An economist estimates the following model: y = ?0 + ?1x + ?. She would like to construct interval estimates for y when x equals 2. She estimates a modified model where y is the response variable and the explanatory variable is now defined as x* = x - 2. A portion of the regression results is shown in the accompanying table. Regression Statistics R Square0.42Standard Error3.86Observations12 CoefficientsStandard Errort-statp-valueLower 95%Upper 95%Intercept24.782.768.984.2E-0618.6330.93x*2.520.952.660.02370.414.63According to the modified model, which of the following is a 95% prediction interval for y when x equals 2? (Note that t0.025,10 = 2.228.)
A. [14.21, 35.35]
B. [18.63, 30.93]
C. [20.35, 25.65]
D. [0.41, 4.63]
Answer: A
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