2.9. Based on price statistics of 26 properties sold (Y USD/m² ) linear correlation coefficients were calculated with potential explanatory variables X,,X3,X3,X4. Vector Ro and matrix R are listed below 0,3 0,6 0,5 1 Ro R = -0,7 0,6 0,6 1 [- 0,4_ [0,8 0,8 0,7 1] The critical value of the linear correlation coefficient was assumed to be r*=0, 55. Perform the selection of explanatory variables for the model using the correlation coefficient analysis method.
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- Plastic cups are made by forming of raw plastic. The price of plastic is 4.500 OMR per kg and the price of plastic cups is 13 OMR per 1000 cups. Plant requires differ- ent machine which cost about 50,000 OMR, but the machines has to be imported, after paying 25% as customs duty. On a graph paper, draw a freehand graph and represent all important parameters. Due to increase in plastic price, the break-even quantity has increased by 10%. Find out the new plastic price?I- Demand for a product is estimated to be Q=960 - 1.2P + 1.4Y +.003A where, Q and P are the quantity and price of the product respectively, Y is income, and A is the advertising expenditures. All the variables are in the natural logarithmic form and all the estimated coefficients are statistically significant. The average annual sale and the average price of the product are 60000 units and $8000 respectively. A. Price elasticity of demand is -------------, income elasticity of demand is ---------, advertising elasticity of demand is B. The optimum level of advertising spending for the firm isA large company in the communication and publishing industry hs quantified the relationship between the price of one of its products and the demand for this product as Price = 160 -0.01 xDemand for an annual printing of this particular product. The foxed costs per year (ie. per printing) = $4T 000 and the variable cost per unit = $35. What is the maximum profit that can be achieved? What is the unit price at this point of optimal demand? Demand is not expected to be more than 7,000 units per year. The maximum profit that can be achieved is S. (Round to the nearest dolar.) The unit price at the point of optimal demand is S per unit (Round to the nearest cent)
- The table to the right contains price-demand and total cost data for the production of projectors, where p is the wholesale price (in dollars) of a projector for an annual demand of x projectors and C is the total cost (in dollars) of producing x projectors. Answer the following questions (A) - (D). (A) Find a quadratic regression equation for the price-demand data, using x as the independent variable. X 270 360 520 780 The fixed costs are $. (Round to the nearest dollar as needed.) ITTI y = (Type an expression using x as the variable. Use integers or decimals for any numbers in the expression. Round to two decimal places as needed.) Use the linear regression equation found in the previous step to estimate the fixed costs and variable costs per projector. The variable costs are $ per projector. (Round to the nearest dollar as needed.) (C) Find the break even points. The break even points are (Type ordered pairs. Use a comma to separate answers as needed. Round to the nearest integer as…1. A Travel-Cost Method Now it is time for your first consulting job as an environmental economist. The Forest Service would like to know whether they should preserve some national forest land, previously slated to be logged, for hiking. You are helping do a travel-cost analysis to estimate the annual benefits of hiking in this area. Survey data has been gathered from 500 hikers who visited the forest last year. This forest did not charge an entrance fee. Using a statistical technique called regression analysis, you have controlled for differences in income, employment status, age, and other important factors that might affect the number of hiking trips taken. Taking these factors into account, you have developed the following relationship: Zone 1 2 3 Population in zone 1,000 3.000 2,000 Cost Per Hiking Trip Per Person 20 40 80 Hiking Trips Taken Per Zonal Person Per Year 8 6 2 where cost includes gas, tolls, fares, hotels, entry fees, and the value of time spent traveling. a. Graph a…1. A Travel-Cost Method Now it is time for your first consulting job as an environmental economist. The Forest Service would like to know whether they should preserve some national forest land, previously slated to be logged, for hiking. You are helping do a travel-cost analysis to estimate the annual benefits of hiking in this area. Survey data has been gathered from 500 hikers who visited the forest last year. This forest did not charge an entrance fee. Using a statistical technique called regression analysis, you have controlled for differences in income, employment status, age, and other important factors that might affect the number of hiking trips taken. Taking these factors into account, you have developed the following relationship: Zone Population in Cost Per Hiking Hiking Trips zone Trip Per Person Taken Per Zonal Person Per Year 1 1,000 2 3,000 3 2,000 20 8 40 6 80 2 where cost includes gas, tolls, fares, hotels, and the value of time spent traveling. a. Graph a linear…
- Windies Cricket manufactures Windies supporter jerseys. The quantity q, of thesejerseys demanded weekly is related to the wholesale price per jersey p, by thefollowing equation:? = −0.006? + 15The weekly total cost incurred by Windies Cricket for producing q jerseys is:?(?) = 38? − 0.02?2 + 30,000a. Determine an expression to represent the weekly Revenue functionb. Determine an expression to represent the weekly Profit function.c. Calculate the weekly Revenue when ten dozen jerseys are produced and sold.d. Will Windies Cricket record a loss or profit if they were to produce and sell 2450jerseys?e. If Windies Cricket wishes to maintain a total cost less than $42,000.00, whatrange(s) of Windies jerseys should be produced. f. Calculate the equilibrium price and quantity for Windies jerseys.Assign the figure with the correct correlation coefficients. Possible coefficients: 0.99, 0.58, -0.10, -0.63 Graph A 14 12- 10- 14 Graph B 12- 8- 10- 8. 0- 4- -2 -4- -6- -8 0- 4 8. 14 Graph C 12- 2 Graph D 10- 8- -2- 6- -4- 4- -6- 24 -8- -10- 8 2. 642Suppose that sales revenue (S) depends upon the quantity of advertising (A), in a relationship estimated as: S= 14 + 16A-2A2 Task: how many unit of advertising should be undertaken to maximize sales?
- The regression equation Netincome = 2,049 +.0478 Revenue was estimated from a sample of 100 leading world companies (variables are in millions of dollars). (0-1) If Revenue = 1, then Netincome = (a-2) Choose the correct statement. (b) Choose the right option. (c) O Increasing the revenue raises the net income. Decreasing the revenue raises the net income. O Increasing the revenue lowers the net income. million. (Round your answer to 2 decimal places.) O The intercept is not meaningful because a firm cannot have net income when revenue is zero. The intercept is meaningful because a firm can have net income when revenue is zero. If Revenue = 24,574, then NetIncome = million. (Round your answer to the nearest whole number.)A student prepared the following spreadsheet model to calculate the final price of clothing items which are sold at a discount. To be complete, the student included a calculation of sales tax in the final price, given the original price (180), discount (0.2), and sales tax rate (0.09) shown below. A B 1 2 Original Price 180 3 Discount(%) 0.2 4 Discount ($) = B2 × B3 5 Net Price = B2 − B4 6 Sales Tax(%) 0.09 7 Sales Tax($) = ROUND(B5 × B6,2) 8 Final Price = ROUND(B5 + B7,2) Determine what values the spreadsheet should display. (Round your answer to 2 decimal places.)The multivariate demand function below will be needed for questions 12-18. Setting: Grapple, Inc. is a leading seller of laptop personal computers. However, they want to become a leading tablet seller, too. Your marketing department, aided by your economics staff, has estimated a function to help you in the quest for market leader in tablets. The variables are defined after the function. Qg = 10000 - 25Pg + 20Ph + 30Pr - 15dv - 35Psc - 10Pmm + 0.05Ag + 0.03A -25C + 0.1Y Qg = the number of Grapple tablet computers demanded per week. Pg = the price of each new Grapple tablet (in $). Ph = the price of each Hewpaq tablet (in $). Pr = the price of each Ronova tablet. Pdv = the price to equip a tablet with Holographic digital video (in $, this is an upgrade option that enables three-dimensional graphics on a tablet. Two-dimensional graphics is standard equipment). Psc = the price of various screen sizes (in $, a 8 inch is standard, but upgrade options are 10…