←The graphs show the percentage of high school seniors who had ever used alcohol or marijuana.The data can be described by the following mathematical models, where n is the number of yearsafter 1990, A is the percentage of seniors using alcohol, and M is the percentage of seniors usingmarijuana..A=0.9n+ 56M= -0.5n +31***PercentageAlcohol and Marijuana Use by HighSchool Seniors80+70-60-50-40-30+20-10-Alcohola. Use the appropriate line graph to estimate the percentage of seniors who had ever used marijuana in 2019.Marijuana0+1990 1995 2000 2005 2010 2015 2019Year

The data of percentage of high school seniors who had ever used alcohol or marijuana is givennow we…

Answered: The graphs show the percentage of high…

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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Pa.n.n
Companies in the U.S. car rental market vary greatly in terms of the size of the fleet, the number of locations, and annual revenue. In 2011, Hertz had 320,000 cars in service and annual revenue of approximately $4.2 billion. Suppose the following data show the number of cars in service (1,000s) and the annual revenue ($ millions) for six smaller car rental companies. Cars Revenue Company (1,000s) ($ millions) Company A 11.5 120 Company B 10.0 137 Company C 9.0 102 Company D 5.5 39 Company E 4.2 40 Company F 3.3 30 (a) Develop a scatter diagram with the number of cars in service as the independent variable. 160 T 160- 1601 140 140 140 120- E 120- 120- 100 100 100- 80 80 80 CO 60 60 60 40 40 40 20 20 20- 6 8 10 12 14 4 6 8 10 12 14 Cars in Service (1,000s). ● 4 6 8 10 12 14 Cars in Service (1,000) 4 Cars in Service (1,000) Ⓡ 0 4 6 8 10 14 O Cars in Service (1,000) (b) What does the scatter diagram developed in part (a) indicate about the relationship between the two variables? O There…
The electric power consumed each month by a chemical plant is thought to be related to the average ambient temperature x1, the number of days in the month x2, the average product purity x3, and the tons of product produced x4. The past year's historical data are available and are presented in the following table. 240 25 24 91 100 236 31 21 90 95 290 45 24 88 110 274 60 25 87 88 25 26 25 301 65 91 94 316 72 94 99 300 80 87 97 84 75 296 25 86 96 267 24 88 110 276 60 25 91 105 288 50 38 25 23 90 100 261 89 98 If y= ao+a1X1 +a2x2+Q3X3+Q4X4 represents the regression model. What is the value of a2? Use 2 decimal places.
The graphs show the various temperatures for the month of January in 2 cities. Which city has a higher variability of their January temperature?
2. The number of public branch libraries in the United States for several years is given in the table: Year Public Library Branches G500 1994 6223 1995 6172 1996 Branches 6205 1997 6332 1998 6435 a. Graph the data b. Find an equation for a model of these data. Year b. Using your model, estimate the number of branch libraries in 2000 c. Use the graph to estimate in what year(s) there are 6500 branch Libraries
You have the following data: Student A took 2 courses in the Fall semester. His previous CGPA was 3.2. He received GPA 3.5 in the Fall semester. Student B took 5 courses in the Fall semester. Her previous CGPA was 3.9. She received GPA 3.6 in the Fall semester. Student C took 4 courses in the Fall semester. His previous CGPA was 3.6. He received GPA 3.4 in the Fall semester. Using this data, we'll try to build a model using Least Square approximation, that can predict the CGPA of a student in the Fall semester given the number of courses s/he took in Fall, and his/her previous CGPA. (In real life, we'd use many more parameters, but for the sake of the quiz, we are keeping things simple.) The model is as follows - wi x (number of courses) + wz x (previouos CGPA) = GPA in Fall Find the values of wi, and wz using Least Square approximation. (Round off up to 3 decimal points) w, is equal to - wz is equal to - If a student took 4 courses in Fall, and his previous CGPA was 3.7, what would be…
Should this table be graphed as linear,quadratic or exponential?
Data in the table comes from the NASA Global Climate Change website. It gives the average globaltemperature, in Celsius, for the given year. Use both rows for your calculations. For this problem, youwill see how well year correlates with the average temperature. Let ? be the number of years since1984 and ? be the average global temperature in degrees Celsius.Year 1984 1986 1988 1990 1992 1994 1996 1998 2000Temp 0.16 0.18 0.38 0.45 0.22 0.31 0.33 0.61 0.40Year 2002 2004 2006 2008 2010 2012 2014 2016 2018Temp 0.63 0.54 0.64 0.54 0.72 0.64 0.75 1.02 0.85a. Make a scatterplot of the data. Being sure to clearly label each axis. Keep in mind howeach variable is defined. Based on this scatterplot, is a linear model reasonable for this data set?Briefly explain.b. Determine the correlation coefficient for this data. Interpret this value in context.c. Determine the coefficient of determination for this data. Interpret this value incontext.d.State the regression line for the data.e. What does the…
The double bar graph shown below represents the number of vegetables harvested in July and August by one familly. For which vegetable was the number harvested in July closest to the number harvested in August? Number of Vegetables Harvested O Carrots O Com O Peppers O Potatoes O Cucumbers 40 35 30 25 20 15 10 Carrots Corn Peppers Potatoes Cucumbers July August
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…

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