The table below is a record of the number of miles driven between stops for gas and the amount of money spent to fill up the gas tank in Chloe's car over several months.AnswerMilesDriven, xEning from any angle.Cost toFill up ($), y278Table[U]'s Gas Fill Up Log322 318 317 321 319 299Copy DataStep 1 of 2: Find an equation of the least-squares regression line. Round your answer to three decimal places, if necessary.23.66 27.22 26.85 27.08 26.66 27.20 24.92ODTablesKeypadKeyboard ShortcutsSubmit AnswerDec 36:03

Answered: Image /qna-images/answer/61a3e2bd-8dbd-41ff-8bfc-4671f0dc5cda.jpg

Answered: Miles Driven, x Answer Cost to Fill up…

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter3: Polynomial Functions

Section3.5: Mathematical Modeling And Variation

Problem 2ECP

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Cellular Phone Subscribers The table shows the numbers of cellular phone subscribers y in millions in the United States from 2008 through 2013. Source: CTIA- The Wireless Association Year200820092010201120122013Number,y270286296316326336 (a) Find the least squares regression line for the data. Let x represent the year, with x=8 corresponding to 2008. (b) Use the linear regression capabilities of a graphing utility to find a linear model for the data. How does this model compare with the model obtained in part a? (c) Use the linear model to create a table of estimated values for y. Compare the estimated values with the actual data.
Does Table 2 represent a linear function? If so, finda linear equation that models the data.
the scatter plot displays the number of pretzels students could grab with their dominant hand and their handspan, measured in centimeters. the equation of the line y=-14.7+1.59x is called the least-squares regression line because it
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Tire pressure (psi) and mileage (mpg) were recorded for a random sample of seven cars of thesame make and model. The extended data table (left) and fit model report (right) are based on aquadratic model. Calculate R2. Describe what this value means in the context of the problem.
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The given paired data lists the heights (in inches) of various males who were measured on their eighth and sixteenth birthdays. Height (8 yrs) 52 50 48 51 51 48 (x) Height (16 yrs) 69 66 64 67 69 65 (y) Find the equation of the regression line and plot it on your scatter diagram using an x of 48 and an x of 51.
The data in the table represent the weights of various domestic cars and their miles per gallon in the city for the 2008 model year. For these data, the least-squares regression line is y = - 0.006x + 41.337. A twelfth car weighs 3,425 pounds and gets 12 miles per gallon. (a) The coefficient of determination of the expanded data set is R = %. (Round to one decimal place as needed.) Data Table How does the addition of the twelfth car to the data set affect R? Miles per Weight |(pounds), x A. It increases R. Gallon, y Car 1 3,771 22 B. It decreases R2. Car 2 3,990 19 C. It does not affect R2. 3,534 Car 3 20 Car 4 3,172 24 (b) Is the point corresponding to the twelfth car influential? Is it an outlier? Car 5 2,579 27 Car 6 3,730 20 A. No, it is not influential. Yes, it is an outlier. Car 7 2,605 25 B. Yes, it is influential. No, it is not an outlier. Car 8 3,777 19 C. No, it is not influential. No, it is not an outlier. Car 9 3,308 19 D. Yes, it is influential. Yes, it is an outlier. Car…
The scatter plot below shows the average cost of a designer jacket in a sample of years between 2000 and 2015. The least squares regression line modeling this data is given by yˆ=−4815+3.765x. A scatterplot has a horizontal axis labeled Year from 2005 to 2015 in increments of 5 and a vertical axis labeled Price ($) from 2660 to 2780 in increments of 20. The following points are plotted: (2003, 2736); (2004, 2715); (2007, 2675); (2009, 2719); (2013, 270). All coordinates are approximate. Interpret the slope of the least squares regression line. Select the correct answer below: 1.The average cost of a designer jacket decreased by $3.765 each year between 2000 and 2015. 2.The average cost of a designer jacket increased by $3.765 each year between 2000 and 2015. 3.The average cost of a designer jacket decreased by $4815 each year between 2000 and 2015. 4. The average cost of a designer jacket increased by $4815 each year between 2000 and…
The table lists the average tuition and fees at private colleges and universities for selected years. Year 1985 1990 1995 2000 2008 5311 25,115 Tuition and Fees (in dollars) 9375 SO 12,418 (a) Find the equation of the least-squares regression line that models the data. y 840.450 (Type the slope as a decimal rounded to three decimal places. Round the y-intercept to the nearest integer.) (b) Graph the data and the regression line in the same viewing window using the parameters given below the graph choices. Choose the correct graph below. OA. O B. o HE RO OC. 16,230 A o ƠN
Compute the least-squares regression line for predicting the 2012 budget from the 2006 budget. Round the slope and y. intercept to at least four decimal places.
esc An experimental drug is being tested on mice. Different mice were given different dosages of the drug and, among other things, the heartrates of the mice were measured an hour after the drug was ingested. For a random sample of 75 mice, the least-squares regression equation relating the dosage and heartrate was y = 72.53-1.61x. (In this equation, x represents the dosage, in milligrams, and y represents the heartrate, in beats per minute.) The standard error of the slope of this least-squares regression line is approximately 0.65. [ami] D 1 Based on this information, test whether there is a significant linear relationship between the drug dosage and the heartrate of a mouse and hour after drug ingestion by doing a hypothesis test regarding the population slope B₁. (Assume that the variable y follows a normal distribution for each value of x and that the other regression assumptions are satisfied.) Use the 0.05 level of significance, and perform a two-tailed test. Then complete the…

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