y=IIXy12612 63934654 682Use linear regression to find an linear function that bestfits this data.56732 746

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Answered: X y y = 1 2 3 4 612 639 654 682 5 732 6…

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter5: Inner Product Spaces

Section5.CM: Cumulative Review

Problem 21CM

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What is regression analysis? Describe the process of performing regression analysis on a graphing utility.
Does the following table represent a linear function ? If so, find the linear equation that models the data.
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.
Life Expectancy The following table shows the average life expectancy, in years, of a child born in the given year42 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, and explain the meaning of its slope. 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 as the life expectancy of a child born in 2019? e. Based on the trend of the regression line, what do you predict as the life expectancy of a child born in 1580?2300
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?
Table 6 shows the year and the number ofpeople unemployed in a particular city for several years. Determine whether the trend appears linear. If so, and assuming the trend continues, in what year will the number of unemployed reach 5 people?
The US. import of wine (in hectoliters) for several years is given in Table 5. Determine whether the trend appearslinear. Ifso, and assuming the trend continues, in what year will imports exceed 12,000 hectoliters?
What is the linear regression of the data? y = x- 1,3,5,7,9, y- 3,7,13,17,23 (Use integers or decimals for any numbers in the expression. Round to the nearest tenth as needed)
A rich sports car owner wants to develop a regression equation that determines mileage as a function of the age of a car in years. He collects the data shown below for the 12 cars he has on his lot. Age Mileage 7 52654 4 49300 13 113671 7 63001 7 69850 7 68048 12 106979 8 82719 7 80894 10 109258 14 149804 8 98915 a) What is the slope of the regression equation? Give your answer to two decimal places. i got 9157.61 correctb) What is the value of the correlation coefficient? Give your answer to two decimal places. i got 0.92 correct c) A 4 year old car is delivered to his lot with 160000 miles. Manually enter these values in the data table above and rerun the regression analysis. What is the value of the slope? i got 10203.66 but that was wrong d) Including the additional car, what is the value of the correlation coefficient? i got 0.924 but that was wrong. only c and d need to be answered.
Define the different ways to use linear regression?
A linear regression model predicts a student's GPA from the number of classes missed, weekly hours spent on studying and their age. The table below gives partial output from SPSS. Standardized Unstandardized Coefficients Std error t sig. Coefficients Constant 0.7 Number of -2.63 -0.57 classes missed Average 0.82 weekly hours 0.88 spent studying Student age 0.86 0.01 For every hour spent studying per week during the semester, what will the GPA increase by?
Define linear regression?

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X y y = 1 2 3 4 612 639 654 682 5 732 6 746 Use linear regression to find an linear function that best fits this data.