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Graphs are an essential tool for organizing and presenting data, showcasing the relationships between variables more effectively than traditional data charts. This guide explores various types of graphs, including circle/pie graphs for illustrating percentages, bar graphs for comparing multiple answers, and scatter/line graphs to demonstrate changes in related variables through equations like y = mx + b. Understanding these relationships, including direct, quadratic, and inverse relationships, is crucial for accurate data interpretation and communication.
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Relationships Between Variables Making Pictures Out of Numbers
Why Graphs? Good way of organizing data Better than data charts at showing the relationship between variables
Types of Graphs • Circle/Pie Graph • Good for showing percentages, or “parts of the whole” • Bar Graph • Good for showing comparisons between multiple answers to the same question • Scatter/Line Graph • Good for showing changes that occur in related variables
y = x or y = mx + b, where b=0 Direct Relationships
y = mx + b Direct RelationshipNon-Zero Intercept
y = ax2 + bx+ c Quadratic Relationship
y = ax-b Inverse Relationship