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- You have noticed that paying higher wages attracts more productive employees. However, you are concerned that there may be a limit to this relationship. Some experimentation has convinced you that the relationship between wages paid (x) and profits can be modelled by the equation Profit = 25x − 0.1x2 + 200. Use a Nonlinear Solver tool to determine the level of wages that will maximize profits.In the December, 1969, American Economic Review (pp. 886-896), Nathanial Leff reports thefollowing least squares regression results for a cross section study of the effect of age composition onsavings in 74 countries in 1964:log S/Y = 7.3439 + 0.1596 log Y/N + 0.0254 log G - 1.3520 log D1 - 0.3990 log D2 (R2= 0.57)log S/N = 8.7851 + 1.1486 log Y/N + 0.0265 log G - 1.3438 log D1 - 0.3966 log D2 (R2= 0.96)where S/Y = domestic savings ratio, S/N = per capita savings, Y/N = per capita income, D1 = percentage ofthe population under 15, D2 = percentage of the population over 64, and G = growth rate of per capitaincome. Are these results correct? Explain..It is known that the ABC oil company supplies consumers with 150 tons of products per day. The company produces only two types of products - gasoline and diesel fuel. The limiting transformation ratio of diesel fuel relative to gasoline is 0.5. a) Draw a line of the company's monthly production capacity for gasoline and diesel. b) With the advent of new technologies, production increased by 20%, and the availability of gasoline increased by 30%. Explain how the company's new product line differs from the previous one. c) If we put the gasoline production on the X-axis of the graph, what percentage of the slope capacity of the production line is different from the slope ratio of the previous production line?
- The following data relate the sales figures of the bar in Mark Kaltenbach's small bed-and-breakfast inn in portland, to the number of guest registered that week: week guests bar sales 1 16 $330 2 12 $270 3 18 $380 4 14 $315 a) The simple linear regression equation that relates bar sales to number of guests(not to time) is (round your responses to one decimal place): Bar sales = [___]+[___]X guestsConsider the following hypothetical pooled cross-sectional data of daily COVID-19 cases per 1,000 people during the early two months of the pandemic, from March to April 2020 in Ohio and 5 other neighboring states. The variable April takes value 1 if the recorded cases are from April 2020, and takes value 0 if the recorded cases are from March 2020. The variable lockdown takes value 1 if the state put in place a Stay-at-home order beginning from March 2020, and takes value 0 otherwise. Using the difference-in-differences estimator, assess the impact of the lockdown policy on daily COVID-19 cases. Table 1. Daily COVID-19 Cases by State April Cases Lockdown State Indiana 0 2 0 Indiana 1 8 0 0 1 0 1 2 0 Kentucky Kentucky Michigan Michigan Ohio 0 3 0 1 8 0 0 2 1 Ohio 1 4 1 0 4 1 1 7 1 Pennsylvania Pennsylvania West Virginia West Virginia 0 1 1 1 2 1Over the last several decades improvements in computer software, hardware and robotics have dramatically altered the ability of machines to do complex repetitive tasks. Discuss the implications for semi-skilled skilled workersas a result of this improvement. Discuss how the cost of the new technology influences the choice of inputs used in production and the rate of adoption of the new technology. Can you please answer this question so there will be no plagiarism, you have answer for this question in your website, but more likely it is already copied by someone else
- A manufacturer is developing a facility plan to provide production capacity for its factory. The amount of capacity required in the future depends on the number of products demanded by its customers. The data below reflect past sales of its products: Year Annual Sales (number of products) Year Annual Sales (number of products) 1 490 5 461 2 487 6 475 3 492 7 472 4 478 8 458 Use simple linear regression to forecast annual demand for the products for each of the next three (3) years, by using the tabular method to: derive the values for the intercept and slope derive the linear equation plot the linear regression line develop a forecast for the firm’s annual sales for each of the next three yearsGiven the following table, use the matrix method to derive the constant and slope parametersof the sample regression function: Module test mark = f (Weekly study hours). X and Y standfor weekly study hours and module test mark respectively.X (Weekly study hours) Y (Module test mark)1 402 403 454 605 706 75a simple linear regression equation shows the relationship between-
- Please solve question 7 using the data from question 5.In exercise 1, the following estimated regression equation based on 10 observations was presented. y^=29.1270+.5906x1+.4980x2Here SST=6724.125, SSR=6216.375, sb1=.0813, and sb2=.0567. a) Compute MSR and MSE. b) Compute F and perform the appropriate F test. Use α=.05. c) Perform a t test for the significance of β1. Use α=.05. d) Perform a t test for the significance of β2. Use α=.05.Your friend - an artist - has asked you to help her determine how many paintings sized 50x150cm she should paint for sale. She's deciding between one, two, three, or four paintings. Your friend sells the paintings for 300 monetary units each. She spends 8 hours on each painting (1 hour of work = 15 monetary units). Additionally, each painting incurs an extra cost of 40 monetary units (for canvas, backing, paints, brushes, sprays). Based on past data, you estimate that with a probability of 0.2, there will be no potential buyers; with a probability of 0.2, there will be one potential buyer; with a probability of 0.2, there will be two potential buyers; with a probability of 0.3, there will be three potential buyers; with a probability of 0.1, there will be four potential buyers. Assume that if there are fewer paintings produced than potential buyers, some (randomly selected) potential buyers will remain without a painting; otherwise, all potential buyers will purchase exactly one…