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Calculus
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11 Jun 2020

EXPLORING CONCEPTS

Method of Least Squares

Find a system of equations whose solution yields the coefficients , , and for the least squares regression quadratic

for the points by minimizing the sum

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Rico Jay Laxa
Rico Jay LaxaLv10
23 Aug 2020

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Finding the Least Squares Regression Line

In Exercises 89 and 90, find the least squares regression line for the points. Use the regression capabilities of a graphing utility to verify your results. Use the graphing utility to plot the points and graph the regression line.

Finding the Least Squares Regression Line

In Exercises 89 and 90, find the least squares regression line for the points. Use the regression capabilities of a graphing utility to verify your results. Use the graphing utility to plot the points and graph the regression line.

Modeling Data

The table shows the total numbers of enrollees (in millions) for the Veterans Health Administration for 2010 through 2014. Let represent the year 2010. (Source: U.S. Department of Veterans Affairs)

Year, x

2010

2011

2012

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Total Enrollees, y

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(a) Use the regression capabilities of a graphing utility to find the least squares regression line for the data.

(b) Use the regression capabilities of a graphing utility to find the least squares regression quadratic for the data.

(c) Use a graphing utility to plot the data and graph the models.

(d) Use both models to forecast the total number of enrollees for the year 2025. How do the two models differ as you extrapolate into the future?

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