Aur 2.81-0.23xgy, R² = 0.36, SER=0.78 (0.12) (0.04) that the estimator has a normal distribution, the 95% confidence interval for the slope is approximately the interval: .57, 3.05).
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- A researcher has a sample of 6 annual observations {94, 104, 102, 99, 111 and 107} for the CPI in country Z for the period 2015 to 2020, and wants to forecast CPI for the years 2021, 2022 and 2023. The researcher uses 3 different forecasting models: A, B and C. Model A is an AR(1) model with no drift and with an estimated autoregressive coefficient = 0.7. Model B is a MA(1) model with no constant and with an estimated MA coefficient = -0.4 (note the minus !). Model C is a random walk model with no drift. The error terms over the 2015-2020 period were estimated to have the values: {3, -1, 2, 4, -3, 1}. a. Compute the 2021, 2022 and 2023 forecasted values for the consumer price index based on the three models. Show the formulas and the details of your calculations, and explain all the related symbols. b. Suppose that the actual values of the CPI over the 2021, 2022 and 2023 were {108, 114, 105}. Calculate the Root mean square error of the three model forecasts over the 2021-2023…the logistic equation y=9200/(1+8.03x^-0.121t) models the gross domestic product (GDP) of the united states from 1970 through 1992, where t is the number of years after 1970 and y is in billions of dollars. at what value of t is the growth in GDP increasing most rapidly in what year?All questions utilize the multivariate demand function for Smooth Sailing sailboats in C6 on text page 83. Compute to three decimal places. Initial values are: PX = $9500 PY = $10000 I = $15000 A = $170000 W = 160 This function is: Qs = 89830 -40PS +20PX +15PY +2I +.001A +10W 1.(a). Use the above to calculate the arc price elasticity of demand between PS = $9000 decreasing to PS = $8000. The arc elasticity formula is: 1.(b). Judging from the computation in (a), do you expect the revenue resulting from the decrease in Ps to $8000 to increase, remain the same, or decrease relative to the revenue at Ps = $9000. (Hint: see the table on page 65 of Truett). Explain your choice. 1.(c). Calculate the point elasticity of demand for Smooth Sailing sailboats at PS = $9000 (which should make Qs = 101600). The formula is: 1.(d). Does this elasticity value indicate that Smooth Sailing demand is relatively responsive to changes in the price of these sailboats? Explain…
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- How can we say that Sample Average is the Efficient Linear Estimator of E(Y)?As the selling price of a product increases, demand decreases. Fewer people will buy a product if it is more expensive. This is a very important concept. The demand equation for new iSmarts is given by 0.025x , where p is the unit p = 100 price (in dollars) of the iSmart and x is the number of units produced. We can determine the total revenue (money earned for selling x iSmarts) by multiplying the number of items we sell, x and the price p. The total revenue obtained by producing and selling x iSmarts is given by = xp 100x – 0.025x². It makes sense that this function is quadratic. The company can price the iSmarts so high that no one will buy them and the revenue will be zero. The can also set the price to $0, but the revenue will still be $0, no matter how many iSmarts they "sell". In between, the graph is a parabola opening downward. Determine prices p that would keep revenue above 6530 dollars. Give your answers to 2 decimal places. The revenue will be above 6530 if price is…Consider the following summary statistics of the variables x, y and z var(x) = 2.4, var(y)=3.2, var(z) =1.1 cov(x,y) = 3.1, cov(x,z) = 4.2, cov(y,z) = 8 What is the instrumental variable (IV) estimator of the effect of x on y when you use the variable z as an instrumental variable?
- By definition, the mean a is the center of gravity of the data. b is always the central (or middle) data point. c balances the number of observations on either side of mean value. d balances the deviations of the data from the mean. e Both (b) and (c) are correct f Both (a) and (d) are correct.Question 22 A computer depreciates 32% per year. A computer is bought for $1200. What is an equation to model this where V is the value of the computer and t is the years that passs since it is bought. Ov= 1200(-0.32)t OV= 1200(0.32) OV = 1200(1.32) OV = 1200(0.68) Question 23 A computer depreciates 32% per year. A computer is bought for $1200. What is an equation for the year since the comupter is bought as a function of the computer's worth? Ot=10g0.68 (1200)A large school district is reevaluating its teachers' salaries. They have decided to use regression analysis to predict mean teacher salaries at each elementary school. The research has come up with the following prediction equation: Y = $18012.24 + 1432.37X1 - 4.07 X2 where X1 = Yrs Exp and X2 = Yrs Exp2 (a) If a teacher has 7 years of experience, what is the expected salary? (b) If teacher has 10 years of experience, what is the expected salary?