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An Economist Estimates the Following Model: Y = β0

question 71

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An economist estimates the following model: y = β0 + β1x + ε. 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. An economist estimates the following model: y = β<sub>0</sub> + β<sub>1</sub>x + ε. 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<sup>+</sup> = x - 2. A portion of the regression results is shown in the accompanying table.     According to the modified model, which of the following is a 95% confidence interval for E(y)  when x equals 2? (Note that t<sub>0.025,10</sub> = 2.228.)  A)  [0.41, 4.63] B)  [14.21, 35.35] C)  [18.63, 30.93] D)  [20.35, 25.65] An economist estimates the following model: y = β<sub>0</sub> + β<sub>1</sub>x + ε. 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<sup>+</sup> = x - 2. A portion of the regression results is shown in the accompanying table.     According to the modified model, which of the following is a 95% confidence interval for E(y)  when x equals 2? (Note that t<sub>0.025,10</sub> = 2.228.)  A)  [0.41, 4.63] B)  [14.21, 35.35] C)  [18.63, 30.93] D)  [20.35, 25.65] According to the modified model, which of the following is a 95% confidence interval for E(y) when x equals 2? (Note that t0.025,10 = 2.228.)


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