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VISUALIZING DATA Ch. 2 Sect. 3

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Graphing Data Charts are used to help analyze data Independent variable Variable that is changed or manipulated Experimenter can control directly Dependant variable Outcome of dependant “depends” on the independent variable

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Graphing Circular objects Use a meterstick to measure the diameter of four circular objects and a string to measure circumference ObjectDiameterCircumference

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Graphing Data Use the data and make a circumference vs. diameter graph X-axis = Diameter Y-axis = circumference The graph shows a linear relationship Slope should be about 3.14 Expressed as circumference = 3.14 x diameter Formula Equals Pi (л)

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Linear Relationships Straight line through all data points Dependant varies linearly with Independent Y = mx + b Slope (m) is the ratio of vertical change to the horizontal change Find by selecting 2 points far apart Should not be data points but points on the line m = Δy (rise) / Δx (run)

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Linear Relationships Y – Intercept (b) is the point at which the line crosses the y-axis when the value of x is zero When y-intercept is zero, b = 0, equation is y = mx

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Non-linear Relationships When graphs being presented are not in a straight line Graphed in a curved line or Parabola Related by the Quadratic Relationship y = ax 2 + bx + c One variable depends on the square on another

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Non-linear Relationships

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Inverse repationships Hyperbola One variable is dependant on the inverse of another y = (a / x) or xy = a a is constant

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Homework: For each of the four types of relationships, find a physics equation that demonstrates that relationship and state which variables show that.

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