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Class notes 8 - G302 Graphing Techniques Applied to Earth...

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1 G302 - Graphing Techniques Applied to Earth Science I. Graphing Review A. Purpose of graphing - to plot data and allow general relationships to be visualized. B. Basic X-Y (scatterplot) graph 1. Axis a. Y axis = vertical axis (ordinate) b. X axis = horizontal axis (abscissa) C. Graph Trends (see attached figures) 1. Linear Increase / Decrease 2. Constant 3. Parabolic (curvilinear) Increase / Decrease Linear Increase Constant Parabolic D. Determining Slopes of Lines 1. slope of any line on a graph = rise / run = (Y 2 - Y 1 ) / (X 2 - X 1 ) Positive Slope Negative Slope Zero Slope Undefined Slope
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2 E. Linear Relationships - represented by uniform change of y relative to x 1. General Equation for Line: Y = mX + B where Y = variable on ordinate axis, X = variable on abcissa, m = slope of line, B = y-intercept (value on y axis where line intercepts it) a. Sloping line downward to right = negative slope b. sloping line downward to left = positive slope F. Relationships other than linear 1. Quadratic Equation a. form: Y = aX 2 + bX + C where y is a function of x, while a,b, and c are constants 2. Polynomial Functions of higher order (expanded quadratic equation) a. e.g. form: Y = aX
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