The following table shows unit sales of iPhones for the given year.t= years since 2010 0 1I= units sold (millions) 8.70 16.24 37.04 47.793(a) Find the equation of the regression line. (Round regression line parameters to two decimal places.)I(t) =(b) Plot the data and the regression line on the same coordinate axes.6060605050404040303030302020202010101010WebAssign Plot1133(c) How many units sold does the regression line predict for 2015? (Round your answer to two decimal places.)million units(d) Use the Internet to find the number of iPhones actually sold in 2015, and compare that number withanswer to part (c).This answer has not been graded yet.

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The following table shows unit sales of iPhones for the given year. t= years since 2010 0 1 2 3 |! = units sold millions)8.70 16.24 | 37.04 47.79 (a) Find the equation of the regression line. (Round regression line parameters to two decimal places.) (b) Plot the data and the regression line on the same coordinate axes. 60 60 60 60 50 50 50 40 40 40 40 30 30 30 30 20 20 20 20 10 10 10 WebAssign Plot

The following table shows unit sales of iPhones for the given year. t= years since 2010 0 1 2 3 |! = units sold millions)8.70 16.24 | 37.04 47.79 (a) Find the equation of the regression line. (Round regression line parameters to two decimal places.) (b) Plot the data and the regression line on the same coordinate axes. 60 60 60 60 50 50 50 40 40 40 40 30 30 30 30 20 20 20 20 10 10 10 WebAssign Plot

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter4: Linear Functions

Section: Chapter Questions

Problem 41RE: For the following exercises, consider the data in Table 5, which shows the percent of unemployed in...

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Find the equation of the regression line for the following data set. x 1 2 3 y 0 3 4
Olympic Pole Vault The graph in Figure 7 indicates that in recent years the winning Olympic men’s pole vault height has fallen below the value predicted by the regression line in Example 2. This might have occurred because when the pole vault was a new event there was much room for improvement in vaulters’ performances, whereas now even the best training can produce only incremental advances. Let’s see whether concentrating on more recent results gives a better predictor of future records. (a) Use the data in Table 2 (page 176) to complete the table of winning pole vault heights shown in the margin. (Note that we are using x=0 to correspond to the year 1972, where this restricted data set begins.) (b) Find the regression line for the data in part ‚(a). (c) Plot the data and the regression line on the same axes. Does the regression line seem to provide a good model for the data? (d) What does the regression line predict as the winning pole vault height for the 2012 Olympics? Compare this predicted value to the actual 2012 winning height of 5.97 m, as described on page 177. Has this new regression line provided a better prediction than the line in Example 2?
For the following exercises, consider this scenario: The profit of a company decreased steadily overa ten-year spam.The following ordered pairs shows dollars and the number of units sold in hundreds and the profit in thousands ofover the ten-year span, (number of units sold, profit) for specific recorded years: (46,600),(48,550),(50,505),(52,540),(54,495). Use linear regression to determine a function Pwhere the profit in thousands of dollars depends onthe number of units sold in hundreds.
For the following exercises, consider the data in Table 5, which shows the percent of unemployed in a city ofpeople25 years or older who are college graduates is given below, by year. 41. Based on the set of data given in Table 7, calculatethe regression line using a calculator or othertechnology tool, and determine the correlationcoefficient to three decimal places.
For the following exercises, consider the data in Table 5, which shows the percent of unemployed ina city of people 25 years or older who are college graduates is given below, by year. 40. Based on the set of data given in Table 6, calculate the regression line using a calculator or other technology tool, and determine the correlation coefficient to three decimal places.
For the following exercises, use Table 4 which shows the percent of unemployed persons 25 years or older who are college graduates in a particular city, by year. Determine whether the trend appears linear. If so, and assuming the trend continues, find a linear regression model to predict the percent of unemployed in a given year to three decimal places.
For the following exercises, consider this scenario: The population of a city increased steadily over a ten-year span.The following ordered pairs show the population and the year over the ten-year span (population, year) for specific recorded years: (3,600,2000);(4,000,2001);(4,700,2003);(6,000,2006) 42. Use linear regression to determine a function y,where the year depends on the population, to threedecimal places of accuracy.
The following table shows the average life expectancy, in years, of a child born in the given year.† Year Life expectancy 2005 77.6 2007 78.1 2009 78.5 2011 78.7 2013 78.8 (a) Find the equation of the regression line. (Let E be the life expectancy in years and t the number of years since 2005. Round regression line parameters to two decimal places.) E(t) = (c) Explain in practical terms the meaning of the slope of the regression line. (Round your answer to two decimal places.) For each increase of 1 in the year of birth the life expectancy increases by year. (d) Based on the trend of the regression line, what do you predict as the life expectancy of a child born in 2016? (Round your answer to one decimal place.) yr(e) Based on the trend of the regression line, what do you predict as the life expectancy of a child born in 1550? (Round your answer to one decimal place.) yrWhat do you predict as the life expectancy of a child born in 2400? (Round your answer to one…
The following table gives the percentages p of adults living in households with only wireless telephone services, where t is the number of years after the year 2000. Find the equation of the regression line, and then estimate the percentage of adults living in households with only wireless telephone services in 2019. Number of years after 2000, t 6 8 10 12 14 Percentage with only wireless phones, p (%) 12 17 24 35 43 A. The equation of the regression line is p= ___t+ ____ . (Type integers or decimals rounded to two decimal places as needed.) B. The estimate of the percentage of adults living in households with only wireless telephone services in 2019 is ____ %. (Type an integer or decimal rounded to two decimal places as needed.)
The prelim grades (x) and midterm grades (y) of a sample of 10 MMW students is modeled by the regression line y = 12.0623 + 0.7771x. Estimate the prelim grade if the midterm grade is 83.
(a) The standard error Se of the linear regression model is given in the printout as "S." What is the value of Se?
The table below shows enrollment,† in millions of people, in private colleges in the United States during the years from 2004 through 2008. date enrollment in millions 2004 4.29 2005 4.47 2006 4.58 2007 4.76 2008 5.13 (a) Find the equation of the regression line model for college enrollment as a function of time. (Let t be the number of years since 2004 and E the enrollment in private colleges, in millions. Round regression line parameters to two decimal places.) E(t)= Add the graph of the regression line to the data plot. (b) Explain the meaning of the slope of the line you found in part (a). The slope of the regression line is ?.... , and this means that every year the enrollment in American private colleges increased by about ?.... million. (c) Express, using functional notation, the enrollment in American private colleges in 2013. E ...? ( ) Estimate that value. (Round your answer to two decimal places.) ?.... million (d) Enrollment in American private…