STA302H1 Midterm: UTSG STA 302 exf05sol
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Student number: there are 17 pages including this page, the last page is a table of formulae that may be useful. 1: suppose we have n = 102 pairs (x1, y1), . , (xn, yn) and we t the simple linear regression model yi = 0 + 1xi + i. Pn i=1(xi x)(yi y ) = 100. Ssr = 100 (a) (5 marks) complete the following anova table: 200 (b) (3 marks) estimate the slope and give a 95% con dence interval for 1. b1 = 100/100 = 1 t100,. 025. 95% ci for 1: 1 2(1)/ 100 = (0. 8, 1. 2) (c) (2 marks) use the anova table to test h0 : 1 = 0 versus h1 : 1 6= 0. Approximating f1,100 with f1,60 distribution, p < 0. 001. Strong evidence that 1 6= 0 (d) (3 marks) give a 90% prediction interval for a new observation at x = 50.
