Consider the linear regression model Y; = ßo + 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: Bn = 43.2, SE(, m) = 10.2, Bom = 700, SE(Ôom) = 7.4. Suppose that - E- Y¡ = 900. which one of the following is correct about - E- X;? i 2=1 X; = 700+43.2 * 70, 000 I 5" a. O b. 900+700 n Li=1 X = 43.2 n Li=1 X; = 700+43.2 * 7 O d. O c. 900–700 n Li=l Xi = 43.2

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Consider the linear regression model Y; = Bo + B1 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:
Bn = 43.2, SE(B n) = 10.2,
Bo.n = 700, SE(Bom) = 7.4.
Suppose that - E= Y;
900. Which one of the following is correct about; E- X;?
n
i=1
n
i=1
a. E X;
= 700 + 43.2 * 70, 000
n
i=1
900+700
b.
n
i=1
43.2
C.
= 700 + 43.2 * 7
i=1
900–700
d.
n
43.2
Transcribed Image Text:Consider the linear regression model Y; = Bo + B1 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: Bn = 43.2, SE(B n) = 10.2, Bo.n = 700, SE(Bom) = 7.4. Suppose that - E= Y; 900. Which one of the following is correct about; E- X;? n i=1 n i=1 a. E X; = 700 + 43.2 * 70, 000 n i=1 900+700 b. n i=1 43.2 C. = 700 + 43.2 * 7 i=1 900–700 d. n 43.2
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