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Bivariate Data

Bivariate Data. Chapters 7-10. Formulas. Predicted Response Variable = B o + B 1 ( Explanatory Variable ). When analyzing a scatterplot you will want to note strength, direction, form, and outliers. Key Players:

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Bivariate Data

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  1. Bivariate Data Chapters 7-10

  2. Formulas PredictedResponse Variable = Bo + B1(Explanatory Variable)

  3. When analyzing a scatterplot you will want to note strength, direction, form, and outliers.

  4. Key Players: r: Correlation – tells strength and direction of a linear relationship r2: Coefficient of determination – tells the amount of variability in the Response variable explained by the LSRL or by the explanatory variable bo: y-intercept – tells the starting point or the amount when the explanatory variable = 0. Can be an extrapolation. b1: Slope – Rate of change, tells how much the response variable changes when the explanatory variable goes up by 1 (or by the units Indicated on the x-axis)

  5. Interpreting r, r2, b0, and b1 r = .99: Strong, positive linear relationship between time in hours and log of pop r2 = .982: 98.2% of the variation in log of population is explained by hours or by the LSRL b1 = .115: As hours increases by 1, log of pop will increase by about .115 b0 = .322: When hours = 0, log predicted pop will equal .322, substituting 0 into equation we get 103.22 = about 2.1 or predicted pop = about 2.1 thousand

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