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Statistical Models
Association between numerical variables

Statistical Models
Bivariate Statistics
  • The statistical investigation process
  • Association between variables
  • The effects of outliers on correlation
  • Causality
  • Interpreting Pearson's correlation coefficient
  • Calculating linear regression {TI-84 Plus CE}
  • Interpreting values of linear regression
  • Residual plots {TI-84 Plus CE}
  • Calculating exponential regression {TI-84 Plus CE}
  • Interpreting values of exponential regression
  • ​Interpolation and extrapolation​
The Normal Distribution
  • Properties of the bell shape curve
  • Finding integral and non-integral probabilities {TI-84 Plus CE}
  • Finding quantiles {TI-84 Plus CE}​
We can observe if there is a relationship between two numerical variables by using a scatterplot. When observing if a relationship between two variables exist, we observe three main characteristics:
Strength: how strong is the relationship between the two variables.
Direction: whether the relationship is increasing or decreasing.
Linearity: whether the relationship is linear or non-linear.

When creating the scatterplot, we usually place the independent (explanatory) variable on the horizontal x-axis and the dependent (response) variable on the vertical y-axis. However, there are some situations where the two variables are dependent on each other, which we refer to as co-dependent. In these situations the variables can be placed on either axis.

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