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Multivariate-Linear-Regression

In this assignment, multivariate linear regression models have been developed for the 3D Road Network (North Jutland, Denmark) Data Set using gradient descent, stochastic gradient descent, solving normal equations and gradient descent with regularisation. R squared, RMSE and Squared Error values have been calculated and compared for each model.

Dataset

  • Number of Instances: 43487
  • Number of Attributes: 4

Attributes:

  • OSM_ID: OpenStreetMap ID for each road segment or edge in the graph.
  • LONGITUDE: (Google format) longitude
  • LATITUDE: (Google format) latitude
  • ALTITUDE: Height in meters.

The first attribute(OSM_ID) has been dropped. LONGITUDE and LATITUDE values have been used to predict the target variable, ALTITUDE.