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A guide for analyzing data MTH 240 – Community College Statistics Students
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Learning Objectives Linear Equations Review Equation of the Line Different Forms of Linear Equations Slope Correlation Scatter Plots Regression Equations Finding the Line of Best Fit Excel Video Example Example: The Unsupervised Student Scatter Plot Regression Equation References 2 Sarah DiCalogero - Regression Equations
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Review Basic Linear Equations Forms of Linear Equations Slope Correlation Create Scatter Plots in Excel Determine Regression Equations in Excel 3 Sarah DiCalogero - Regression Equations
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Basic Linear Equation: 4 Sarah DiCalogero - Regression Equations ymxb
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Regression Line “Line of Best Fit” Different formulas convey same information: 5 Sarah DiCalogero - Regression Equations y b0x b1 ^ ybmx ^ yaxbyabx
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6 Sarah DiCalogero - Regression Equations Hawkes and Marsh (2004)
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Relationship between two variables 7 Sarah DiCalogero - Regression Equations Hawkes and Marsh (2004)
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Graphs of Points x – independent/explanatory variable y – dependent/response variable Example: 8 Sarah DiCalogero - Regression Equations Price in Dollars Number of Bids 285 356 407 438 449
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Regression Equation Positive Slope Y-intercept value < 0 Correlation 10 Sarah DiCalogero - Regression Equations
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11 Sarah DiCalogero - Regression Equations Click on the image to link to the video YouTube (2009)
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12 Sarah DiCalogero - Regression Equations Question: Does the number of hours a high school student spends unsupervised impact their overall grade average? Hours UnsupervisedOverall Grade Average 088 1.582 276 2.575 374 4.569 567
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13 Sarah DiCalogero - Regression Equations Hours Unsupervised Overall Grade Average 088 1.582 276 2.575 374 4.569 567
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14 Sarah DiCalogero - Regression Equations
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Hawkes, J., & Marsh, W. (2004). Discovering Statistics (2nd ed.). Charleston, SC: Hawkes Publishing Inc.. YouTube. (2009). Plotting A Scatter Plot w/ Trendline in Excel. Retrieved from http://www.youtube.com/watch?v=nnM- 7Q6gmUA http://www.youtube.com/watch?v=nnM- 7Q6gmUA 15 Sarah DiCalogero - Regression Equations
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