Let qty denote quantity demanded, price denote price, and suppose we estimate the modellog(qty) = ß1 + B2 log(price)+ ewhere E[e| log(price)] = 0 and we assume e is homoscedastic so Var(e| log(price)) = o². In the data, we findE- log(price,) = 0, b1 = 2.5, b2 = 0.9, Var (bj) = 1, and Var (b2) = 0.1. Suppose we are interested in estimating a = B1 + 10B2 and for this end we use theestimator å1= b1 + 10b2. What is your estimate for the variance of A? (Usually denoted by Var (Â))O a.We do not have enough information to compute Var (Â).O b. All the other options are incorrect.О с. 10O d. 11Ое. 1O f. 2

Answered: Image /qna-images/answer/ca6550cb-0e5e-47ac-832d-111d1dceb433.jpg

Answered: Let qty denote quantity demanded, price…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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How is the slope coefficient interpreted in a log-linear model, where thedependent variable is (i) in logarithms but the independent variable is not, (ii)in a linear-log model, (iii) in a log-log model?
The U.S. population can be modeled by the function y=165.6x¹.345, where y is in thousands and x is the number of years after 1800. (a) What was the population in 1970, according to this model? (b) is the graph of this function concave up or concave down? What does this mean? (c) Use numerical or graphical methods to find when the model estimates the population was 94,150,000. (a) According to the model, the population in 1970 was thousands. (Round to the nearest integer as needed.)
A survey was conducted and asked: "Do you consider your health to be poor?" This was coded as 1 for "yes" and 0 for "no." The effect of age (in years) and sex (1 male, 0 = female) on the outcome was examined using logistic regression. The fitted logistic model is: = logit(ô) = −0.544 + ß * sex + 0.0331 * age (a) What are the odds of responding "yes" for a female subject who is 60 years old? (b) What is the estimated odds ratio corresponding to the age variable? Interpret this estimate. (c) Suppose that, based on the data from the survey, the odds of responding "yes" for males are 3.79% greater than the odds for females, adjusting for age. What is the value of Â? (d) If we only wanted to assess the association between survey response (yes/no) and sex, what other method(s) (that we have learned in this class) could we have used (name at least one)? In your own words, explain why we cannot use the same method(s) if we want to consider the effects of both sex and age on survey response.
Suppose that the time in minutes, Y , that an insect spends on a plant is exponentiallydistributed such that Y ∼Exp( 1/3)(a) Evaluate P(Y > 4)(b) Evaluate P(2 < Y < 6)(c) What is the mean length of time that this insect spends on a plant?
Log(Wagei) = α + β1Educationi + β2Femalei + β3Non Whitei + β4Educationi × Femalei + εi For males, and holding other variables constant, the regression output from the linear regression model above implies that an extra year of education is associated with what percent change in wages?
14. This table shows the growth in the number of free wireless Internet access points in a city. Year 2006 2007 Number of access points 2003 2004 29 46 119 190 Determine the exponential relation y = ab* that best fits the data, where x is the number of years since 2003. a. y = 29(1.4)* b. y 18(1.8)* C. y = 18(1.8)* d. y = 29(1.6) 15. This table shows the decay in mass of a radioactive 5 15 Time (days) Mass (mg) 159 81 10 114 2005 74 Estimate the mass of the element after 45 days. a. About 15 mg b. About 11 mg 20 58 C. element. 25 41 About 21 mg E OF d. About 8 mg
A study done in 1994, of Maryland's portion of Chesapeake Bay found the following information about stocks of market-sized oysters. The stock population was 218 million, the stock will not exceed 5089 million oysters, and the intrinsic exponential growth rate is 0.274 per year.
Evaluate the following. 1. G(r)=(1/2)^2(-1) 2. f(x)=e^2(-3)
Sarah pays a flat rate plus a rate per minute for her phone plan as shown in the graph above. The cost of Sarah's phone plan, C(t), can be represented by which of the following functions? A: C(t) = -0.10t+25 B: C(t) = 0.10t+25 C: C(t) = 25(0.10)^t D: C(t) = 25(1+0.10)^t
log(salary) = 8.34 + 0.0047LSAT + 0.248GPA + 0.095log(libvol) + 0.038log(cost) + 0.0033rank 1+ ɛ 136, R2: = 0.842 n = What is the predicted ceteris paribus difference in salary for institutions with a median GPA different by one point? (Report your answer as a percentage.)
The following graph shows the approximate value of the United States Consumer Price Index (CPI) from December 2006 through July 2007. On the graph titled "CPI Dec 2006-July 2007," the horizontal axis is labeled t and the vertical axis is labeled I(t). The curve begins at the point (0, 202), goes up and right becoming more steep, passes through the approximate point (3.5, 205.5), goes up and right becoming less steep, and ends at the approximate point (7, 208.7). The approximating curve shown on the figure is given by I(t) = −0.04t3 + 0.4t2 + 0.1t + 202 (0 ≤ t ≤ 7), where t is time in months since the start of December 2006. (a) Use the model to estimate the monthly inflation rate in January 2007 (t = 1). Recall that the inflation rate is I′(t) I(t) . (Round your answer to three decimal places.) (b) Was inflation slowing or speeding up in January 2007? slowing downspeeding up (c) When was inflation speeding up? When was inflation…
One of the possible models for the coronavirus is the logistic curve, shown here without scale. This curve shows the total number of cases of people infected with the virus. The rate of change for this curve is the number of ca es per day. 1. On the curve, mark the point at which the number of cases per day is greatest. What is a mathematical term for this point? 2. One of the criteria for re-opening activities is fourteen consecutive da s with a decreasing number of cases. Where is this on the curve? Number of Infected people as a function of time

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