Concept explainers
(a)
To calculate: The regression line by taking x be the number of natural science doctorates and y be the number of engineering doctorates and also plot the provided points along with the obtained regression line using the technology when the table representing the number of PhD graduates in Mexico every year is as follows:
Natural Sciences | Engineering | Social Science | Education | |
(b)
The interpretation about the slope of the regression line which is calculated in part (a).
(c)
To calculate: The coefficient of
Natural Sciences | Engineering | Social Science | Education | |
(d)
Whether the graph shows linear relation between x and y which is calculated in part (a).
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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_forwardDoes Table 1 represent a linear function? If so, finda linear equation that models the data.arrow_forwardFind the equation of the regression line for the following data set. x 1 2 3 y 0 3 4arrow_forward
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