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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