Concept explainers
(a)
To calculate: The regression line for number of natural science doctorates as a function of time t and
Natural Sciences | Engineering | Social Science | Education | |
(b)
The interpretation about the number of natural science doctorates by the help of slope of the regression line which is calculated in part (a). When the table representing the number of PhD graduates in Mexico every year is as follows:
Natural Sciences | Engineering | Social Science | Education | |
(c)
The variation in number of natural science doctorates with time from the graph which is calculated in part (a). When the table representing the number of PhD graduates in Mexico every year is as follows:
Natural Sciences | Engineering | Social Science | Education | |
(d)
Whether the conclusion is same as concluded in part (c) if r is equal to
Natural Sciences | Engineering | Social Science | Education | |
Want to see the full answer?
Check out a sample textbook solutionChapter 1 Solutions
Applied Calculus
- 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?2300arrow_forwardCellular 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.arrow_forward
- Functions and Change: A Modeling Approach to Coll...AlgebraISBN:9781337111348Author:Bruce Crauder, Benny Evans, Alan NoellPublisher:Cengage LearningElementary Linear Algebra (MindTap Course List)AlgebraISBN:9781305658004Author:Ron LarsonPublisher:Cengage Learning
- College Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage LearningAlgebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage