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- A statistician wants to investigate whether the price of a one-family house (Y, in dollars) is related to the number of bedrooms (X) and the number of baths (X2). Data collected by the statistician on these variables for a sample of eight one-family houses yielded the following results. 637,000] 107 -20 -177 = X'y 2,031,100 | (X'X) - 84 1,297,700 -17 -20 32 -40 -40 71 y'y 5.090708x10¹º, ΣΥ = 637,000 (a) (b) Find the estimated least-squares regression equation for the model Y₁ = B₁+B₁X₁₁ + B₂ X₁₁ +u₁ Provide concise interpretations of the coefficients of the independent variables in the estimated least-squares regression equation. (c) Construct 95% confidence intervals for B₁ and B₂. |Find the equation of the normal line to the graph of the function Y = Ln (X3 + 4), at the point (-1, 1.09)where alpha > 0, find the method of moments (MOM) estimator for alpha.
- 6. Determine the y'of * y = exe 3t %3DThe median home price in the United States over the period January 2010–January 2015 can be approximated by P(t) = 4.5t2 − 15t + 180 thousand dollars (0 ≤ t ≤ 5), where t is time in years since the start of 2010.† Part 1: Find P'(t) and P'(2). P'(t)= P'(2)=__________thousand dollars per year Part 2: The median price of a home was increasing at a rate of $__________ per year in ____________.Derive the uncertainty delta A for the function A(x,y,z) = x^3 * y + ln(z), where x = 3.1 (plus or minus) 0.2, y = 3.6 (plus or minus) 0.3, z = 2.61 (plus or minus) 0.47. Which measurement contributes most to the relative error
- The median home price in the United States over the period January 2010–January 2015 can be approximated byP(t) = 4.5t2 − 15t + 180 thousand dollars (0 ≤ t ≤ 5),where t is time in years since the start of 2010.† Find P'(t) and P'(4).P'(t) = _______P'(4) = ______thousand dollars per yearWhat does the second answer tell you about home prices? The median price of a home was increasing at a rate of $ ___per year in____1- Complete x* 1(x) dx = 32 v? ;(V?)Let {Xi} be i.i.d with the pdf f(x; θ) =c/x^(θ+1) x > 1, where θ > 0 is the unknown parameter. (a) Determine c in term of θ. (b) Given a sample {xi}i=1,...,n, find the MLE estimator θm= θm(x1, . . . , xn) for θ. (c)Let Z =X1^(-θ)+...+Xn^(-θ), Prove that θm and Z are independent.