Note Unlike the other questions where you get around 3 attempts, you only get on

Question

Note Unlike the other questions where you get around 3 attempts, you only get one attempt here, so think carefully before you answer For this question and others that might involve derivation of a formula, after you formulate an algebraic solution, check its validity on some numerical regression examples with small data sets. If you match numerically in some instances, your answer is likely correct. If your theoretical answer doesn't match the numerical cases, go back to review your "derivation". The raw data are yi, Xil , Xi2 for 1-1, . .. , n. Let , , 2 be the least squares estimates when fitting a plane Part a) Suppose the y variable has been rescaled to y* where y* = 0.1y. Let » ,As be the least squares estimates for the data Which of the following are correct? Possibly more than one item is correct. AA* A A. 2 = 10p, E. A) = 10A) G. None of the above Part b) Suppose the X1 variable has been rescaled to x where x = 0.1x1 . Let » 1-2 be the least squares estimates for the data yi , xi, xi2 , 1 = 1, ,n Which of the following are correct? Possibly more than one item is correct. A. 2 = 2/10 E. .-A110 G. None of the above

Explanation / Answer

a) Here in this case the least square equation is

Y*=B0+B1 Y

=B0+B1Y+B2Y

=B0+(B1+B2)Y------(1)

which is same as Y*=0.1 Y ----(2)

Equating eqn 1&2 we get

B0*=0

B1*= B1/10 &

B2*= B2/10

Hope the above answer has helped you in understanding the problem. Please upvote the ans if it has really helped you. Good Luck!!

Related Questions

Navigate

• Browse (All)
• Browse N
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.