Number of fires x58 4784 62577269Number of acres burned y54438058536865Send data to ExcelThe correlation coefficient for the data is r=1 and a=D0,05. Should regression analysis be done?O The regression analysis should not be done.O The regression analysis should be done.Find the equation of the regression line.y'3Da+bxFind y' when x= 65.y'%3D

Answered: Image /qna-images/answer/5a3972ed-9b57-4e07-b557-6c0bc3bc51e1.jpg

Answered: Number of fires x 58 47 84 62 57 72 69…

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter4: Linear Functions

Section4.3: Fitting Linear Models To Data

Problem 7SE: A regression was run to determine whether there is arelationship between the diameter of a tree (x,...

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Zipfs Law The following table shows U.S cities by rank in terms of population and population in thousands. City Rank r Population N New York 1 8491 Chicago 3 2722 Philadelphia 5 1560 Dallas 9 1280 Austin 11 913 San Francisco 13 852 Columbus 15 836 A rule known as Zipfs law tells us that it is reasonable to approximate these data with a power function. a Use power regression to express the population as a function of the rank. b Plot the data along with the power function from part a. c Phoenix is the sixth largest city in the United States. Use your answer from part a to estimate population of Phoenix. Round your answer in thousands to the nearest whole number. Note: The actual population is 1537 thousand.
XYZ Corporation Stock Prices The following table shows the average stock price, in dollars, of XYZ Corporation in the given month. Month Stock price January 2011 43.71 February 2011 44.22 March 2011 44.44 April 2011 45.17 May 2011 45.97 a. Find the equation of the regression line. Round the regression coefficients to three decimal places. b. Plot the data points and the regression line. c. Explain in practical terms the meaning of the slope of the regression line. d. Based on the trend of the regression line, what do you predict the stock price to be in January 2012? January 2013?
Special Rounding Instructions For this exercise set, round all regression parameters to three decimal places, but round all other answers to two decimal places unless otherwise indicated. Gray Wolves in WisconsinGray wolves were among the first mammals protected under the Endangered Species Act in the 1970s. Wolves recolonized in Wisconsin beginning in 1980.Their population grew reliably after 1985 as follows: Year Wolves Year Wolves 1985 15 1993 40 1986 16 1994 57 1987 18 1995 83 1988 28 1996 99 1989 31 1997 145 1990 34 1998 178 1991 40 1999 197 1992 45 2000 266 a. Explain why an exponential model may be appropriate. b. Are these data exactly exponential? Explain. c. Find an exponential model for these data. d. Plot the data and the exponential model. e. Comment on your graph in part d. Which data points are below or above the number predicted by the exponential model?
A regression was run to determine whether there is arelationship between the diameter of a tree (x, in inches) and the tree’s age (y, in years). Theresults of the regression are given below. Use this topredict the age of a tree with diameter 10 inches. y=ax+ba=6.301b=1.044r=0.970
Special Rounding Instructions. For this exercise set, round all regression parameters to three decimal places, but round all other answers to two decimal places unless otherwise indicated. Growth in Length of HaddockA study by Raitt showed that the maximum length that a haddock could be expected to grow is about 53centimeters.Let D=D(t) denote the difference between 53centimeters and the length at age t years. The table below gives experimentally collected values for D. Age t Difference D 2 28.2 5 16.1 7 9.5 13 3.3 19 1.0 a.Find an exponential model of D as a function of t. b.Let L=L(t) denote the length in centimeters of a haddock at age t years. Find the model for L as a function of t. c.Plot the graph of the experimentally gathered data for the length L at ages 2,5,7,13, and 19years along with the graph of the model you made for L. Does this graph show that the 5year old haddock is a bit shorter or a bit longer than would be expected? d.A fisherman has caught a haddock that measures 41centimeters. What is the approximate age of the haddock?
Annual high temperature in a certain location have been tracked for several years. Let x represent the year and y the high temperature. Based on the data show below, calculate the regression line
Gestation and Average Longevity The data show the gestation period in days and the longevity of the lifetime of the animals in years. Gestation x 104 272 155 248 109 Longevity y 7 18 10 45 10 The correlation coefficient for the data is r=0.703 and α=0.05. Should regression analysis be done? Next, Find the equation of the regression line. Round coefficients to 3 decimal places. Finally, Predict y′ if x=225 days. Round your answer to at least one decimal place
Write the regression equation for the standard curve here. 1. First, rearrange the regression equation to solve for x. Y= 0.1074 X -0.1223 2. From the three unknown tube results, plug the average y value into the equation and calculate the x value. This should tell you how many grams of BSA were present in that assay tube on average. (Hint: think about how many significant figures are needed). 3. You will need to factor in the volume of the unknown sample that was placed in the reaction tube in order to obtain a concentration of BSA in the original unknown sample before dilution. three unknown tube results. 0.267 0.280 0.280
Alumni Contributions The director of an alumni association for a small college wants to determine whether there is any type of relationship between the amount of an alumnus's contribution (in dollars) and the number of years the alumnus has been out of school. The data follow. The regression line equation is =y′−465.24448.008x . The correlation coefficient is =r−0.879 . Compute the standard error of the estimate rounded to at least two decimal places, if appropriate. Assume =α0.05 . Years, x 1 7 3 6 10 Contribution, y 500 100 300 50 80 Chose the best option for the given data. A) The standard error of the estimate should not be calculated B) The standard error of the estimate should be calculated S est =
a) Determine the correlation coefficient r between the two variables. b) Determine the slope coefficient β1 for the regression of annual sales on years of education. c) Determine the y-intercept β0 for the regression of annual sales on years of education. d) What will be the annual sales when the years of education is 11 (years)? *** Answer rounded to at least 4 decimal places.
Forest Fires and Acres Burned Numbers (in thousands) of forest fires over the year and the number (in hundred thousands) of acres burned for 6 recent years are shown. The regression line equation is =y′+−27.67200.99464x. The correlation coefficient is =r0.769. Compute the standard error of the estimate rounded to at least two decimal places, if appropriate. Assume =α0.05. The standard error of the estimate should not be calculated. Or The standard error of the estimate should be calculated. Sest= Number of fires x 47 84 62 57 45 72 Number of acres burned y 26 51 15 30 15 62
There is a relationship in the form of Y = 1 / (a * x ^ b) (x ^ b: means x over b).a) Calculating the correlation coefficient and interpreting the degree of relationship?b) Estimating the y value for x = 4.3 and the x value for y = 0.90 by obtaining the regression equation

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