Question

Find Lease Squares Regression Line (LSRL) equation for the following five- point data set step by step х 2. 6 8 10 у 1 2 3 4 [Select] < x = 22= [Select] < Ey= [Select ] < y2 = [Select) xy [Select ] [ Select) 72 [Select) y n2

please help timed quiz

Answer 1

Claimi Regression Find Lease squares. Line equation for the following five point 2 I 8 10 1 2 3 4 20 XY 2 2 24 . Ex= <4= Exx? Ey² = Eæy = 21 10 169 3o 68 Eæ z - 21 5.25 4 EY 2.5 10 ५ Ss xx = Ex² (Ex)? n Ssxx 2 169-1 (21)? 58.75 ܢܐ Ssyy 2 {Y²-1 (εy)² = 30 I (10)? 4 ssyy Sssey = {xy CEx) (EY) 68 - Ś C 210 C10) =15.5

The slope of equation Biz 25.5 Ssxy ssaar 58.75 B = 0.264 : The intercept Bo= ý - ß, a : 2.5- 0.264 (s.25) Bo = 1.114 so the LSRL equation should be 0.264 x + 1.114 Question 3 100 C1-Q] % Bi of the calculated confidence interval for the slope Regression line can be by the formula ß. Ita Se a ussex where Se : SSE Ely. ŷ 22 - n-2 n-2 - 1.642 3.226 : 9 4-9 1. 378 0.622) 3. 754 0.246 -0.642 -0.226 N 2 :. {cy-y = 0.91064 :. Se 0.91064 4-2 = 0.675

Question :s want to construct interval for the is we gol confidence where Das Slope B a= 0.11!! 0.05 2 و یکی از dfa n-2 3 17 ta 3.18 به این بهانه اسے کو مسی confidence interval of Bi is co.264 + 3.12 *0.675 158.75 0.264 +0.276) -0.012, 0.24) lee If wont to test Whether x is useful for prediction of t, then the hypothesis should be Ho : B,=0 Vis Ho : BIO