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- How would you calculate equilibrium values for the fraction of sites occupied in a mainland-island metapopulation?Throughout the 20th century, a huge amount of water has been diverted from the Colorado river in the US for irrigation purposes, leaving the remaining river much higher in salinity. This water has oftenbeen saline enough that it is useless to Mexico for irrigation purposes. 49 water samples are collected salinityppm 1 148.51 2 144.91 3 144.96 4 148.55 5 145.8 6 143.84 7 146.78 8 146.11 9 146.41 10 147.21 11 145.62 12 147.75 13 145.94 14 147.1 15 148.7 16 147.31 17 145.72 18 148.81 19 148.49 20 147.55 21 146.9 22 145.08 23 149.26 24 145.14 25 150.99 26 149.62 27 145.91 28 144.24 29 144.91 30 146.94 31 145.88 32 145.67 33 144.4 34 146.31 35 144.75 36 142.9 37 145.6 38 148.33 39 145.19 40 147.68 41 143 42 146.28 43 147.49 44 147.03 45 146.62 46 145.05 47 144.62 48 144.25 49 146.65 (a) To remedy this issue, Congress has passed a law that the salinity of the Colorado river as it passes…Two pumps capable of delivering 100 hp to an agricultural application are being evaluated in a present economy study. The selected pump will only be utilized for one year, and it will have no market value at the end of the year. Pertinent data are summarized as given follows. If electric power costs $0.10 per kWh and the pump will be operated 4,000 hours per year, which pump should be chosen? Recall that 1 hp = 0.746 kW.
- 1.Suppose that the weight of a type of organism is governed by a power law relationship with its length from snout to tail and the thickness of its central vertebraeA chemical reaction is run 12 times, and the temperature xi (in °C) and the yield yi (in percent of a theoretical maximum) is recorded each time. The following summary statistics are recorded: x⎯⎯=65.0, y⎯⎯=29.03,∑ni=1(xi−x⎯⎯)2=6032.0,∑ni=1(yi−y⎯⎯)2=835.42,∑ni=1(xi−x⎯⎯)(yi−y⎯⎯)=1988.6x¯=65.0, y¯=29.03,∑i=1n(xi−x¯)2=6032.0,∑i=1n(yi−y¯)2=835.42,∑i=1n(xi−x¯)(yi−y¯)=1988.6 Let β0 represent the hypothetical yield at a temperature of 0°C, and let β1 represent the increase in yield caused by an increase in temperature of 1°C. Assume that assumptions 1 through 4 for errors in linear models hold. Find a 95% prediction interval for the yield of a particular reaction at a temperature of 40°C. Round the answers to three decimal places. The 95% prediction interval is ( , ).A chemical reaction is run 12 times, and the temperature xi (in °C) and the yield yi (in percent of a theoretical maximum) is recorded each time. The following summary statistics are recorded: x⎯⎯=65.0, y⎯⎯=29.03,∑ni=1(xi−x⎯⎯)2=6032.0,∑ni=1(yi−y⎯⎯)2=835.42,∑ni=1(xi−x⎯⎯)(yi−y⎯⎯)=1988.6x¯=65.0, y¯=29.03,∑i=1n(xi−x¯)2=6032.0,∑i=1n(yi−y¯)2=835.42,∑i=1n(xi−x¯)(yi−y¯)=1988.6 Let β0 represent the hypothetical yield at a temperature of 0°C, and let β1 represent the increase in yield caused by an increase in temperature of 1°C. Assume that assumptions 1 through 4 for errors in linear models hold. Compute the error variance estimate s2. Round the answer to three decimal places.
- A chemical reaction is run 12 times, and the temperature xi (in °C) and the yield yi (in percent of a theoretical maximum) is recorded each time. The following summary statistics are recorded: x⎯⎯=65.0, y⎯⎯=29.03,∑ni=1(xi−x⎯⎯)2=6032.0,∑ni=1(yi−y⎯⎯)2=835.42,∑ni=1(xi−x⎯⎯)(yi−y⎯⎯)=1988.5x¯=65.0, y¯=29.03,∑i=1n(xi−x¯)2=6032.0,∑i=1n(yi−y¯)2=835.42,∑i=1n(xi−x¯)(yi−y¯)=1988.5 Let β0 represent the hypothetical yield at a temperature of 0°C, and let β1 represent the increase in yield caused by an increase in temperature of 1°C. Assume that assumptions 1 through 4 for errors in linear models hold. Find 95% confidence intervals for β0 and β1. Round the answers to three decimal places. The 95% confidence interval for β0 is ( , ). The 95% confidence interval for β1 is ( , ).The general perception is that the manufacturer of the product can reduce the cost required to manufacture a single product by increasing the number of manufactured products. The following material lists the quantities of products produced by one manufacturer and the corresponding costs per product. Material: nro of products 10 20 50 100 150 200 manufacturing cost per product 9.4 9.2 9.0 8.5 8.1 7.4 a) Calculate the forecast for the product-specific manufacturing cost when a batch of 125 products has been ordered from the manufacturer.b) Estimate the variance parameter σ2 of the linear model in point a.c) Calculate the 99 percent prediction interval for the manufacturing cost per product when a batch of 110 products is ordered from the manufacturer.Refer to the following morbidity and mortality statistics for Community X for 2008. Total One-Year Population: 250,000 Population of Women 15-44: 75,000 Number of live births: 6,000 Total Deaths: 2,260 Number of infant deaths: 120 Deaths from heart disease: 222 Deaths from Cancer: 115 Deaths from Stroke: 90 Number of persons diagnosed with cancer 10,500 Calculate the following: Infant Mortality Rate _____________________________________ Prevalence of cancer for 2008 _____________________________ Crude Death Rate ______________________________________ Cause-specific mortality rate for stroke…
- A firm produces bolts whose length x is normally distributed with a Me = 78.3 mm and a SD = 1.4mm. If any bolt longer than 80mm has to be discarded, what proportion of the firm's production will be lost?a) If the prevalence rate is 50%, the sensitivity is 85%, and the specificity is 90%, what will the PPV value be? b) What are possible slider values that will produce a PPV value of 1? c) What are possible slider valuse that will produce an NPV value of 1? d) If sensitivity and specificity remain constant while prevalence decreases, what effect does that have on the PPV? e) If prevalence and specificity remain constant while sensitivity increases, what effect does that have on the NPV?The snowboard industry has the following labour supply is ES = 150 + 10w and labour demand is ED = 350 – 10w, where E is the level of employment in 1,000s of workers and w is the hourly wage. If the labour market is competitive, then what is the equilibrium wage and employment? What is the unemployment rate? Let's pretend the government asks you to examine the impact of implementing a minimum hourly wage of $12. What would happen to the employment level? How many additional workers would want a job at the minimum wage? What is the unemployment rate? If the labour market is competitive, then what is the equilibrium wage and employment? What is the unemployment rate? Let's pretend the government asks you to examine the impact of implementing a minimum hourly wage of $12. What would happen to the employment level? How many additional workers would want a job at the minimum wage? What is the unemployment rate?
