Given the follwing population regression function Y₁ = 10-0.5x₁ + Uj u₂ ~ N(0,0) E(u|x) = 0 a. Report the value of population slope parameter and compare it with its OLS estimate in your sample in part (a). b. Write an expression for E(y | x) c. Write an expression for E(y) d. On the x-y plane, sketch the graph of SRF and PRF. e. Add the point (7, y) to your plot in (d) above. f. Write an equation relating u; and û¡.

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Given the follwing population regression function
Yi = 10 – 0.5 x; + u;
N(0, 0)
E(u | x) = 0
a. Report the value of population slope parameter and compare it with its OLS estimate in your
sample in part (a).
b. Write an expression for E(y | x)
c. Write an expression for E(y)
d. On the x-y plane, sketch the graph of SRF and PRF.
e. Add the point (ĩ, g) to your plot in (d) above.
f. Write an equation relating u; and û¡.
Transcribed Image Text:Given the follwing population regression function Yi = 10 – 0.5 x; + u; N(0, 0) E(u | x) = 0 a. Report the value of population slope parameter and compare it with its OLS estimate in your sample in part (a). b. Write an expression for E(y | x) c. Write an expression for E(y) d. On the x-y plane, sketch the graph of SRF and PRF. e. Add the point (ĩ, g) to your plot in (d) above. f. Write an equation relating u; and û¡.
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