A company is studying the relationship between the mean annual percent return on capital(profitability) (y) and the mean annual percentage sales growth (x) for eight acrospace anddefense companies. The data are summarised as follows:n=8, Σχ=1106, Σv=1399, Στ΄ = 2662.14, Στ’ = 2784.65, Σαν =1897.68(a)(b)(d)Compute the product-moment correlation coefficient for the data. Interpret yourresult.Obtain the least square regression line equation.Calculate the coefficient of determination for the above data and comment on youranswer.Find the value of profitability's percentage when the sales growth is 10 percent.

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Answered: A company is studying the relationship…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Exercise 4. (a) x²(5.7) ~ Gamma(?,?), (b) x²(8) ~ Gamma(?,?), (c) - Gamma(4, 3) ~ x² (?)
An investigation was carried out to study the relationship between speed (ft/sec) and stride rate (number of steps taken/sec) among female marathon runners. Resulting summary quantities includedn = 11, E(speed) = 205.5, E(speed)2 = 3884.08, E(rate) = 35.15, E(rate)2 = 112.691, and E(speed)(rate) = 660.136. (a) Calculate the equation of the least squares line that you would use to predict stride rate from speed. (Round all numerical values to four decimal places.) (b) Calculate the equation of the least squares line that you would use to predict speed from stride rate. (Round all numerical values to four decimal places.) (c) Calculate the coefficient of determination for the regression of stride rate on speed of part (a) and for the regression of speed on stride rate of part (b). (Round your answers to three decimal places.) for part (a) for part (b)
4.) (For Marketing & Sales Analysts-Consultants). Four months after the deliveries of goods were affected by the granular lockdown due to the Covid-19 pandemic, a manufacturer noticed that sales had dropped from 100,000 units per month to 80,000 units. If the sales follow an exponential pattern decline, what will they be after another 4 months? Note: Use the exponential model, y= Cekt, where t is measured in months.
5. Oxygen demand is a term blologists use to describe the axygen needed by fish and other aquatic organisms for survval. The Environmental Protection Agency conducted a study of a wetland area in Marin County, Californla. In this wetland environment, the mean oxygen demand was u=9.9 mg/L, and a= 1.7 mg/L. (Reference: EPA Report 832-R- 93- 005). Let x be a random varlable that represents oxygen demand in this wetland environment. Assume x has a probability distribution that is approximately normal. a. An oxygen demand below 8 mg/L Indicates that some organisms In the wetland environment may be dying. What is the probability that the oxygen demand will fall below 8 mg/L? b. A high oxygen demand can also indicate trouble. An oxygen demand above 12 mg/L may indicate an overabundance of organisms that endanger some types of plant life. What is the probability that the oxygen demand will exceed 12 mg/L?
Metropolitan Hospital has estimated its average monthly bed needs, N, as: N=460+9X�=460+9� where X = time period (months); (January 2002 = 0) Assume that no new hospital additions are expected in the area in the foreseeable future. The following monthly seasonal adjustment factors have been estimated, using data from the past five years: Forecast Metropolitan's bed demand for January, April, July, November, and December 2007. Month Adjustment Factor (%) Forecast January +5 April -15 July +4 November -5 December -25 Suppose the following actual and forecast values for June bed demands have been recorded. Year Forecast Actual 2007 1,045 1,139 2006 937 974 2005 829 895 2004 721 743 2003 613 656 2002 505 515 What seasonal adjustment factor would you recommend be used in making future June forecasts? 2.1% 5.5% 1.3%
mean(log X)= 3.4, Slogx = 0.136 and k=1.2, using the log Pearson Type III distribution. The magnitude of the 10 yr floods is إختر أحد الخيارات cfs 3657.6 .A O cfs 4570.7 .B cfs 2645.7 .CO cfs 1568.7 .DO
If the arrival and departure rates in an M/M/1 queue are 1/2 per minute and 2/3 per minute respectively, find the average waiting time of a customer in the queue.
Log(Wagei) = α + β1Educationi + β2Femalei + β3Non Whitei + β4Educationi × Femalei + εi For males, and holding other variables constant, the regression output from the linear regression model above implies that an extra year of education is associated with what percent change in wages?
The rate of increase of COVID-19 infection is directly proportional to the number of people infected and to the number people not yet infected. An isolated remote barangay of population 10,000 records its first case on June 15, 2020. After two days, 100 people are infected. Develop a model that predicts the number of COVID-19 cases in the barangay. How long will it take for 90% of the population to be infected? Assume that the virus persists in the person infected.
You are an econometrician working in the Ministry of Finance in Trinidad and Tobago and using a database consisting of 108 monthly observations on automobile accidents for Trinidad and Tobago between January 2011 and December 2019, you estimate the following model: log( totacc,) = B, + Bit + B2feb, + ßzmar.. + B12dec, + µe where totacc is the total number of accidents, t is time (measured in months), and feb,, mar,, dec, are dummy variables indicating whether time period t corresponds to the appropriate month. You obtain the following OLS results: Number of obs F( 12, Prob > F df 108 31.06 0.0000 0.7969 Source I MS 95) Model | 1.00244071 Residual | .255496765 12 .083536726 95 .00268944 R-squared Adj R-squared = 0.7712 Root MSE Total | 1.25793748 107 .011756425 - .05186 ltotacc | Coef. Std. Err. t P>It| [958 Conf. Interval] .0024274 -.0912208 .031287 .0027471 .0001611 .0244475 .0244491 17.06 0.000 .0030669 .0058479 .1283621 feb | -.0426865 mar | apr | may | jun | jul | aug | sep I oct I…
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According to recent data the survival function for life after 63 is approximately given by S(x) = 1-0.052x-0.078x² where x is measured in decades. This function gives the probability that an individual who reaches the age of 63 will live at least x decades (10x years), longer. a. Find the median length of life for people who reach 63, that is, the age for which the survival rate is 0.50. ye years (Round to the nearest whole number as needed.)

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