. (Round your numerical values to two decimal places.) ỹ =

Answer 1

Solution Given data, 9 (- ) - 3) (-) * ای 3 3 - 1/2 9 2 ک4 25 كي 45۔ 6 8/ کر - 199 20 ۹ 4 كز 63۔ 3 )20 - 20 i30 33 و : 43 : 1 و 36 2 - ۔ د ا حمد (و-م) (* - ) کے ?(ير - )سے O = - 25 5: -25 د ه - ت : 4 ،، (د.2-) - 36 -

36 + 27,5 a 63,59 bo: 63,5 thes the segression quaeton Y = bo+b, a y=63,5 -2.5x

Given dada. 2 9 رد - | (3-9) (ټ - 7) 2 الیا 10,737 14،27/9 3 5 2,4692 7. 7/62 4 h 3 359 / 3 /6 5 7 -0.86 2 G,605 4 7,4939 7 2,3086۔ 7, 4739 7 0 1358 7 و3وا , و ا 3,802 9392 9 4 - 4 1975 3226 % % 0ی 16 32 53 29,7779 3 3338 21 32 7719 5: 32 : لا -4 ت : 3 5 8882 و777 .29 داني b : = ري- فیلتر - اے دزد - کے 5553 37كي : b : 0, 0537

thes a = ý obă 5.8889-(0.6537)(3.7778) . 5.8889- 3,7769 ; 2, 1/2 . on Eaton Y: Quba Begression 19 : 2.112 +0,6537 By He rregression using regression Equa ton to poedicó value of y when n = 9 the 2,112 +0,6537x9 thes 2,112 + 5, 8833 7,9953 2 1 وو y; 7, 9953