You work for the International Monetary Fund in Washington DC, mon-itoring Singapore's real consumption expenditures. Using a sample ofquarterly real consumption data (measured in billions of 2005 Singaporedollars), yt, t1990.1, ..., 2006.4, you estimate the linear consumptiontrend model, Yt= Bo+ B1TIME, + €1, where &, ~iidN(0, o²), obtain-ing the estimates Bo = 0.51, B12.30, and ô² = 16.forecasts for 2010.1Provide interval forecasts for 68% and 90% confidence levels. question

Given yt=β0+β1TIMEt+εt where εt~iidN0, σ2 β^0=0.51, β^1=2.30 and σ^2=16

Answered: You work for the International Monetary…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Suppose that in a certain chemical process the reaction time y (hr) is related to the temperature (°F) in the chamber in which the reaction takes place according to the simple linear regression model with equation y = 5.10 0.01x and a = 0.085. USE SALT (a) What is the expected change in reaction time for a 1°F increase in temperature? For a 9°F increase in temperature? 1°F increase hr hr 9°F increase (b) What is the expected reaction time when temperature is 220°F? When temperature is 260°F? 220°F hr ✓hr 260°F 2.5 (c) Suppose five observations are made independently on reaction time, each one for a temperature of 260°F. What is the probability that all five times are between 2.37 and 2.63 hours? (Round your answer to four decimal places.) (d) What is the probability that two independently observed reaction times for temperatures 1° apart are such that the time at the higher temperature exceeds the time at the lower temperature? (Round your answer to four decimal places.) 0.4602 X You…
Using the following table, I'm not sure how to answer these questions: a) Find the estimated regression equation of price on the percentage of space containing ads. y^ = +( )x b) Predict the price of a magazine with 47% of is space containing ads. rounding to 3 decimal places c) Estimate the price of a magazine with 98% of its space containing ads. Runded to 3 decimal places
1. The number of pounds of steam used per month by a chemical plant is thought to be related to the average ambient temperature (in degF) for that month. The past year’s usage and temperature are shown in the following table: (a) Assuming that a simple linear regression model is appropriate, fit the regression model relating steam usage (y) to the average temperature (x). (b) What is the estimate of expected steam usage when the average temperature is 55F?
Determine whether -log (1- 9(1-) is a good cost function for logistic regression 1+e07 when y = 0. Explain.
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?
The following table gives the regression results of consumption behaviour between female and male. Consumption (C), in RM Model 1 Model 2 Constant 0.7515 0.6587 (0.024) (0.037) Y 0.8603 0.5442 (0.0301) (0.2881) Gen 0.2001 (0.0004) Y*Gen 0.3105 (0.0076) Adjusted R 0.78 0.78 No. of Observations 47 47 Note: Y=income (RM) Gen= Gender ( It is equal to 1 if person is female; 0 is for male) Figures in the parentheses are p- values a) Identify which are the qualitative, quantitative and interaction variable. Refer to Model 1: b) Write the regression equations for female and male. Draw the regression lines for female and male on the same diagram. What can you c) say? d) Interpret all the estimated slope coefficients. e) Conduct an appropriate test to determine whether variable gender is statistically significant at 5%. Should this variable be dropped from this regression model.
Here's a table with average monthly price of a stock from Jan 2021-July 2021. Month Price Jan 29000 Feb 27000 Mar 31000 Apr 30000 May 32000 June 28000 July 29000 Using a 3-period weighted moving average with weights (wt, wt-1, W-2) = (0.6, 0.2, 0.2), the predicted price August is Using an exponential smoothing model with = 0.4, and with the initial predicted price for Jan the same as the observed price for January, the predicted price for August is % Now, let's suppose that we finally observe that the price for August is 30000. The absolute percent error (APE) of your prediction for August is using the weighted moving average method and % using the exponential smoothing model. (Note: Round your answer to the nearest 2 decimal places. For your APE answer for example let's say you get 0.06786 from Excel, then you should type-in 6.79 as your answer here since it is represented as percentage. Do not enter any symbols other than integers and decimal.)
Price elasticity of demand (supply) or simply elasticity of demand (supply) measures the relative or percentage variation experienced by the quantity demanded (supplied) as a consequence of a change in the price of one percent (1%); In other words, it measures the intensity with which buyers (sellers) respond to a change in the priceprice. Elasticity is often used with respect to the price-demand relationship or the price-supply relationship, but the applicability of this concept is not restricted to that single case, but is broader, since the elasticity is calculated in percentages, since it is the only way to obtain a common unit of measure. When calculating the elasticity in arelationship, the units of measurement are maintained, therefore, they do not measure a proportional change, but a propensity, such as the well-known propensit to Keynesian consumption. The rate at which the selling price changes and from a product, with respect to its supply "x", is given by the following…
The Organization for Economic Cooperation and Development (OECD) consists of 20 industrialized countries. For these nations, the prediction equation relating y = child poverty rate (in percentage points) to x = social expenditure as a percentage of gross domestic product (GDP) is = 22-1.3x. In 2000, the actual child poverty rate ranged from 2.8% (in Finland) to 21.9% (in the U.S.). Social expenditure as a percentage of GDP ranged from 2% (in the United States) to 16% (in Denmark). What is the value of the y-intercept (a) estimated in the linear prediction equation provided above (= 22-1.3x)? Also, interpret the y-intercept. y-intercept: Interpretation of y-intercept:
lakhs) of a certain commodity for the year On the basis of quarterly sales (in 2008-12, the following calculations were made : Trend: Y = 20 + 0.5 t with origin at 1st quarter of 2008. where 1 = time unit = one quarter and y = quarterly sales ( Seasonal variations: Quarter I II III IV Seasonal Index 80 90 120 110 Estimate the quarterly sale for the year 1979 using multiplicative model.

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