Question 6. Table 2 presents data on the aggregate consumption (Y, in billions of HK dollars)and disposable income X, also in billions of HK dollars) for a developing economy over a 12-yearperiod from 2012 to 2023.Year i Y₁ Xi2012 1 102 1142013 2 106 1182014 3 108 1262015 4 110 1302016 5 122 1362017 6 124 1401282019 8 130 1562018 71482020 9 142 1602021 10 148 1642022 11 150 1702023 12 154 178TABLE 2. Aggregate Consumption (Y) and Disposable Income (X)Answer the following questions:(1) Draw a scatter diagram using the data and visually inspect whether there exists anapproximate linear relationship between Y and X.(2) Determine the simple regression equation for the consumption schedule in Table 2, using«ΣΧΥ - ΣΧ ΣΥto find ₁ and Bo=Y - B₁X to find Bo.nΣX - (ΣΧ.)23₁(3) (Optional) Plot the simple regression line and illustrate the deviations of each Y; fromthe corresponding Y₁.(4) For the aggregate consumption-income observation in Table 2, use the results from (2)to compute(b) s(c) s²₁(5) Use the results from (2) to computer for the estimated consumption regression usingthe following methods:MMAT5330 Econometric Principles and Data Analysis(a) √R²(b) r =(c) r =Σ xiyi√[x²√Σy?where x₁ =B₁ΣXi YiΣyX₁ - X, and y₁ = Yį – Y.(6) Derive the following:(a) Starting with ₁«ΣΧΥ - ΣΧ ΣΥ«ΣX - (ΣΧ.)2derive the equation for ₁ in deviationform for the case where X = Y = 0.(b) Determine the value of Bo=Y-B₁X when X = Y = 0.(c) (Optional) Use the results of (a) and (b) to plot the simple regression line on agraph where the variables are measured as deviations from their respective means.Compare this simple regression line with the simple regression line plotted in (3)on the same graph.<

Let's proceed with each question step by step:(1) To draw a scatter diagram, we plot the data points…

Answered: Question 6. Table 2 presents data on…

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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The following table gives the millions of metric tons of carbon dioxide emissions in a certain country for selected years from 2010 and projected to 2032. 2012 2014 2016 2018 2020 CO2 Emissions 338.5 364.5 397.1 423.8 452.1 498.4 Year 2010 Year 2022 2024 2026 2028 2030 CO2 Emissions 557.2 592.9 628.7 662.1 707.1 (a) Create a linear function that models these data, with x as the number of years past 2010 and y as the millions of metric tons of carbon dioxide emissions. (Round all numerical values to two decimal places.) y(x) = 2032 741.7 (b) Find the model's estimate for the 2024 data point. (Round your answer to two decimal places.) million metric tons Interpret the slope of the linear model. For each year since ---Select--- (c) Find the slope of the linear model. (Round your answer to two decimal places.) , carbon dioxide emissions in the U.S. are expected to change by million metric tons.
TABLE 8.1 2016 Marginal Tax Rates, Standard Deductions, and Exemptions Unmaried, diverced, or legally separated Married and ach parteer files eparate tar rete Married and berh partren file single tar retee Unmarried and paying mare than half the cest of sepperting ekildr pareet Married Filing Separately Married Filing Jointly Head of Household Тах Rate Single 10% up to $9275 up to $9275 up to $18,550 up to $13.250 15% $9276 to $37,650 $9276 to $37,650 $18,551 to $75,300 $13,251 to $50,400 25% $37,651 to $91,150 $37,651 to $75,950 $75,301 to $151,900 $50,401 to $130,150 28% $91,151 to $190,150 S75,951 to $115,725 $151,901 to $231,450 $130,151 to $210,800 33% $190,151 to $413,350 SI15,726 to $206,675 $231,451 to $413,350 $210,801 to $413,350 35% $413,351 to $415,050 $206,676 to $233,475 $413,351 to $466,950 $413,351 to $441,000 39.6% mure than $441,000 more than S415.050 more than $233.475 mure than $466,950 Standard Deduction $6300 $600 $12,600 $9300 Exemptions (per person) $4050 S4050…
The following table contains the demand from the last 10 months: MONTH ACTUAL DEMAND 1 31 2 34 3 33 4 35 5 37 6 36 7 38 8 40 9 40 10 41 a. Calculate the single exponential smoothing forecast for these data using an α of 0.30 and an initial forecast ( F1�1 ) of 31. Note: Round your intermediate calculations and answers to 2 decimal places. b. Calculate the exponential smoothing with trend forecast for these data using an α of 0.30, a δ of 0.30, an initial trend forecast ( T1�1 ) of 1, and an initial exponentially smoothed forecast ( F1�1 ) of 30. Note: Round your intermediate calculations and answers to 2 decimal places. c-1. Calculate the mean absolute deviation (MAD) for the last nine months of forecasts. Note: Round your intermediate calculations and answers to 2 decimal places. c-2. Which is best? multiple choice Exponential smoothing with trend forecast Single exponential smoothing forecast
cipate worth S Exercise 2.9.8. [S][Section 2.1][Goal 2.1][Goal 2.5] Counting red blood cells. On page 240 of the April 2011 issue of the Bulletin of the American Mathematical Society Misha Gromov wrote that Erythrocytes are continuously produced in the red bone marrow of large bones... at the rate ~ 2.5 million/second or~ 200 billion/day. Adult humans have 20-30 trillion erythrocytes,~ 5 million/ cubic millimeter of blood. [R54] (a) What is an erythrocyte? (b) Check that 2.5 million/second is about 200 billion/day. (c) Use the numbers in the second sentence to estimate the volume of blood in an adult human, in liters. (d) Check your answer to the previous question with a web search.
Seasonal decomposition. Find the seasonal indexes for Spring, Summer and Fall, based on the data in Table 1.
Table 1. The manager of Carpet City outlet store needs to be able to forecast accurately demand for Soft Shang carpet. Demand for the past 20 weeks appears in table 1 below. week Demand Forecast Error ABS. Dev Squared Error APE 1 20 2 28 3 22 4 18 5 22 6 22 7 22 8 26 9 23 10 23 11 23 12 27 13 25 14 22 15 23 16 14 17 14 18 15 19 11 20 16 21 22 23 24…
An entrepreneur who owns and operates two businesses (A and B) would like to analyze their profitability. They would like your help in the analysis. They give you the annual net profit (in thousands of $) for each business from 2008-2020. Table 1: Annual Net Profits for Businesses A and B Business Year Profit Business Year Profit 2008 -50 2008 -10 2009 57 2009 30 2010 71 2010 27 2011 64 2011 22 2012 60 2012 21 2013 50 2013 20 A 2014 41 2014 24 2015 59 2015 24 2016 71 2016 32 2017 71 2017 36 2018 74 2018 37 019 81 20 40 2020 97 2020 49 a. Suppose you want to graph the distribution of profits. Explain why using only one stem- plot might not be optimal for the analysis. b. Describe the correct stemplot to use. Generate this stemplot. Explain your steps. What can you say about the distribution from this stemplot? c. When are stemplots useful? And why is that? d. Suppose that instead of having 26 observations you have 200 observations. What graph should you generate? e. What other type of…

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