Consider the linear regression model Y; = Bo + ß1 X¡ + U¡ for each i = 1, ., n with n = 1,000. X¡ represents the annual income of individual i (measured in $10,000) and Y; represents the home size (measured in square feet). We run an OLS regression and get: Bin = 43.2, SE(, „) = 10.2, Bom = 700, SE(om) = 7.4. Assuming that the sample size is large enough, which one of the following is true about the 99% confidence interval for Bo? a. None of the answers b. The 99% confidence interval for ßo is [700 – 7.4 * 2.57, 700 +7.4 * 2.57] The 99% confidence interval for Bo is [700 – V7.4 * 2.57,700 + v7.4 * 2.57] C. d. The 99% confidence interval for ßo is [700 – 7.4 * 1.96, 700 +7.4 * 1.96]

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1,000. X; represents the annual income of individual i (measured
Consider the linear regression model Y; = Bo + ß1X; + U¡ for each i
in $10,000) and Y; represents the home size (measured in square feet). We run an OLS regression and get:
1,...,n withn =
Bn = 43.2, SE(, ,n) = 10.2,
Bon = 700, SE(Bo,n) = 7.4.
Assuming that the sample size is large enough, which one of the following is true about the 99% confidence interval for Bo?
a.
None of the answers
b. The 99% confidence interval for Bo is [700 – 7.4 * 2.57, 700+7.4 * 2.57]
The 99% confidence interval for Bo is [700 – V7.4 * 2.57, 700 + v7.4 * 2.57]
С.
d. The 99% confidence interval for Bo is [700 – 7.4 * 1.96, 700 +7.4 * 1.96]
Transcribed Image Text:1,000. X; represents the annual income of individual i (measured Consider the linear regression model Y; = Bo + ß1X; + U¡ for each i in $10,000) and Y; represents the home size (measured in square feet). We run an OLS regression and get: 1,...,n withn = Bn = 43.2, SE(, ,n) = 10.2, Bon = 700, SE(Bo,n) = 7.4. Assuming that the sample size is large enough, which one of the following is true about the 99% confidence interval for Bo? a. None of the answers b. The 99% confidence interval for Bo is [700 – 7.4 * 2.57, 700+7.4 * 2.57] The 99% confidence interval for Bo is [700 – V7.4 * 2.57, 700 + v7.4 * 2.57] С. d. The 99% confidence interval for Bo is [700 – 7.4 * 1.96, 700 +7.4 * 1.96]
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