2.Researchers monitoring the numbers of wolves and rabbits in a wildlife reservethink that the wolf population depends on the rabbit population since wolvesprey on rabbits. Over the years, the researchers collected the following data.Year1994 1995 1996Rabbit Population 61 72 78Wolf Population 26 33 421997 1998 1999 2000 200139 4376 65 5449 37 3024 19a) Calculate the equation of the line of best fit (LOBF). Use 2 decimal places for your slope andy-intercept.X (rabbit population)y (wolf population)xyX²6126723378427649655439Ex|4337302419ΣΥExyb) Does this data support the researchers' theory? Explain.[x²

Given data, Researchers monitoring the number of wolves and rabbits in a wildlife reserve think that…

Answered: 2. Researchers monitoring the numbers…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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The table and scatter plot show the number of years of experience, x, and the hourly pay rate, y, for each of 10 cashiers in Arizona. The equation of the line of best fit is y = 0.9xr+8.22. Experience, x Hourly pay rate, y (in years) 22 (in dollars) 20+ 0.8 7.47 18- 1.1 9.46 +16- Hourly 2.2 8.91 14+ pay rate 3.1 11.46 (in dollars) 124 10 3.8 12.31 3.8 13.00 6- 5.0 14.50 6.9 12.40 8.5 15.44 10 10 11 8.8 15.79 Experience (in years) Use the equation of the line of best fit to fill in the blanks below. Give exact answers, not rounded approximations. Observed hourly pay Predicted hourly pay Number of years Residual (in dollars) rate rate of experience (in dollars) (in dollars) 5.0 6.9
In 1992, the cost of the operating system for a computer was $50, and in 1998 the cost was $100. Using 1990 as t = 0, derive the linear relationship between the year and cost of the software. your answers to the nearest hundredth. The y-intercept means that in the year ------the cost of the operating system was $------ The slope means that each year the cost is going up by $------
hand calculation
Part II: Joe and his Dream Porsche Joe is 16 years old and has decided that he wants a brand-spankin' new Porsche Boxter Convertible, but his mom says there's no way that he could ever afford it! So, Joe has decided to show his mom that he will be able to purchase his dream car at the age of 35 if he plans his finances just right. He's asked you to help him plan. A. How much will his car cost in 19 years? The following table shows the approximate MSRP (manufacturers suggested retail price) of a Porsche Boxter Convertible from 2004 to 2008. Create a scatter plot of the data and determine the line of best fit, finding an appropriate slope and initial value assuming it started in 2004.. Year MSRP 2004 $57 510 2005 $59 130 2006 $60 750 2007 $61 965 2008 $63 600 B. Financing Joe's new Porsche Joe knows that he will have to put 10% down on his car. To save up for this down payment, he plans on investing a set amount monthly, starting now, into Teen's Choice Financial's Interest Plus Savings…
The heights and weights of elephants at the zoo are recorded in the table. Height (in feet) 4 6 7 7 7.5 9 Weight (in tons) 1.25 1.9 2.5 2.1 2.3 3.4 Interpret the slope, using the equation for the line of best fit ŷ = 0.513x − 0.408; for every additional foot in height, the elephant is predicted to gain 0.513 tons of weight ŷ = 0.408x − 0.513; for every additional foot in height, the elephant is predicted to gain 0.408 tons of weight ŷ = 0.408x − 0.513; for every additional foot in height, the elephant is predicted to lose 0.513 tons of weight ŷ = 0.513x − 0.408; for every additional foot in height, the elephant is predicted to lose 0.408 tons of weight
Using data from the attatched chart, and the equation stated below, answer questions a,b,and c. linear equation: y=0.078x+2.42 a. Write a linear equation in slope-intercept form that models the data. b. Use the equation from part (a) to project the demand for teachers in 2024. c. Project the year when the demand for teachers will reach 6 million.
The number (in millions) of employees working in educational services in a particular country was 16.6 in 2005 and 18.5 in 2014. Let x = 5 correspond to the year 2005, and estimate the number of employees in 2010. Assume that the data can be modeled by a straight line and that the trend continues indefinitely. Use two data points to find such a line and then estimate the requested quantity. Let y represent the number of employees. The linear equation that best models the number of employees (in millions) is (Simplify your answer. Use integers or decimals for any numbers in the equation. Round to the nearest hundredth as needed.) In 2010, the number (in millions) of employees working in education services would be (Type an integer or a decimal rounded to the nearest hundredth as needed.)
The Coast Starlight Amtrak train runs between Seattle and Los Angeles. The table below contains all distances between stops and the typical travel time for each of those distances. DISTANCE BETWEEN STOPS (miles) TIME TO TRAVEL THIS DISTANCE (minutes) 10 52 32 115 40 55 50 61 49 58 56 32 54 31 61 27 84 176 91 322 102 173 112 124 194 64 235 254 246 372 356 195 What is the equation for the best fit line? What is the meaning of the slope in this context? What is the R2R2for the regression line? The distance between LA and Santa Barbara is 102 miles. Use the linear model to predict how long this trip will take. If the actual trip takes 173 minutes, what is the associated residual?
Range of ankle motion is a contributing factor to falls among the elderly. Suppose a team of researchers is studying how compression hosiery, typical shoes, and medical shoes affect range of ankle motion. In particular, note the variables Barefoot and Footwear2. Barefoot represents a subject's range of ankle motion (in degrees) while barefoot, and Footwear2 represents their range of ankle motion (in degrees) while wearing medical shoes. Use this data and your preferred software to calculate the equation of the least-squares linear regression line to predict a subject's range of ankle motion while wearing medical shoes, ?̂ , based on their range of ankle motion while barefoot, ? . Round your coefficients to two decimal places of precision. ?̂ = A physical therapist determines that her patient Jan has a range of ankle motion of 7.26°7.26° while barefoot. Predict Jan's range of ankle motion while wearing medical shoes, ?̂ . Round your answer to two decimal places. ?̂ = Suppose Jan's…
Data was collected for a regression analysis comparing car weight and fuel consumption. b0 was found to be 32.7, b1 was found to be -7.6, and R2 was found to be 0.86. Interpret the y-intercept of the line. On average, each one unit increase in the weight of a car decreases its ful consumption by 7.6 units. On average, when x=0, a car gets -7.6 miles per gallon. On average, when x=0, a car gets 32.7 miles per gallon. On average, each one unit increase in the weight of a car increases its fuel comsumption by 32.7 units. We should not interpret the y-intercept in this problem.
The number (in millions) of employees working in educational services in a particular country was 13.8 in 2005 and 18.2 in 2014. Let x = 5 correspond to the year 200 and estimate the number of employees in 2010. Assume that the data can be modeled by a straight line and that the trend continues indefinitely. Use two data points find such a line and then estimate the requested quantity. ... Let y represent the number of employees. The linear equation that best models the number of employees (in millions) is (Simplify your answer. Use integers or decimals for any numbers in the equation. Round to the nearest hundredth as needed.) In 2010, the number (in millions) of employees working in education services would be (Type an integer or a decimal rounded to the nearest hundredth as needed.)

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