22 Matching Annotations
  1. Feb 2025
    1. why it is false.

      (a) False → Removing a collinear predictor does influence other coefficients. (b) True → A 1-unit increase in 𝑥 1 x 1 ​ increases 𝑦 y by 2.5. (c) True → A 1-unit increase in 𝑥 1 x 1 ​ increases 𝑦 y by 5.7.

    2. Dealing with categorical predictors. Two friends, Elliott and Adrian, want to build a model predicting typing speed (average number of words typed per minute) from whether the person wears glasses or not. Before building the model they want to conduct some exploratory analysis to evaluate the strength of the association between these two variables, but they’re in disagreement about how to evaluate how strongly a categorical predictor is associated with a numerical outcome. Elliott claims that it is not possible to calculate a correlation coefficient to summarize the relationship between a categorical predictor and a numerical outcome, however they’re not sure what a better alternative is. Adrian claims that you can recode a binary predictor as a 0/1 variable (assign one level to be 0 and the other to be 1), thus converting it to a numerical variable. According to Adrian, you can then calculate the correlation coefficient between the predictor and the outcome. Who is right: Elliott or Adrian? If you pick Elliott, can you suggest a better alternative for evaluating the association between the categorical predictor and the numerical outcome?

      adrian hat recht

    1. Over-under, I. Suppose we fit a regression line to predict the shelf life of an apple based on its weight. For a particular apple, we predict the shelf life to be 4.6 days. The apple’s residual is -0.6 days. Did we over or under estimate the shelf-life of the apple? Explain your reasoning.

      Das bedeutet:

      Falls 𝑒

      0 e>0 → Der vorhergesagte Wert war zu niedrig (Unterschätzung). Falls 𝑒 < 0 e<0 → Der vorhergesagte Wert war zu hoch (Überschätzung).

    1. What are the variables in the study? Identify each variable as numerical or categorical. If numerical, state whether the variable is discrete or continuous. If categorical, state whether the variable is ordinal.

      Variablen:

      • mooxid (numerical)
      • nitroen (numerical)
      • ozone (numerical, continouous)
      • coarse particulate matter (auch)
      • Länge der Schwangerschaft (numerical continouous)