final07_solution

final07_solution - variables. ii. To measure the size of...

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5 ISMT111 F07 (L5,6) Final Exam- Suggested Solution Question 1: (a) 935 . 0 3 . 24 45 / 2 . 3 96 . 1 3 . 24 ± = × ± = [23.365, 25.235] (b) 4 . 157 ) 5 . 0 ( ) 2 . 3 ( ) 96 . 1 ( 2 2 2 = n , 158 = n (c) = ± = ± 073 . 0 067 . 0 45 15 14 15 1 96 . 1 15 1 [0, 0.14] (d) 186 ) 05 . 0 ( ) 86 . 0 )( 14 . 0 ( ) 96 . 1 ( 2 2 n . (e) 321 . 1 3 . 24 25 / 2 . 3 064 . 2 3 . 24 ± = × ± =[22.979, 25.621] (f) The population is normal. Question 2: (a) 17 : vs 17 : 0 > = d a d H H μ ( b) 833 . 1 942 . 1 39 . 1 7 . 2 10 9 ) 7 . 19 ( 10 4055 ) 17 7 . 19 ( 10 / 17 2 > = = d s d , reject 0 H . (c) No, because the two groups of participants are different, the observations are not paired. (d) 734 . 1 398 . 0 79 . 6 7 . 2 10 1 10 1 79 . 227 17 ) 8 . 182 5 . 202 ( 1 1 17 ) ( 2 1 1 2 < = = + = + n n s x x , accept 0 H . Question 3: (a) Mean = $50 and variance = (10) 2 /40=2.5 (b) 2586 . 0 2357 . 0 4943 . 0 } 53 . 2 63 . 0 { } 5 . 2 50 54 5 . 2 50 51 { } 54 51 { = = < < = < < = < < Z P Z P X P (c) 08 . 4 58 . 2 5 . 2 = × (d)Because } 2 2 { 9544 . 0 < < = Z P , S.E. =1, 100 1 / 10 = = n n Question 4: (a) For each x -value, there are more than one y-value. (b) Two meanings of regression: Estimating the conditional expectation; fitting a function. (c) i. To get a summary of the relationship between dependent variable and independent
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Unformatted text preview: variables. ii. To measure the size of the effect via regression coefficients. iii. For prediction. Question 5: (a) Hostility Score = 70.5 – 2.80 × Interrupt (b) 38 . 2 , . 34 = = s SSE (c) 2602 . 6 1 . 20 300 ) 15 18 ( 8 1 1 38 . 2 447 . 2 1 . 20 2 ± = − + + × × ± =[13.840, 26.360] (d) Interrupt 5 times because SSX would be larger and the S.E. for slope and intercept would be smaller. Therefore the regression coefficient can be estimated more accurately. Question 6: (a) SALES = 70.0657+0.4216 × CREAT+0.2714 × MECH+0.745 × ABST+0.4195 × MATH =70.0657+0.4216 × 12+0.2714 × 14+0.745 × 18+0.4195 × 30=104.9195 (b) CREAT, ABST, MATH. (c) 91.13% (d) 2721 . 4 9195 . 104 048 . 2 086 . 2 9195 . 104 ± = × ± =[100.6474,109.1916]...
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This note was uploaded on 09/18/2010 for the course BBA ISOM111 taught by Professor Hu during the Fall '08 term at HKUST.

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