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Using Technology In Exercises 23-26, (a) use a graphing utility to create a
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College Algebra
- What situations are best modeled by a logistic equation? Give an example, and state a case for why the example is a good fit.arrow_forwardUse an exponential model for this data and do it by hand and state why it is better to use exponential over linear and also state the limitations of the model you designed.arrow_forwardPlease give me answer very fast in 5 min anuarrow_forward
- Violent crime rates in the United States are shown in the table for various years. Year Number of Violent Crimes per 100,00 people 1990 730 1995 685 2000 507 2005 469 2009 432 2016 386 (a) Find a linear model for f(a). Round all numbers to 3 decimal places.arrow_forwardPart CUse a calculator to find an exponential regression model, of the formA(t) = a ⋅ bt, that best fits each set of dataarrow_forwardThe data in the given Table indicate that between the ages of 1 and 11, the human brain does not grow linearly, or steadily. A scatter plot for the data is shown in the given Figure. What type of function would be a good choice for modeling the data?arrow_forward
- Does the rule y=-2-2 represent a linear or ari exponential function? OA exponential B. linear Review progressarrow_forwardThe data in the following table indicate that between the ages of 1 and 11, the human brain does not grow linearly, or steadily. A scatter plot for the data is shown below the table. The graphing calculator screen to the right displays the percentage of an adult brain, y, for a child at age x, where 1 sxs11. Use this information to complete parts (a) through (c) below. LnReg y = a+b ln x a = 29.67892724 b= 29.78535801 E Click the icon to view the table. W Click the icon to view the scatterplot. a. Explain why a logarithmic function was used to model the data. Choose the correct answer below. O A. The data increase rapidly and then continue to increase even more rapidly. B. The data increase at a steady rate. OC. The data increase rapidly and then begin to decrease. D. The data increase rapidly and then begin to level off. b. Use the graphing calculator screen to express the model in function notation, with numbers rounded to the nearest whole number. f(x) = (Type an expression using x…arrow_forwardDefine the process of mathematical modelling?arrow_forward
- solve a,b,c and d given in the image provided.arrow_forwardA researcher investigating the factors related to a country's economic growth between 2005 and 2010 estimates the following model for a sample of countries (using cross sectional data): GROWTH = a + b × GDPH2005 + cx INV + d x EDUC + ex RIGHTS + fx ELEC where: GROWTH is the country's economic growth (percent change of GDP per person at constant prices between 2005 and 2010); GDPH2005 is the log of the country's level of GDP per person in 2005 (US$ at 2005 prices); INV is the country's share of gross investment in fixed capital (Gross Fixed Capital Formation) as a percentage of GDP in 2005; EDUC is an indicator of the level of education of the population (total enrolment in secondary schools as a % of population aged 15 and over); RIGHTS is an indicator of the strength of legal rights (0=weak to 12-strong); ELEC is the percentage of population who have access to electricity; The results of the estimation are: Variables GDPH2005 INV EDUC RIGHTS ELEC Constant INV RIGHTS ELEC EDUC…arrow_forwardUse Excel to develop a regression model for the Consumer Food Database (using the “Excel Databases.xls” file on Blackboard) to predict Annual Food Spending by Annual Household Income for those living in the Metro area only. Suppose a household in the metro area has an annual income of $60,000. Predict how much they spend on food per year. Write your answer as a number (do not include the $ sign or comma) and round to 2 decimal places Annual Food Spending ($) Annual Household Income ($) Non mortgage household debt ($) Region: 1 = NE 2 = MW 3 = S 4 = W Location: 1 = Metro 2 = Outside Metro 8909 56697 23180 1 1 5684 35945 7052 1 1 10706 52687 16149 1 1 14112 74041 21839 1 1 13855 63182 18866 1 1 15619 79064 21899 1 1 2694 25981 8774 1 1 9127 57424 15766 1 1 13514 72045 27685 1 1 6314 38046 8545 1 1 7622 52408 28057 1 1 4322 41405 6998 1 1 3805 29684 4806 1 1 6674 49246 13592 1 1 7347 41491 4088 1 1 2911 26703 15876 1…arrow_forward
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