Question

Short Answer Question We have a dataset with n = 10 pairs of observations (li, Yi), and n n Σ Xi = 683, Yi = 813, i=1 i=1 n n n 2+ = 47,405, Xiyi = 56,089, y = 66, 731. i=1 i=1 i=1 What is an approximate 95% confidence interval for the mean response at Xo = 90?

Answer 1

PAR She I Poe a CHSHA Question 1 We are given the following information as foltores: nalo au = 683 Eye 3 813 صنا Ene2 47 405 S auye = 56089 A Sy. 66731 Let us brot define the terms as folloos. SAR En2 na 2 Syy 2 Eye nya Eay in my

I PAGERI Question H Now X Eau Sa X 683 10 X 68.3 y = Eht of y Eyes 16 y 813 10 y 81.3 Sxx Ene Sxx 4.7405 (10)(683)2 7561 3756:1

Date I Pue BT aechen 9, Say Euce - - -nya 66 731-10) (81:3) - 636. I Sxy Exuyu S 56089 10)(68.2) (8113) 5611 Now the settled recreation equation is as tolton y = x + ²x X ta 0.742097606 = 56111 564

1 Page 4 I chean Queshbon B. 0.742097606 X 81:3 0.742097 606 X 68.3 47 30.61 47335. Thele turer the titted Rogerson Square y = 30.6147335 + (0:742091.006) + the bill tiret find the extimate of tem hariance of the enor o be the 22 extimate suy SxY S 634.1 2 561 7561

I Page 5 queshop] 42 = 447. 7090 332 27. 2136 2415, Let to be the mean responce when b = 4D Mo a 30.61 47335 + 10.742097606) (90) 97. 40 351804 1 + ( x x 2 Sxx se[30E + (40 – 683) 3 놀 27. 2136 2915 756 .S v 19. 68968434 4.435051786,

[ Page 6 Pueden Mear response to. the 93y. CI 3 Mo t talaine SE (40). ci ci = 0.95 x=0.05 toos, 10-2 to.025,8 = 2.306 → Mo = (2-306) (55 (40)) 297. 40351804+ (2.300) (4.43505786) =97. 40351804 10. 227 22942 85.176.2 8862, 107: 6307475]

TPAGET Eleanon I Hence, the 95%. Confidence internal for the mean response at Xo = 90 I's (37.17628862, 107.6307475].