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- '' Setting f'(L) = 0: (2L + L2 - 8) * eL = 0 To find the exact L coordinates, we need to solve the equation (2L + L2 - 8) = 0. The solutions to this quadratic equation will give us the L values for the stationary points. '' why didn't you do a quadratic equation with the eL, why is not (2L + L2 - 8 ) * eL = 0It 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?As a manager of a small software retailing company, you are concerned with projected profit next year. While profit can be determined as the difference between sales and maintenance cost, or in symbols, P = S - M, where P is profit, S is sales, and M is maintenance cost including technical support. It is argues that when sales goes up so does maintenance cost because the cost of technical support will go up. Further, it is measured that the correlation between S and M is 0.8. Now given the figure that sales next year is expected to be $300 thousand with standard deviation of $4 thousand and maintenance cost is expected to be $150 thousand with standard deviation of $6 thousand, what would be the expected profit and its standard deviation you will include in your report?
- Starting with the algebraic and graphical results of Problems 5 and 6, determine algebraically and determine graphically the effect on YE of an autonomous: (a) Increase in X of 200. (b) Increase in I of 200. (c) Increase in X and I of 200. Problem 5 Given C = 100 + 0.8Y, M = 150 + 0.20Y, I = 100, and X = 350: (a) Determine YE algebraically. (b) Show the determination of YE graphically as in the top panel of Figure 17.3. Problem 6 For the same given as in Problem 5, show the determination of YE graphically as in the bottom panel of Figure 17.3.The table below lists the annual volume of exports and imports (in billion pesos) for six consecutive years. Exports (x) 8.3 14.5 17.5 20 22.1 24 Imports M 10 12.2 15 24.8 30.1 32 Estimate the annual imports (in billion pesos) when the annual exports is 15 (in billion pesos).Hello, please help me to solve the question (c) and (d) below.Consider this regression model (1) : Yt = β0 + β1 Ut + β2 Vt + β3 Wt + β4 Xt + εt ; where t= 1, ..., 75.We use OLS to estimate the parameters, producing the following model:Ŷt = 1.115 + 0.790 Ut − 0.327 Vt + 0.763 Wt + 0.456 Xt (0.405) (0.178) (0.088) (0.274) (0.017) Given that:R2 = 0.941; Durbin Watson stat DW = 1.907; RSS = 0.0757.(To answer the question, use the 5% level of significance, state clearly H0 and H1 that are tested, the test statistics that are used, and interpret the decisions.) (a) Describe the concepts of unbiasedness and efficiency. State the conditions required of regression (1) in order that the OLS estimators of the model parameters possess these properties. (b) Perform the following tests on the parameters of regression (1): (i) test whether the parameters β1, β2, β3 and β4 are individually statistically significant; (ii) test the overall significance of the regression model;…
- Q6 Suppose that at time t=0, half of a "logistic" population of 100000 persons have heard a certain rumor and that the number of those who have heard it is then increasing at the rate of 500 persons per day. How long will it take for this rumor to spread to 80% of the population? ( Suggestion: Find the value of k by substituting P(0) and P'(0) in the logistic equation) a. About 98 days b. About 34 days c. About 19 days d. About 69 days e. About 119 daysFor tax purposes, “gross income” is all the money a person receives in a given year from any source. But income taxes are levied on “taxable income” rather than gross income. The difference between the two is the result of many exemptions and deductions. To see how they work, suppose you made $50,000 last year in wages, earned $10,000 from investments, and were given $5,000 as a gift by your grandmother. Also assume that you are a single parent with one small child living with you. a. What is your gross income? b. Gifts of up to $14,000 per year from any person are not counted as taxable income. Also, the “personal exemption” allows you to reduce your taxable income by $4,050 for each member of your household. Given these exemptions, what is your taxable income? c. Next, assume you paid $700 in interest on your student loans last year, put $2,000 into a health savings account (HSA), and deposited $4,000 into an individual retirement account (IRA). These expenditures are all tax exempt,…calculate The constant of a regression of Y on X calculate the what is the value of SSTx what does o^2 stand for in var(B hat1) = o^2/SSTx
- Consider this formula. ?=??z=yx If ?=4.0z=4.0 and ?=9.6y=9.6, what is the value of ?x? Express your answer to the tenths place (i.e., one digit after the decimal point).Given the regression equationY = -50 + 12Xa. What is the change in Y when X changes by +3?b. What is the change in Y when X changes by -4?c. What is the predicted value of Y when X = 12?d. What is the predicted value of Y when X = 23?e. Does this equation prove that a change in X causes a change in Y?Please define all of the following 1-25