Consider the Cobb- Douglas production function, Q = aK^bL^c ; b and c a) Can be estimated using OLS on the equation Q = a +bK+cL b) Can be calculated from the covariances of K and L wit
Q: Does e + z? have "fenetely mony gores in E explain.
A: Since you have posted a multiple question ,I will solve the first question for you. To get…
Q: An ecologist is considering two different positions in which to setup his solar energy collector. He…
A: The appropriate Null and Alternative Hypotheses are given below: Null hypothesis: H0: µ1=µ2.…
Q: Suppose that we have two independent data sets from the same process. One was collected in the past…
A: Given the two models as yi=α0+α1xi+εi , i=1, . . . , n1 yi=β0+β1xi+εi , i=n1+1, . . . , n where…
Q: A system consisting of two components will con- tinue to operate only as long as both components…
A: The given joint density function is: fx, y=c10-x+y x,y>0, x+y<10 Further, the value of c…
Q: Suppose that the lifetime, X, and brightness, Y, of a light bulb are modeled as continuous random…
A: Joint Probability Distribution: Let X and Y be two continuous random variables defined over the…
Q: When the classical linear model assumptions are fulfilled, the OLS estimator is...…
A:
Q: Why the 1st row and 1st column of the JACOBIAN MATRX is always Zero ?
A: It is not necessary that the 1st row and the 1st column is always zero. It may be possible or it…
Q: 2. The Hamiltonian operato represented as
A: Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…
Q: Let X1, X, and X, be the lifetimes of components 1, 2, and 3 in a three-component system. a. How…
A:
Q: 3. Find an orthonormal pair one of whose members is proportional to (4, -3).
A:
Q: 2-The beta function is symmetric true false
A: 2. To show: beta function is symmetric or not. Please post the multiple questions separately. Here l…
Q: Show that errors should be added in quadrature by adding two Gaussians and examining the resulting…
A:
Q: DA dzferendial equeadion of 2nd order has how many arbètrany Constants en the generel Soletion q @2…
A:
Q: 6. Find the orthogonal trajectories of the family of circles passing through the points (1, –2) and…
A: A Curve is called Orthogonal trajectories if it cuts every member of a given family of curves at…
Q: Prove the moment generating function of the sum of two independent variables is the product of their…
A: It is a property of moment generating function. Moment generating function of the sum of two…
Q: Let X1, X2, ... , Xn be a random sample from N(μ, σ2). Find the Moment Generating Function of X̅.…
A:
Q: An ecologist is considering two different positions in which to setup his solar energy collector. He…
A: Given: n=10 The significance level is taken as 0.05.
Q: How do i find e(x), var(x) and e(x^3) using the moment generating function
A: Let us define the random variable X with moment generating function Mx(t).The moment generating…
Q: 8. Let X1,..., X, be a random sample from a population that only takes positive values. Use the…
A: Given: Let X1, X2,......Xn be a random sample from a population that only takes positive values.
Q: What do the functions Y LY, Y look like? Are there any maximum or minimum probability at any…
A: By the functions Y1,1 , Y1,0 , Y1,-1. Y1,1=-38πsinθeiφ The probability density is:…
Q: 13. Apply Ito's formula to compute the evolution of W, . W is a Brownian motion
A: Given information: Yt=Wt7, where W is a Brownian motion.
Q: The decision rule for a Wilcoxon signed-rank test is always to reject H0 if W is greater than or…
A: Given: Wilcoxon signed-rank test
Q: Suppose that X and Y are independent exponential random variables with parameter lambda = 1. Let Z =…
A: Exponential distribution: A random variable X is said to have a exponential distribution with a…
Q: Find the maximum value of |2iz²+ 3| on |z| <1 using the Maximum Modulus Principle.
A: It is given that, 2iz2+3 on z≤1. The objective is to find the maximum value of 2iz2+3 on z≤1 using…
Q: How is the Jacobian formulated?
A:
Q: In a factory, two machines are serving 10 parts per hour. Parts arrive at the rate of 12 per hour…
A:
Q: Suppose X - N(u, o?) where o is known. Let X1, X2,.... X, be a random sample of size n. Prove that u…
A:
Q: An investor has decided to fo investor assumes that the ex be 15% and 10%, respectivel returns have…
A: w1=55%w2=45%σ1=15%σ2=10% ρ(1,2)=-0.5
Q: Consider a particle in a box of length L with one end coinciding with the origin. It is frequently…
A: Consider a particle in a box of length L and n = 1, then, ψ1 = 2L sin πxL Now, consider an another…
Q: where a, b, d, e, r and K are positive constants. What type of interaction exists between N1 and N2?…
A: The objective is to state the interaction between N1 and N2. To state the ecological implication of…
Q: Define Interactions Between a Continuous and a Binary Variable?
A: The interaction between a continuous and a binary variable is simply the product of these two…
Q: 3. integrate the followin g scosuxdx
A:
Q: If a constant c is added to each possible value of a discrete random variable X, then the expected…
A: Given:- a constant c is added to each possible value of a discrete random variable X,then the…
Q: 6. A population of fish is living in an environment with limited resources. This environment can…
A: We will use the fact , If f(x) is increasing then its derivative f '(x) >0 For direction field…
Q: There are two competing designs for a certain semi- conductor circuit. The lifetime of the first (in…
A: a) Let X denote the lifetime of first circuit and Y denote the lifetime of second circuit. Simulate…
Q: Let X, and X, be two exponential rvs with common parameter 1= 1. 2 1) compute P(X, < 3) and P(X, <…
A: As requested i have answered 1st part using concept of exponential distribution.
Q: Z1 is a Gaussian zero mean random vector of size Z2 ppose that Z = 1 1 |K] = with Covariance matrix…
A:
Q: Suppose the true model is given by Y = B(U)X +U where U - X and 8(U) = 1 if U >0 and =-1 if U < 0.…
A:
Q: Suppose we have a fair spinner with the numbers 1,2, and 3 on it. Let X be the number of spins until…
A: Solution
Q: Test the existence of serial autocorrelation for the above model. State three (3) ways of correcting…
A: a) From the given summary, it is evident that DW statistic from Durbin Watson test is 1.591. A rule…
Q: 3. Compute and plot the DTFT of the signal x[n] = 0.6"u[n]. %3D
A: In Matlab; there is no inbuilt function discrete f=Fourier transform. So, I am finding z transform…
Q: From a sample with n=32, the mean number of televisions per household is 2 with a standard deviation…
A:
Q: What does Peano's EU Theorem 6.1 guarantee for the IVP dy/dt = -t/y, IC(t_o, 0)
A: Peano's theorem: Let f: Dom f→Rn be defined in a neighborhood of (t0, y0). Consider the initial…
Q: A CI is desired for the true average stray-load loss µ (watts) for a certain type of induction motor…
A: (a) Obtain the 95% confidence interval for the population mean. The 95% confidence interval for the…
Q: In a video game with a time slot of fixed length T, signals are generated according to a Poisson…
A: Step 1: It is given that signals are generating according to poisson process with rate .And during…
Q: 2. It can be shown that if the random variable Trepresents the time to the rth event in a Poisson…
A:
Consider the Cobb- Douglas production
a) Can be estimated using OLS on the equation Q = a +bK+cL
b) Can be calculated from the
c) cannot be estimated using OLS
d) can be estimated using OLS on the equation log(Q) =log(a) +b log(K) +b log(L)
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
- Which one is correct? Consider the Cobb- Douglas production function, Q = aK^bL^c ; b and ca) Can be estimated using OLS on the equation Q = a +bK+cL b) Can be calculated from the covariances of K and L with Qc) cannot be estimated using OLS d) can be estimated using OLS on the equation log(Q) =log(a) +b log(K) +b log(L)Suppose a logistic regression model is fitted for the probability of car ownership for residents of a certain city in Oman (Y=1 if a resident owns a car, Y=0 if a resident does not own a car). Suppose the explanatory variables used are x1=no. of years a resident spent in schooling and x2 is gender of the resident of the city (x2=1 for a male and x2=0 for a female resident) a) Interpret el and e82 b) if BO= -1.6, B1=0.4 and B2=3, estimate the probability of a resident in the city owning a car.2. You have obtained measurements of height in inches of 29 female and 81 male students (Studenth) at your university. A regression of the height on a constant and a binary variable (BFemme), which takes a value of one for females and is zero otherwise, yields the following result: Studentl= 71.0– 4.84×BFemme , R2 = 0.40, SER = 2.0 (0.3) (0.57) a. What is the interpretation of the intercept? What is the interpretation of the slope? How tall are females, on average? b. Test the hypothesis that females, on average, are shorter than males, at the 1% level. c. Is it likely that the error term is homoskedastic here?
- Suppose that we want to build a model that predicts the group membership of a hurricane, either tropical (0) or non-tropical (1) based on the latitude of formation of the huricane. The response variable is the binary variable Type.new (type of hurricane) and the predictor variable is FirstLat (First Latitude). Using R, we build a model by applying the glm () function. For the logistic regression model, we specify family = "binomial". The data is available at https://userpage.fu-berlin.de/soga/200/2010 data sets hurricanes.xlsx. The R code is #set up filename my.filename 1z|) <2e-16 *** 0.96148 -9.446 0.37283 0.03947 9.447 <2e-16 *** --- *# Signif. codes: 0 '*** 0.001 **' 0.01 '*' 0.05'.' 0.1 '' 1 # (Dispersion parameter for binomial family taken to be 1) Null deviance: 463.11 on 336 degrees of freedom *# Residual deviance: 232.03 on 335 degrees of freedom *# AIC: 236.03 *# Number of Fisher Scoring iterations: 6 What is the interpretation of the p-value of the predictor variable…Consider a model with an interaction term between being female and being married. The dependent variable is the log of the hourly wage: log(wage) = 0.151 - 0.038 female + 0.1 married - 0.301 female* married + 0.079 educ + 0.027 exper+0.029 tenure (0.072) (0.056) (0.055) (0.007) (0.005) (0.007) n = 536, R2 = 0.461 Numbers in parantheses are standard errors of coefficients. Given the estimation result and the observation number fill in the blanks below which aim at discussing the statistical significance of variables. The test statistic of the interaction term is The critical value at 1% significance level is Then the interaction term statistically significant at 1% significance level. (Hint: to fill the blank make a choice between "is" and "is not".)Consider the logit regression log(odds(QualExam)) = B, + B, * ParEduc + B2 + Awards, where QualExam is a binary variable that indicates passing the exam if equal to 1, and failing the exam if 0, ParEduc indicates the parents' education level, and Awards is a binary variable that indicates having experience of obtaining award(s) if equal to 1, and not having experience if 0. Given the parents' average education level unchanged, the odds ratio is expected to be for an individual with awards to pass the exam comparing to those without awards. For an individual without awards and the parents' education level of 4, the estimated probability of passing the exam is approximately_. Intercept ParEduc Awards -10.53 2.98 0.48 O A. 1.616; 4%. O B. 1.616; 80%. O C. 0.48; 4%. O D. 0.48; 80%.
- Consider the logit regression log(odds(QualExam) = ßo + B, • ParEduc + B, • Awards. where QualExam is a binary variable that indicates passing the exam if equal to 1, and failing the exam if 0, ParEduc indicates the parents' education level, and Awards is a binary variable that indicates having experience of obtaining award(s) if equal to 1, and not having experience if 0. Given the parents' average education level unchanged, the odds ratio is expected to be _ for an individual with awards to pass the exam comparing to those without awards. For an individual without awards and the parents' education level of 4, the estimated probability of passing the exam is approximately_. ParEduc Awards Intercept -10.53 2.98 0.48 O A. 0.48; 80%. O B. 1.616; 80%. O C. 1.616; 4%. O D. 0.48; 4%.Suppose that a researcher, using wage data on 200 randomly selected male workers and 240female workers, estimates the OLS regressionW age ˆ =10(0.2)+2(0.4)× M ale, R2 = 0.10, SER = 4,where Wage is measured in dollars per hour and Male is a binary variable that is equal to 1 if theperson is a male and 0 if the person is a female. Define the wage gender gap as the difference inmean earnings between men and women.1. What is the estimated gender gap?2. Is the estimated gender gap significantly different from 0? (Compute the p-value for testingthe null hypothesis that there is no gender gap.)13. Construct a 95% confidence interval for the gender gap.4. In the sample, what is the mean wage of women? Of men?5. Another researcher uses these same data but regresses Wages on Female, a variable that isequal to 1 if the person is female and 0 if the person a male. What are the regression estimatescalculated from this regression?W age ˆ = _ + _ × F emale, R2 = _, SER = _.Consider the following panel model to examine the effect of retirement on consumption expenditure, consit, of individual i over years t=1,…,3: (B1) log(consit) = β0 + β1retiredit + β2ageit + β3marriedit + β4healthit + δ1Yr2t + δ2Yr3t + ai + uit Where: retiredit is a dummy variable equal to 1 if individual i is retired on year t and 0 otherwise ageit is the individual's age in years marriedit is an indicator variable for whether the individual is married (1) or not (0) in year t healthit is an indicator variable equal to 1 if the individual is in 'good health' and 0 otherwise Yr2 is a dummy variable equal to 1 in year t=2 and 0 otherwise Yr3 is a dummy variable equal to 1 in year t=3 and 0 otherwise Using the information above, answer the following 3 questions. [i] Give two (2) examples of the kind of variables captured by the term ai in Model (B1). [ii] What is the crucial assumption we must make so that the random effects (RE) estimator is consistent? Under this assumption, why is…
- Assume you fit a logistic regression for binary Y [i.e., replace EY in linear regression by log(EY/(1- EY))=log(odds)]. Instructor claims: beta for the main effect is log(OR), and beta for interaction effect is log(ROR), where ROR denotes the ratio of the odds ratio. Explain your agreement or disagreement.Consider the logit regression log(odds(QualExam)) = Bo + B1 * ParEduc + 62 * Awards. where QualExam is a binary variable that indicates passing the exam if equal to 1, and failing the exam if 0, ParEduc indicates the parents' education level, and Awards is a binary variable that indicates having experience of obtaining award(s) if equal to 1, and not having experience if 0. Given the parents' average education level unchanged, the odds ratio is expected to be to those without awards. For an individual without awards and the parents' education level of 4, the estimated probability of passing the exam is approximately for an individual with awards to pass the exam comparing Intercept ParEduc Awards -10.53 2.98 0.48 O A. 1.616; 80%. O B. 0.48; 4%. O C. 0.48; 80%. O D. 1.616; 4%.Suppose that the weight of a type of organism is governed by a power law relationship with its length from snout to tail and the thickness of its central vertebrae W = cLpVq. One specimen weighed 37 kg with a length of 1.6 m and vertebral thickness 1 cm. A second specimen weighed 45 kg with a length of 1.6 m and vertebral thickness 1.3 cm. A third specimen weighed 56 kg with a length of 3.1 m and vertebral thickness 1.2 cm. Write an equation with the correct coefficient and parameters values.