In the competition equation of population growth, why do we need to include competition coefficients?
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A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.
In the competition equation of population growth, why do we need to include competition coefficients?
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- Profitability remains a challenge for banks and thrifts with less than $2 billion of assets. The business problem facing a bank analyst relates to the factors that affect return on assets (ROA), an indicator of how profitable a company is relative to its total assets. Data collected from a sample of 20 community banks include the ROA (%), the efficiency ratio (%), as a measure of bank productivity (the lower the efficiency ratio, the better), and total risk-based capital (%), as a measure of capital adequacy. Complete parts (a) through (g) below. Click the icon to view the data table. a. State the multiple regression equation. Let X₁, represent the efficiency ratio (%) and let X₂; represent the total risk-based capital (%). Ý TO DX DX = + + (Round the constant to two decimal places as needed. Round the coefficients to four decimal places as needed.) Distribution Costs ROA (%) 1.13 1.22 0.82 1.15 0.81 1.23 0.67 1.35 0.95 0.71 0.69 1.10 0.87 1.02 0.86 1.74 1.02 1.76 0.90 0.68 Efficiency…Profitability remains a challenge for banks and thrifts with less than $2 billion of assets. The business problem facing a bank analyst relates to the factors that affect return on assets (ROA), an indicator of how profitable a company is relative to its total assets. Data collected from a sample of 20 community banks include the ROA (%), the efficiency ratio (%), as a measure of bank productivity (the lower the efficiency ratio, the better), and total risk-based capital (%), as a measure of capital adequacy. Complete parts (a) through (g) below. Click the icon to view the data table. a. State the multiple regression equation. Let X₁¡ represent the efficiency ratio (%) and let X₂¡ represent the total risk-based capital (%). Ŷ₁=+X₁₁+Xzi (Round the constant to two decimal places as needed. Round the coefficients to four decimal places as needed.) Distribution Costs ROA (%) 1.04 0.77 0.14 1.44 0.90 1.16 1.07 1.58 1.45 1.15 1.17 3.40 0.86 0.66 0.81 1.14 0.83 0.86 1.14 1.04 TOlal Efficiency…You are part of a government task force evaluating whether new models of cars will meet fuel efficiency standards set out by the newly signed climate bill. You have run an ANCOVA model that predicts fuel efficiency (in miles per gallon) as a function of vehicle weight (measured in thousands of lbs, where a value of 2.5 would correspond to 2,500 lbs), horsepower, and number of cylinders in the car (cylinders is a factor in this model with 3 levels: 4 cylinders, 6 cylinders, and 8 cylinders). Your analysis tells you the following; The mean miles per gallon of all cars analyzed is 20.09 The mean weight of all cars analyzed is 3.217 thousand lbs The mean horsepower of all cars analyzed is 146.7 The regression coefficient for weight is -3.18 miles per gallon per additional thousand lbs The regression coefficient for horsepower is -0.023 miles per gallon per additional unit of horsepower Cars with 4 cylinders get 2.13 more miles per gallon, on average, than the average car Toyota is…
- Profitability remains a challenge for banks and thrifts with less than $2 billion of assets. The business problem facing a bank analyst relates to the factors that affect return on assets (ROA), an indicator of how profitable a company is relative to its total assets. Data collected from a sample of 73 community banks include the ROA (%), the efficiency ratio (%), as a measure of bank productivity (the lower the efficiency ratio, the better), and total risk-based capital (%), as a measure of capital adequacy. Use the accompanying multiple linear regression results to complete parts (a) and (b) below. Variable Coefficient Standard Error 0.30408 0.00539 -0.24116 0.01953 0.04922 0.01517 Intercept Efficiency Ratio, X₁ Risk-Based Capital, X₂ t Statistic - 0.79 3.62 3.24 (Round to four decimal places as needed.) p-value 0.4304 0.0005 0.0018 C a. Construct a 95% confidence interval estimate of the population slope between ROA and efficiency ratio.Total DVD and Blu-ray disc sales in 2009 were $8.72 billion. For the purposes of this problem, you will combine DVD and Blue-ray disk sales into one category of DVD sales. A study by In-Stat predicted that "physical disc sales will decline by $4.7 billion by 2014," and that "streaming, on the other hand, should grow from its current $2.2 billion to $6.3 billion over the same time period (2009–2014). d. Write an equation that represents the linear model for streaming videos. Let S = the total sales of streaming videos in billions of dollars, and t = the number of years after 2009. e. In what year do the models predict streaming video sales to exceed DVD sales?Total DVD and Blu-ray disc sales in 2009 were $8.72 billion. For the purposes of this problem, you will combine DVD and Blue-ray disk sales into one category of DVD sales. A study by In-Stat predicted that "physical disc sales will decline by $4.7 billion by 2014," and that "streaming, on the other hand, should grow from its current $2.2 billion to $6.3 billion over the same time period (2009–2014) a. What is the slope, including units, of the model for DVD sales? Write a statement interpreting the meaning of the slope in the context of the problem. b. Write an equation that represents the linear model for DVD sales. Let D = the sales of DVDs in billions of dollars, and t = the number of years after 2009. c. What is the slope, including units, of the model for streaming videos?
- What is an economic model? Discuss the relevance of models to economic analysisIntergarated products Need to estimate its pc sales for the nextnext year. the most recent six years of revenue data for the companys line of xt personal computers and those of the industry, is found in the table below; Year XT PC Sales (000,000) All Industry PC Sales Revenue 1 2.4 4.6 2 5.9 8.6 3 15.5 10.7 4 27.8 14.8 5 35.9 18.5 6 38.1 19.4 a) Assuming that the sales data above are representative of sales expected next year , use time series regression analysis to forecast next years sales b) determine the correlation correlation for he ime forecast and interpret is meaning c) find the coefficient of determination for the time series forecast and intpret it s meaning d) perform a regression analysis between the annual sales revenues of XT Personal computers and all personal computers if the estimate of next years industry PC sales revenues is $21.9 billion? e) which independent variable should intergrated products coporation IPC choose for its forcasting of sales…An entrepreneur who owns and operates two businesses (A and B) would like to analyze their profitability. They would like your help in the analysis. They give you the annual net profit (in thousands of $) for each business from 2008-2020. Table 1: Annual Net Profits for Businesses A and B Business Year Profit Business Year Profit 2008 -50 2008 -10 2009 57 2009 30 2010 71 2010 27 2011 64 2011 22 2012 60 2012 21 2013 50 2013 20 A 2014 41 2014 24 2015 59 2015 24 2016 71 2016 32 2017 71 2017 36 2018 74 2018 37 019 81 20 40 2020 97 2020 49 a. Suppose you want to graph the distribution of profits. Explain why using only one stem- plot might not be optimal for the analysis. b. Describe the correct stemplot to use. Generate this stemplot. Explain your steps. What can you say about the distribution from this stemplot? c. When are stemplots useful? And why is that? d. Suppose that instead of having 26 observations you have 200 observations. What graph should you generate? e. What other type of…
- Coconut groove claims it's still the best in Ghana despite stiff competition from fiesta royal, La palm and others. It has embarked on a price restructuring and adverts to boost demand for the coming year. It has a number of meals served which is regressed against average price per meal( P in GHS), Competitors price( P in GHS ), adverts in each outlet immediate service area (A in GHS), the average income per household in each outlet service area (Y in GHS). Use this information to answer the questions below. Q P PC A Y Q 1.00 P -0.73 1.00 PC 0.41 -0.11 1.00 A 0.31 -0.08 0.43 1.00 Y 0.38 0.03 -0.19 -0.20 1.00 1. Which three pairs of variables are perfectly correlated. 2. Which the three pairs of variables are maybe mostly strongly correlated with the response variable. 3. Which three pairs of variables I may be mostly multicollinear. 4. Which three pairs of variables are least multicollinear. 5. Which three pairs of variables are…Section 3.2 (35) Six years ago, I invested some money in Dracubunny Toy Co. stock, acting on the advice of a “friend.” As things turned out, the value of the stock decreased by 5% every 4 months, and I discovered yesterday (to my horror) that my investment was worth only $297.91. How much did I originally invest?We are analyzing the effects of regime type on corruption with the following model: Corruption = 10 - 0.1GDPpc - 2.0Democracy where Corruption is an index of corruption, GDP (per capita) is measured in thousands of dollars, and Democracy is a dummy variable that is equal to one if a country is a democracy and 0 otherwise. What is the predicted corruption index of a democratic country with a per capita GDP of $44,000? Enter your answer with one decimal place.