# test1f03 - STA 302 1001 H Fall 2003 Test 1 October 6 2003...

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Unformatted text preview: STA 302 / 1001 H - Fall 2003 Test 1 October 6, 2003 LAST NAME: FIRST NAME: STUDENT NUMBER: ENROLLED IN: (circle one) STA 302 STA 1001 INSTRUCTIONS: • Time: 50 minutes • Aids allowed: calculator. • A table of values from the t distribution is on the last page. • Total points: 30 Some formulae: b 1 = ∑ ( X i- X )( Y i- Y ) ∑ ( X i- X ) 2 b = Y- b 1 X Var( b 1 ) = σ 2 ∑ ( X i- X ) 2 Var( b ) = σ 2 1 n + X 2 ∑ ( X i- X ) 2 Cov( b , b 1 ) =- σ 2 X ∑ ( X i- X ) 2 SSTO = ∑ ( Y i- Y ) 2 SSE = ∑ ( Y i- ˆ Y i ) 2 SSR = b 2 1 ∑ ( X i- X ) 2 = ∑ ( ˆ Y i- Y ) 2 σ 2 { ˆ Y * } = Var( ˆ Y * ) = σ 2 1 n + ( X *- X ) 2 ∑ ( X i- X ) 2 σ 2 { pred } = Var( Y *- ˆ Y * ) = σ 2 1 + 1 n + ( X *- X ) 2 ∑ ( X i- X ) 2 1 (a) (b) 1 (c) (d) (e) 2 (a) (b) (c) 2 (d) 3 1 1. (a) (4 points) State the simple linear regression model for dependent variable Y and independent variable X and the Gauss-Markov conditions....
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test1f03 - STA 302 1001 H Fall 2003 Test 1 October 6 2003...

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