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2. Using Boundless Presentations The Appendix The appendix is for you to use to add depth and breadth to your lectures. You can simply drag and drop slides from the appendix into the main presentation to make for a richer lecture experience. Free to edit, share, and copy Feel free to edit, share, and make as many copies of the Boundless presentations as you like. We encourage you to take these presentations and make them your own. Free to share, print, make copies and changes. Get yours at www.boundless.com Boundless Teaching Platform Boundless empowers educators to engage their students with affordable, customizable textbooks and intuitive teaching tools. The free Boundless Teaching Platform gives educators the ability to customize textbooks in more than 20 subjects that align to hundreds of popular titles. Get started by using high quality Boundless books, or make switching to our platform easier by building from Boundless content pre-organized to match the assigned textbook. This platform gives educators the tools they need to assign readings and assessments, monitor student activity, and lead their classes with pre-made teaching resources. Get started now at: If you have any questions or problems please email: educators@boundless.com http://boundless.com/teaching-platform

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4. Slope-Intercept Equations Point-Slope Equations Parallel and Perpendicular Lines Linear Mathematical Models Fitting a Curve Modeling Equations of Lines Graphs, Functions, and Models > Modeling Equations of Lines Free to share, print, make copies and changes. Get yours at www.boundless.com www.boundless.com/algebra?campaign_content=book_196_section_18&campaign_term=Algebra&utm_campaign=powerpoint&utm_medium=dir ect&utm_source=boundless

5. The slope-intercept form of a line is given by [Equation 1] where x and y are variables, and m and b are constants. The constant m is the slope, and b is the y-intercept. Slope-Intercept Equations Graphs, Functions, and Models > Modeling Equations of Lines Free to share, print, make copies and changes. Get yours at www.boundless.com www.boundless.com/algebra/textbooks/boundless-algebra-textbook/graphs-functions-and-models-2/modeling-equations-of-lines-18/slope- intercept-equations-104- 10892?campaign_content=book_196_section_18&campaign_term=Algebra&utm_campaign=powerpoint&utm_medium=direct&utm_source=boun dless Equation 1 View on Boundless.com

6. The constant b is known as the y-intercept, when x=0, y = b, and the point (0, b) is the unique member of the line where the y-axis is 'intercepted' or crossed. The x-intercept, when y = 0, x=-b/m, assuming m is non-zero, and the point (-b/m, 0) is the unique member of the line where the x-axis is 'intercepted' or crossed. The constant m is known as the slope. Slope is the measure of how much a line moves up or down related to how much it moves left to right. Slope-Intercept Equations Free to share, print, make copies and changes. Get yours at www.boundless.com www.boundless.com/algebra/textbooks/boundless-algebra-textbook/graphs-functions-and-models-2/modeling-equations-of-lines-18/slope- intercept-equations-104- 10892?campaign_content=book_196_section_18&campaign_term=Algebra&utm_campaign=powerpoint&utm_medium=direct&utm_source=boun dless View on Boundless.com Graphs, Functions, and Models > Modeling Equations of Lines

7. If you have two points (x1, y1) and (x2, y2), where [Equation 2], then the slope is given by [Equation 3]. Graphs, Functions, and Models > Modeling Equations of Lines Free to share, print, make copies and changes. Get yours at www.boundless.com www.boundless.com/algebra/textbooks/boundless-algebra-textbook/graphs-functions-and-models-2/modeling-equations-of-lines-18/slope- intercept-equations-104- 10892?campaign_content=book_196_section_18&campaign_term=Algebra&utm_campaign=powerpoint&utm_medium=direct&utm_source=boun dless Equation 2 View on Boundless.com Equation 3 View on Boundless.com

8. The point-slope equation is given by [Equation 4], where [Equation 5] is any point on the line, and m is the slope of the line. Point-Slope Equations Graphs, Functions, and Models > Modeling Equations of Lines Free to share, print, make copies and changes. Get yours at www.boundless.com www.boundless.com/algebra/textbooks/boundless-algebra-textbook/graphs-functions-and-models-2/modeling-equations-of-lines-18/point-slope- equations-105- 5834?campaign_content=book_196_section_18&campaign_term=Algebra&utm_campaign=powerpoint&utm_medium=direct&utm_source=boundl ess Equation 4 View on Boundless.com Equation 5 View on Boundless.com

9. The point-slope equation requires that there are at least one point and the slope. If there are two points and no slope, the slope can be calculated from the two points. Then use one of the two points in the final equation. Point-Slope Equations Free to share, print, make copies and changes. Get yours at www.boundless.com www.boundless.com/algebra/textbooks/boundless-algebra-textbook/graphs-functions-and-models-2/modeling-equations-of-lines-18/point-slope- equations-105- 5834?campaign_content=book_196_section_18&campaign_term=Algebra&utm_campaign=powerpoint&utm_medium=direct&utm_source=boundl ess View on Boundless.com Graphs, Functions, and Models > Modeling Equations of Lines

10. The point-slope and slope-intercept equations are equivalent, and with a little bit of algebraic manipulation it can be shown that given a point [Equation 6] and slope m, the y-intercept (b) in the slope-intercept equation is [Equation 7]. For example, in, the equation [Equation 8] can easily be manipulated to be [Equation 9]. At the y-intercept, [Equation 10], and thus the equation then becomes [Equation 11]. Look where the graph crosses the y-axis. Graphs, Functions, and Models > Modeling Equations of Lines Free to share, print, make copies and changes. Get yours at www.boundless.com www.boundless.com/algebra/textbooks/boundless-algebra-textbook/graphs-functions-and-models-2/modeling-equations-of-lines-18/point-slope- equations-105- 5834?campaign_content=book_196_section_18&campaign_term=Algebra&utm_campaign=powerpoint&utm_medium=direct&utm_source=boundl ess Equation 6 View on Boundless.com Equation 7 View on Boundless.com Equation 8 View on Boundless.com

11. Parallel lines have the same slope. A line is technically parallel with itself. Perpendicular lines slopes are negative reciprocals of each other. This means that one has m and the other -1/m. Parallel and Perpendicular Lines Free to share, print, make copies and changes. Get yours at www.boundless.com www.boundless.com/algebra/textbooks/boundless-algebra-textbook/graphs-functions-and-models-2/modeling-equations-of-lines-18/parallel-and- perpendicular-lines-106- 5515?campaign_content=book_196_section_18&campaign_term=Algebra&utm_campaign=powerpoint&utm_medium=direct&utm_source=boundl ess View on Boundless.com Graphs, Functions, and Models > Modeling Equations of Lines

12. The distance between two parallel lines [Equation 12] and [Equation 13] is [Equation 14]. Graphs, Functions, and Models > Modeling Equations of Lines Free to share, print, make copies and changes. Get yours at www.boundless.com www.boundless.com/algebra/textbooks/boundless-algebra-textbook/graphs-functions-and-models-2/modeling-equations-of-lines-18/parallel-and- perpendicular-lines-106- 5515?campaign_content=book_196_section_18&campaign_term=Algebra&utm_campaign=powerpoint&utm_medium=direct&utm_source=boundl ess Equation 12 View on Boundless.com Equation 13 View on Boundless.com Equation 14 View on Boundless.com

13. If the line f(x) is perpendicular to g(x), then f(x) is perpendicular to all lines that are parallel with g(x), and all lines parallel with f(x) are perpendicular to g(x). If line f(x) is perpendicular to g(x), and g(x) is perpendicular to h(x), then h(x) and f(x) are parallel. Free to share, print, make copies and changes. Get yours at www.boundless.com www.boundless.com/algebra/textbooks/boundless-algebra-textbook/graphs-functions-and-models-2/modeling-equations-of-lines-18/parallel-and- perpendicular-lines-106- 5515?campaign_content=book_196_section_18&campaign_term=Algebra&utm_campaign=powerpoint&utm_medium=direct&utm_source=boundl ess Graphs, Functions, and Models > Modeling Equations of Lines

14. A mathematical model describes a system using mathematical concepts and language. Linear mathematical models can be described with lines. For instance, a car going 50 mph, has traveled a distance represented by y = 50x, where x is time in hours and y is miles. Real world applications can be modeled with multiple lines. If two trains travel toward each other—one at 50 mph and the other at 80 mph—and they initially start at 350 miles away, the two lines are y=50x and y=350-80x. The point where the two lines intersect is the point where the trains meet. Linear Mathematical Models Free to share, print, make copies and changes. Get yours at www.boundless.com www.boundless.com/algebra/textbooks/boundless-algebra-textbook/graphs-functions-and-models-2/modeling-equations-of-lines-18/linear- mathematical-models-107- 5837?campaign_content=book_196_section_18&campaign_term=Algebra&utm_campaign=powerpoint&utm_medium=direct&utm_source=boundl ess Dead Reckoning View on Boundless.com Graphs, Functions, and Models > Modeling Equations of Lines

15. Curve fitting is useful for finding a curve that best fits the data, so you can see how the data is roughly spread out as well as make observations about data you don't have. Linear regression attempts to graph a line that best fits the data available. Ordinary least squares approximation is a type of linear regression that minimizes the sum of the squares of the difference between the approximated value (from the line), and the actual value. Fitting a Curve Free to share, print, make copies and changes. Get yours at www.boundless.com www.boundless.com/algebra/textbooks/boundless-algebra-textbook/graphs-functions-and-models-2/modeling-equations-of-lines-18/fitting-a-curve- 108- 11207?campaign_content=book_196_section_18&campaign_term=Algebra&utm_campaign=powerpoint&utm_medium=direct&utm_source=boun dless Example Points View on Boundless.com Graphs, Functions, and Models > Modeling Equations of Lines

16. The slope of the line that approximates n data points is given by [Equation 15]. Graphs, Functions, and Models > Modeling Equations of Lines Free to share, print, make copies and changes. Get yours at www.boundless.com www.boundless.com/algebra/textbooks/boundless-algebra-textbook/graphs-functions-and-models-2/modeling-equations-of-lines-18/fitting-a-curve- 108- 11207?campaign_content=book_196_section_18&campaign_term=Algebra&utm_campaign=powerpoint&utm_medium=direct&utm_source=boun dless Equation 15 View on Boundless.com

17. The y-intercept of the line that approximates n data points is given by [Equation 16]. Graphs, Functions, and Models > Modeling Equations of Lines Free to share, print, make copies and changes. Get yours at www.boundless.com www.boundless.com/algebra/textbooks/boundless-algebra-textbook/graphs-functions-and-models-2/modeling-equations-of-lines-18/fitting-a-curve- 108- 11207?campaign_content=book_196_section_18&campaign_term=Algebra&utm_campaign=powerpoint&utm_medium=direct&utm_source=boun dless Equation 16 View on Boundless.com

18. Free to share, print, make copies and changes. Get yours at www.boundless.com Appendix

19. Key terms curve fitting Curve fitting is the process of constructing a curve, or mathematical function, that has the best fit to a series of data points, possibly subject to constraints. least squares approximation This approximation attempts to minimize the sums of the squared distance between the predicted point and the actual point. linear regression Linear regression is an approach to modeling the linear relationship between a dependent variable y and an independent variable x. mathematical model An abstract mathematical representation of a process, device, or concept; it uses a number of variables to represent inputs, outputs, internal states, and sets of equations and inequalities to describe their interaction. outlier A value in a statistical sample which does not fit a pattern that describes most other data points. parallel lines Two lines are parallel if they never intersect even as they go to infinite. Their slopes are equal to each other. perpendicular lines Two lines are perpendicular if their intersection creates right angles. Their slopes are the negative reciprocal of each other. point-slope equation The point-slope equation is an equation of a line given a point (x_{1}, y_{1}) and a slope m: y-y_{1}=m(x- x_{1}). reciprocal Of a number, the number obtained by dividing 1 by the given number; the result of exchanging the numerator and the denominator of a fraction. slope The ratio of the vertical and horizontal distances between two points on a line; zero if the line is horizontal, undefined if it is vertical. x-intercept A root; a zero; a point at which a line crosses the x-axis of a Cartesian grid. Free to share, print, make copies and changes. Get yours at www.boundless.com Graphs, Functions, and Models

20. y-intercept A point at which a line crosses the y-axis of a Cartesian grid. Free to share, print, make copies and changes. Get yours at www.boundless.com Graphs, Functions, and Models

21. Outlier Point In this graph, we have all the same points, except that the point that was (-1, 0), has now become an outlier at (-1, 6). Free to share, print, make copies and changes. Get yours at www.boundless.com Work at Home Jobs. "FAQ | FooPlot | Online graphing calculator and function plotter." Public domain http://fooplot.com/faq View on Boundless.comPublic domainhttp://fooplot.com/faqView on Boundless.com Graphs, Functions, and Models

22. Interactive Graph: Graph of a Line This is a graph of, demonstrating the graph of a line. Look at where the y-intercept is in relation to the equation when x=0, y=5. Free to share, print, make copies and changes. Get yours at www.boundless.com Boundless. "Interactive Graph: Graph of a Line." CC BY-SA 3.0 https://www.boundless.com/image/interactive-graph-point-slope-graph View on Boundless.comCC BY-SA 3.0https://www.boundless.com/image/interactive-graph-point-slope-graphView on Boundless.com Graphs, Functions, and Models

23. Interactive Graph: Same Equation with Differing Slopes This is a graph in which the same equation, in which only the slope (m) differs in each equation. (red), (blue), (green), (purple), (orange), (black), (red). Free to share, print, make copies and changes. Get yours at www.boundless.com Boundless. "Interactive Graph: Same Equation with Differing Slopes." CC BY-SA 3.0 https://www.boundless.com/image/interactive-graph-same-equation-with- differing-slopes View on Boundless.comCC BY-SA 3.0https://www.boundless.com/image/interactive-graph-same-equation-with- differing-slopesView on Boundless.com Graphs, Functions, and Models

24. Least Squares Fit Line Here is a line used by the least squares approximation. The line equation is y = 0.554x+0.3025. Free to share, print, make copies and changes. Get yours at www.boundless.com Work at Home Jobs. "FAQ | FooPlot | Online graphing calculator and function plotter." Public domain http://fooplot.com/faq View on Boundless.comPublic domainhttp://fooplot.com/faqView on Boundless.com Graphs, Functions, and Models

25. Interactive Graph: Parallel Lines These are two parallel lines: and. Notice how the two equations are similar and how they are different. Infer what causes them to be parallel. Free to share, print, make copies and changes. Get yours at www.boundless.com Boundless. "Interactive Graph: Parallel Lines." CC BY-SA 3.0 https://www.boundless.com/image/interactive-graph-parallel-lines View on Boundless.comCC BY-SA 3.0https://www.boundless.com/image/interactive-graph-parallel-linesView on Boundless.com Graphs, Functions, and Models

26. Outlier Approximated Line Here is the approximated line given the new outlier point at (-1, 6). Free to share, print, make copies and changes. Get yours at www.boundless.com Work at Home Jobs. "FAQ | FooPlot | Online graphing calculator and function plotter." Public domain http://fooplot.com/faq View on Boundless.comPublic domainhttp://fooplot.com/faqView on Boundless.com Graphs, Functions, and Models

27. Example Points Here are the points used in the example worked out in the section. The points are (-1, 0), (0, 0), (1, 1), (2, 2), (3, 1), (4, 2.5), (5, 3), (6, 4). Free to share, print, make copies and changes. Get yours at www.boundless.com Work at Home Jobs. "FAQ | FooPlot | Online graphing calculator and function plotter." Public domain http://fooplot.com/faq View on Boundless.comPublic domainhttp://fooplot.com/faqView on Boundless.com Graphs, Functions, and Models

28. Dead Reckoning This is an example of dead reckoning, which uses a linear model to predict how far one has traveled over time. Free to share, print, make copies and changes. Get yours at www.boundless.com Wikipedia. "Dead-reckining." Public domain http://en.wikipedia.org/wiki/File:Dead-reckining.svg View on Boundless.comPublic domainhttp://en.wikipedia.org/wiki/File:Dead-reckining.svgView on Boundless.com Graphs, Functions, and Models

29. Free to share, print, make copies and changes. Get yours at www.boundless.com Graphs, Functions, and Models Which of the following lines has no slope? A) y=7 B) y=x+7 C) x=y+3 D) x=7

30. Free to share, print, make copies and changes. Get yours at www.boundless.comwww.boundless.com Boundless - LO. "Boundless." CC BY-SA 3.0 http://www.boundless.com/CC BY-SA 3.0http://www.boundless.com/ Graphs, Functions, and Models Which of the following lines has no slope? A) y=7 B) y=x+7 C) x=y+3 D) x=7

31. Free to share, print, make copies and changes. Get yours at www.boundless.com Graphs, Functions, and Models At what point does the equation 4x=3y-9 cross the y-axis? A) (3,0) B) (0,3) C) (-9/4,0) D) (0,-9/4)

32. Free to share, print, make copies and changes. Get yours at www.boundless.comwww.boundless.com Boundless - LO. "Boundless." CC BY-SA 3.0 http://www.boundless.com/CC BY-SA 3.0http://www.boundless.com/ Graphs, Functions, and Models At what point does the equation 4x=3y-9 cross the y-axis? A) (3,0) B) (0,3) C) (-9/4,0) D) (0,-9/4)

33. Free to share, print, make copies and changes. Get yours at www.boundless.com Graphs, Functions, and Models At what point does the equation x-3y=6 cross the x-axis? A) (0,6) B) (0,-2) C) (6,0) D) (-2,0)

34. Free to share, print, make copies and changes. Get yours at www.boundless.comwww.boundless.com Boundless - LO. "Boundless." CC BY-SA 3.0 http://www.boundless.com/CC BY-SA 3.0http://www.boundless.com/ Graphs, Functions, and Models At what point does the equation x-3y=6 cross the x-axis? A) (0,6) B) (0,-2) C) (6,0) D) (-2,0)

35. Free to share, print, make copies and changes. Get yours at www.boundless.com Graphs, Functions, and Models Which of the following lines is parallel to y=-2x+4? A) 3-2x=y B) y=2x+4 C) y=4x+2 D) 2x+3=y

36. Free to share, print, make copies and changes. Get yours at www.boundless.comwww.boundless.com Boundless - LO. "Boundless." CC BY-SA 3.0 http://www.boundless.com/CC BY-SA 3.0http://www.boundless.com/ Graphs, Functions, and Models Which of the following lines is parallel to y=-2x+4? A) 3-2x=y B) y=2x+4 C) y=4x+2 D) 2x+3=y

37. Free to share, print, make copies and changes. Get yours at www.boundless.com Graphs, Functions, and Models A taxi charges $1.50 per mile, plus an initial fee of $3.00. What equation can be used to model the cost (c) of a taxi ride that travels m miles? A) c=1.5m+3 B) c=3m+1.5 C) m=1.5c+3 D) c=1.5m-3

38. Free to share, print, make copies and changes. Get yours at www.boundless.comwww.boundless.com Boundless - LO. "Boundless." CC BY-SA 3.0 http://www.boundless.com/CC BY-SA 3.0http://www.boundless.com/ Graphs, Functions, and Models A taxi charges $1.50 per mile, plus an initial fee of $3.00. What equation can be used to model the cost (c) of a taxi ride that travels m miles? A) c=1.5m+3 B) c=3m+1.5 C) m=1.5c+3 D) c=1.5m-3

39. Free to share, print, make copies and changes. Get yours at www.boundless.com Graphs, Functions, and Models A phone company charges an initial fee of $1.00 for each international call, plus an additional 25 cents per minute. How much will an international call that lasts an hour and 20 minutes cost? A) $20.00 B) $6.00 C) $21.00 D) $31.00

40. Free to share, print, make copies and changes. Get yours at www.boundless.comwww.boundless.com Boundless - LO. "Boundless." CC BY-SA 3.0 http://www.boundless.com/CC BY-SA 3.0http://www.boundless.com/ Graphs, Functions, and Models A phone company charges an initial fee of $1.00 for each international call, plus an additional 25 cents per minute. How much will an international call that lasts an hour and 20 minutes cost? A) $20.00 B) $6.00 C) $21.00 D) $31.00

41. Free to share, print, make copies and changes. Get yours at www.boundless.com Graphs, Functions, and Models Given the points (1,3), (2,5), and (3,6), find the least squares regression line. A) y=1.5x+1.667 B) y=1.667x+1.5 C) y=1.7x+1.778 D) y=1.778x+1.7

42. Free to share, print, make copies and changes. Get yours at www.boundless.comwww.boundless.com Boundless - LO. "Boundless." CC BY-SA 3.0 http://www.boundless.com/CC BY-SA 3.0http://www.boundless.com/ Graphs, Functions, and Models Given the points (1,3), (2,5), and (3,6), find the least squares regression line. A) y=1.5x+1.667 B) y=1.667x+1.5 C) y=1.7x+1.778 D) y=1.778x+1.7

43. Attribution Wikipedia. "Perpendicular." CC BY-SA 3.0 http://en.wikipedia.org/wiki/PerpendicularCC BY-SA 3.0http://en.wikipedia.org/wiki/Perpendicular Wikipedia. "Parallel (geometry)." CC BY-SA 3.0 http://en.wikipedia.org/wiki/Parallel_(geometry)CC BY-SA 3.0http://en.wikipedia.org/wiki/Parallel_(geometry) Wiktionary. "reciprocal." CC BY-SA 3.0 http://en.wiktionary.org/wiki/reciprocalCC BY-SA 3.0http://en.wiktionary.org/wiki/reciprocal Boundless Learning. "Boundless." CC BY-SA 3.0 http://www.boundless.com//algebra/definition/perpendicular-linesCC BY-SA 3.0http://www.boundless.com//algebra/definition/perpendicular-lines Boundless Learning. "Boundless." CC BY-SA 3.0 http://www.boundless.com//algebra/definition/parallel-linesCC BY-SA 3.0http://www.boundless.com//algebra/definition/parallel-lines Wikipedia. "Linear equation." CC BY-SA 3.0 http://en.wikipedia.org/wiki/Linear_equation#Point.E2.80.93slope_formCC BY-SA 3.0http://en.wikipedia.org/wiki/Linear_equation#Point.E2.80.93slope_form Boundless Learning. "Boundless." CC BY-SA 3.0 http://www.boundless.com//algebra/definition/point-slope-equationCC BY-SA 3.0http://www.boundless.com//algebra/definition/point-slope-equation Wikibooks. "Algebra/Function Graphing." CC BY-SA 3.0 http://en.wikibooks.org/wiki/Algebra/Function_GraphingCC BY-SA 3.0http://en.wikibooks.org/wiki/Algebra/Function_Graphing Wikipedia. "Mathematical model." CC BY-SA 3.0 http://en.wikipedia.org/wiki/Mathematical_modelCC BY-SA 3.0http://en.wikipedia.org/wiki/Mathematical_model Boundless Learning. "Boundless." CC BY-SA 3.0 http://www.boundless.com//algebra/definition/linear-regressionCC BY-SA 3.0http://www.boundless.com//algebra/definition/linear-regression Wiktionary. "mathematical model." CC BY-SA 3.0 http://en.wiktionary.org/wiki/mathematical+modelCC BY-SA 3.0http://en.wiktionary.org/wiki/mathematical+model Wikibooks. "Algebra/Function Graphing." CC BY-SA 3.0 http://en.wikibooks.org/wiki/Algebra/Function_GraphingCC BY-SA 3.0http://en.wikibooks.org/wiki/Algebra/Function_Graphing Wikibooks. "Algebra/Intercepts." CC BY-SA 3.0 http://en.wikibooks.org/wiki/Algebra/InterceptsCC BY-SA 3.0http://en.wikibooks.org/wiki/Algebra/Intercepts Wikibooks. "Algebra/Slope." CC BY-SA 3.0 http://en.wikibooks.org/wiki/Algebra/SlopeCC BY-SA 3.0http://en.wikibooks.org/wiki/Algebra/Slope Wikipedia. "Linear equation." CC BY-SA 3.0 http://en.wikipedia.org/wiki/Linear_equationCC BY-SA 3.0http://en.wikipedia.org/wiki/Linear_equation Wikibooks. "Algebra/Linear Equations and Functions." CC BY-SA 3.0 http://en.wikibooks.org/wiki/Algebra/Linear_Equations_and_FunctionsCC BY-SA 3.0 http://en.wikibooks.org/wiki/Algebra/Linear_Equations_and_Functions Wiktionary. "slope." CC BY-SA 3.0 http://en.wiktionary.org/wiki/slopeCC BY-SA 3.0http://en.wiktionary.org/wiki/slope Free to share, print, make copies and changes. Get yours at www.boundless.com Graphs, Functions, and Models

44. Wiktionary. "x-intercept." CC BY-SA 3.0 http://en.wiktionary.org/wiki/x-interceptCC BY-SA 3.0http://en.wiktionary.org/wiki/x-intercept Wiktionary. "y-intercept." CC BY-SA 3.0 http://en.wiktionary.org/wiki/y-interceptCC BY-SA 3.0http://en.wiktionary.org/wiki/y-intercept Wikipedia. "Ordinary least squares." CC BY-SA 3.0 http://en.wikipedia.org/wiki/Ordinary_least_squaresCC BY-SA 3.0http://en.wikipedia.org/wiki/Ordinary_least_squares Wikipedia. "Linear regression." CC BY-SA 3.0 http://en.wikipedia.org/wiki/Linear_regressionCC BY-SA 3.0http://en.wikipedia.org/wiki/Linear_regression Boundless Learning. "Boundless." CC BY-SA 3.0 http://www.boundless.com//algebra/definition/least-squares-approximationCC BY-SA 3.0http://www.boundless.com//algebra/definition/least-squares-approximation Boundless Learning. "Boundless." CC BY-SA 3.0 http://www.boundless.com//algebra/definition/linear-regressionCC BY-SA 3.0http://www.boundless.com//algebra/definition/linear-regression Wiktionary. "outlier." CC BY-SA 3.0 http://en.wiktionary.org/wiki/outlierCC BY-SA 3.0http://en.wiktionary.org/wiki/outlier Boundless Learning. "Boundless." CC BY-SA 3.0 http://www.boundless.com//algebra/definition/curve-fittingCC BY-SA 3.0http://www.boundless.com//algebra/definition/curve-fitting Wikipedia. "Curve fitting." CC BY-SA 3.0 http://en.wikipedia.org/wiki/Curve_fittingCC BY-SA 3.0http://en.wikipedia.org/wiki/Curve_fitting Free to share, print, make copies and changes. Get yours at www.boundless.com Graphs, Functions, and Models