B4. A company has collected and smoothened its historical yearly sales data of a product from2015 up to 2021. The following table shows the sales and moving average figures.SalesThree-year movingavcrageYearFive-ycar movingavcrage(S thousands)20152016326.0324.0E367.42017344.02018383.0371.02019B.389.02020398.0D2021428.0Calculate the missing values of4, B, C, D. E and F(Correct to I decimal place).B5. A lottery consists of 49 balls numbered 1 through 49 and 6 of them are drawn at random.(a) You can pick 6 different numbers for a betting ticket. How many selections are possible?(b) If prizes will be paid to those picking 4 to 6 drawn numbers, how many winning selectionsare possible?ర

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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 Seneca Children’s Fund (SCF) is a local charity that runs a summer camp for disadvantaged children. The fund’s board of directors has been working very hard over recent years to decrease the amount of overhead expenses, a major factor in how charities are rated by independent agencies. The following data show the percentage of the money SCF has raised that was spent on administrative and fund-raising expenses over the past seven years: Year Period (t) Expense (%) 2003 1 13.9 2004 2 12.2 2005 3 10.5 2006 4 10.4 2007 5 11.5 2008 6 10.0 2009 7 8.5 a. Construct a time series plot. What type of pattern exists in the data?b. Use simple linear regression analysis to find the parameters for the line that minimizes MSE for this time series.c. Forecast the percentage of administrative expenses for year 8.d. If SCF can maintain its current trend in reducing administrative expenses, how long will it take for SCF to achieve a level of 5% or less?
Shelia's doctor is concerned that she may suffer from gestational diabetes (high blood glucose levels during pregnancy). There is variation both in the actual glucose level and in the blood test that measures the level. A patient is classified as having gestational diabetes if the glucose level is above 140 milligrams per deciliter (mg/dl) one hour after a sugary drink. Shelia's measured glucose level one hour after the sugary drink varies according to the Normal distribution with µ = 124 mg/dl and σ = 13 mg/dl. If a single glucose measurement is made, what is the probability that Shelia is diagnosed as having gestational diabetes?
B4. A company has collected and smoothened its historcal yearly sales data of a product from 2015 up to 2021. The following table shows the sales and moving average figures. Year Sales Three-year moving average Five-ycar moving average (S thousands) 2015 2016 326.0 324.0 E 367.4 2017 344.0 2018 383.0 371.0 E 2019 389.0 2020 398.0 D. 2021 428.0 Calculate the missing values of 4, B, C, D, E and F(Correct to I decimal place).
puestion # 9: The manager of a car plant wishes to investigate how the plant's electricity usage Hepends upon the plant's production. Calculate the relationship between the variab lonth Electricity Usage (Million kWh) Production (Million) January 4.51 2.48 February 3.58 2.26 March 4.31 2.47 April 5.87 2.97 May 5.64 2.99 June 4.99 3.05 July 5.21 3.10 August 5.83 3.46 September 4.70 3.03 October 5.61 3.26 November 5.59 3.67 December 4.20 2.53 a) Determine the equation of least squares regression line. b) Compute the residuals and verify that they add to zero. c) Predict the electricity usage when production is: 5.00 million, 5.98 million
Suppose seafood price and quantity data for the years 2000 and 2009 follow. Use 2000 as the base period. 2000 2000 2009 Seafood Qty. (Ib) Price ($/lb) Price ($/lb) Halibut 75,190 2.01 2.33 Lobster 83,080 3.62 3.09 Tuna 50,779 1.87 1.97 (a) Compute a price relative for each type of seafood. (Round your answers to one decimal place.) Seafood Price Relative Halibut Lobster Tuna (b) Compute a weighted aggregate price index for the seafood catch. (Round your answer to one decimal place.) I2009 %D Comment on the change in seafood prices over the nine-year period. (Enter your percentage as a positive value. Round your answer to one decimal place.) Seafood prices hav v ---Select--- |by % over the 9-year period according to the index. increased decreased
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The total amount of consumer credit has been increasing steadily in recent years. The following table gives the total outstanding consumer credit (in billions of dollars). Answer parts (a) through (e) below Year 2004 2005 2006 2007 2008 Consumer Credit 2250.5 2303.8 2415.0 2517.9 2595.1 Year 2009 2010 2011 2012 2013 Consumer Credit 2551.5 2645.1 2757.0 2926 3 3099 2 a. Find an equation for the least squares line, letting x equal the number of years since 2000. The equation is Y=x (Use integers or decimals for any numbers in the equation Round to two decimal places as needed.)
The euphotic zone is the upper 200 m layer of the oceans. Very little sunlight penetrates deeper than 200 m, so most plants live in the euphotic zone. As a result, 70% of all photosynthesis on Earth occurs in the euphotic zone of the oceans. The following table gives light penetration data for the location in the Pacific Ocean. Depth (m) Penetration of Sunlight (%) 0.01 100 20 54.37 40 29.57 60 16.08 80 8.74 100 4.76 a. Determine the equation of the logarithmic regression by using LOG or LN function on your TI-83 Plus graphic calculator. b. Using your equation obtained from a), determine the depth with a sunlight penetration of 35%. Express your answer to the nearest tenth of meter.
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Suppose seafood price and quantity data for the years 2000 and 2009 follow. Use 2000 as the base period. 2000 2000 Price ($/lb) 2009 Seafood Qty. (Ib) Price ($/lb) Halibut 75,090 2.01 2.33 Lobster 83,180 3.62 3.09 Tuna 50,779 1.87 1.97 (a) Compute a price relative for each type of seafood. (Round your answers to one decimal place.) Seafood Price Relative Halibut Lobster Tuna (b) Compute a weighted aggregate price index for the seafood catch. (Round your answer to one decimal place.) I 2009 - Comment on the change in seafood prices over the nine-year period. (Enter your percentage as a positive value. Round your answer to one decimal place.) Seafood prices have --Select--- v by % over the 9-year period according to the index.
Below is data collected over 6 specific years. The data collected is the Consumer Price Index (CPI) and the cost of a slice of tuna. We would like to build a model using the CPI to predict the cost of a slice of pizza in a given year. Year 1960 1973 1986 1995 2002 2003 CPI (x) 30.2 48.3 112.3 162.2 191.9 197.8 Cost of a slice of tuna(y) 0.15 0.35 1.00 1.25 1.75 2.00 Plot the data. Are we justified in creating a Linear Regression model to predict the price of a pizza slice using the CPI? Why or why not? Calculate the descriptive statistics. Calculate the sums of squares Calculate the slope, intercept, and correlation. What is this correlation value telling us? Assemble the prediction equation, and interpret the slope within the context of the problem. State the hypotheses for the hypothesis test for regression.

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