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Below is output from a regression analysis attempting to link dependent variable

ID: 3203104 • Letter: B

Question

Below is output from a regression analysis attempting to link dependent variable y to independent variables x1 and x2 using a sample of 18 observations. Build a 95% confidence interval estimate of the regression coefficients, 1 and 2. Please choose which one is correct:

Coff Standard Err

Intercept 29.68 4.22

X1 -1.4 0.42

X2 1.1 0.58

For 1: -2.65 to .317. For 2: .22 to 1.81

For 1: -1.81 to - .467. For 2: .02 to 1.98

For 1: -2.30 to -.50. For 2: -.14 to 2.34

For 1: -1.65 to .68. For 2: .21 to 2.46

For 1: -2.65 to .317. For 2: .22 to 1.81

For 1: -1.81 to - .467. For 2: .02 to 1.98

For 1: -2.30 to -.50. For 2: -.14 to 2.34

For 1: -1.65 to .68. For 2: .21 to 2.46

Explanation / Answer

t(95% CI,17dof)=2.11

Hence for 1->[-1.4-2.11*0.42,-1.4+2.11*0.42]=[-2.30,-0.5]

For 2->[1.1-2.11*0.58,1.1+2.11*0.58]=[-0.14,2.34]

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