he table shows the age of a painting (x) in years, and its estimated dollar value (y). x2 y 1,200 1,500 2,400 3,200 4,100 2,500 2,916 3,844 4,225 4,624 ху 60,000 81,000 148,800 208,000 278,800 Exy=776,600 50 54 62 65 68 Ex=299 Ey=12,400 Ex²=18,109 Which regression equation correctly models the data? O y = 41.47x + 0.09 O y = 41.47x + 1,279.93 O y = 153.32x-6,688.54 O y = 153.32x - 6,325.76 %3D
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- A company wants to plan production for the ensuing year so as to minimize thecombined cost of production and inventory storage. In each quarter of the year, demand isanticipated to be 65, 80, 135 and 75 respectively. The product can be manufactured duringregular time at a cost of Php 16 per unit produced, or during overtime at a cost of Php 20 perunit. The given table below shows data pertinent to production capacities. The cost of carryingone unit in inventory per quarter is Php 2. The inventory level at the beginning of the firstquarter is zero.A college bookstore must order books two months before each semester starts. They believe that the number of books that will ultimately be sold for any particular course is related to the number of students registered for the course when the books are ordered. They would like to develop a bestfitting line to predict how many books to order. From past records, the bookstore obtains the number of students registered, X, and the number of books actually sold for a course, Y , for 12 different semesters.A scatterplot of the data along with the best fitting line is presented below. a. The correlation between the two variables is r = .89. Calculate and interpret the value of r2.b. The equation for the best fitting line is Y = 9.30 + 0.673X. Explain and interpret the value of 9.30.c. How many books should the store order for a class of 50 students? Would you trust this prediction?Your company manufactures plastic wrap for food storage. The tear resistance of the wrap, denoted by X, must be controlled so that the wrap can be torn off the roll without too much effort but it does not tear too easily when in use. In a series of tests (see data table below), 15 rolls of wrap are made under carefully controlled conditions and the tear resistance of each roll is measured. The results are used as the basis of a quality assurance specification. If X for a subsequently produced roll falls more than two standard deviations away from the test period average, the process is declared out of specification and production is suspended for routine maintenance. Roll 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 X 134 131 129 133 135 131 134 130 131 136 129 130 133 130 133 Write an Excel spreadsheet to calculate the sample mean and sample standard deviations. The {#1} {#2} a)What…
- A) What is the purpose of the “callout bubble” in the bottom right-hand corner of the graph, showing a tiny red square inside the yellow square? Why do you suppose the author felt the need to use a callout bubble? B) Data from this source show that the rate of symptomatic infection with COVID for people who have been vaccinated is about 100 infections per 102,000 vaccinations. As of July 30, 2021, data show that164,000,000 Americans have been fully vaccinated. How many of these vaccinated Americans would be expected to become infected with COVID and display symptoms? C) Data from this source show that the rate of death from COVID for people who have been vaccinated is about 1 death per 102,000 vaccinations. As of July 30, 2021, data show that 164,000,000 Americans have been fully vaccinated. How many of these vaccinated Americans would be expected to die from COVID?A shoe wholesaler wants to optimize its shipment of shoes to its client retailers. To minimize their turnover time and avoid building up stocks that add costs, the wholesaler wants to know if weather conditions are important in determining the type of shoe demanded. Specifically, she / he would like to know if high temperatures affect the sale of closed, rubber-heeled walking shoes. He / she has the relevant data showing the temperature recorded at the location of its retail shops, as well as their record of sales of these walking shoes, during each day of the past year. What type of analysis should he / she conduct? What variables should be considered? Explain.Give an example of a variable that can be used asinstrumentfor the following endogeneity problems. In eachcase,explain why you think this is a good instrument.i.Y = Demand for Ethanol& X =EthanolPriceii.Y = Earnings & X = Leisure Time
- A survey of 131 investment managers in Barron’s Big Money poll revealed the following:● 43% of managers classified themselves as bullish or very bullish on the stockmarket.● The average expected return over the next 12 months for equities was 11.2%.● 21% selected health care as the sector most likely to lead the market in thenext 12 months.● When asked to estimate how long it would take for technology and telecom stocksto resume sustainable growth, the managers’ average response was 2.5 years.a. Cite two descriptive statistics.b. Make an inference about the population of all investment managers concerning theaverage return expected on equities over the next 12 monthsA survey of 131 investment managers in Barron’s Big Money poll revealed the following:● 43% of managers classified themselves as bullish or very bullish on the stockmarket.● The average expected return over the next 12 months for equities was 11.2%.● 21% selected health care as the sector most likely to lead the market in thenext 12 months.● When asked to estimate how long it would take for technology and telecom stocksto resume sustainable growth, the managers’ average response was 2.5 years.a. Cite two descriptive statistics.b. Make an inference about the population of all investment managers concerning theaverage return expected on equities over the next 12 months.c. Make an inference about the length of time it will take for technology and telecomstocks to resume sustainable growth.A survey of 131 investment managers in Barron’s Big Money poll revealed the following:● 43% of managers classified themselves as bullish or very bullish on the stockmarket.● The average expected return over the next 12 months for equities was 11.2%.● 21% selected health care as the sector most likely to lead the market in thenext 12 months.● When asked to estimate how long it would take for technology and telecom stocksto resume sustainable growth, the managers’ average response was 2.5 years.a. Cite two descriptive statistics.
- Please explain why this statement is true or false:"In the two-period model, both the Current Account and the Trade Balance in period one improve with an anticipated increase in the endowment of period two (ΔQ1=0 and ΔQ2>0)''Use equations of the optimal allocation of consumption in periods 1 and 2, the trade balance in period 1, and the current account in period 1 to support your answer.Assume the following lifetime utility function: U(C1,C2)= ln(C1) +β ln(C2) and the subjective discounting factor is 0<β<1Intergarated products Need to estimate its pc sales for the nextnext year. the most recent six years of revenue data for the companys line of xt personal computers and those of the industry, is found in the table below; Year XT PC Sales (000,000) All Industry PC Sales Revenue 1 2.4 4.6 2 5.9 8.6 3 15.5 10.7 4 27.8 14.8 5 35.9 18.5 6 38.1 19.4 a) Assuming that the sales data above are representative of sales expected next year , use time series regression analysis to forecast next years sales b) determine the correlation correlation for he ime forecast and interpret is meaning c) find the coefficient of determination for the time series forecast and intpret it s meaning d) perform a regression analysis between the annual sales revenues of XT Personal computers and all personal computers if the estimate of next years industry PC sales revenues is $21.9 billion? e) which independent variable should intergrated products coporation IPC choose for its forcasting of sales…