1 / 7

Understanding Graphing and Variable Relationships

Learn about graphing data and variables, including the independent and dependent variables, line of best fit, and different types of relationships such as linear, quadratic, root, and inverse. Discover how to represent data accurately and make predictions on a graph.

dcroy
Download Presentation

Understanding Graphing and Variable Relationships

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Section 1-3:Graphing Data

  2. Variables - IndependentVariable (manipulated variable): factor that is changed or manipulated (on x-axis) - DependentVariable: the factor that depends on (or responds to) the change in the independent variable (on y-axis) * The independent variable is the one the experimenter can control directly. The value of the dependent variable depends on the independent variable.

  3. Line of Best Fit • When constructing a graph, you must draw a line that best represents ALL of your data. • The Line of best fit is a line that best passes through or near graphed data. • It is used to describe data and predict where new data will appear on the graph.

  4. Linear, Quadratic, Root, and Inverse Relationships Linear Relationship A linear relationship is a relationship between the x & y variable where the x & y variable are directlyproportional (direct variation). As x increases, y increases proportionally. The graph of a linear relationship is a straight line and is represented by the equation y = mx +b.

  5. Linear, Quadratic, Root, and Inverse Relationships Slope Slope is calculated using the formula to the right. ALWAYS select 2 points on the line AS FAR APART AS POSSIBLE. The y-intercept (b) is the point where the line crosses the y-axis when x is zero.

  6. Linear, Quadratic, Root, and Inverse Relationships Quadratic Relationship Inverse Relationship In a quadratic relationship, y varies directly with the square of x. The equation for a quadratic relationship is y = kx2 The shape of a quadratic relationship is a parabola. Also called a power curve. In an inverse relationship, y varies inversely of x. As x increases, y decreases. The equation for a quadratic relationship is y = kx-1or y = k/x. The shape of an inverse relationship is a hyperbola.

  7. Linear, Quadratic, Root, and Inverse Relationships Root Curve On a graph, y is proportional to the square root of x. The equation for a root curve is

More Related