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  1. Prepare
  2. Tutorials
  3. 10 Days of Statistics
  4. Day 8: Least Square Regression Line
  5. Discussions

Day 8: Least Square Regression Line

  • fmueller_de
     + 0 comments

    Python 3 solution with comments, taking the formulas from the tutorial:

    n = 5
X = [95, 85, 80, 70, 60]
Y = [85, 95, 70, 65, 70]

mean_X = sum(X)/len(X)
mean_Y = sum(Y)/len(Y)


# determine the equation parameters for y = a + b*x 

b = ((n * sum(x*y for x, y in zip(X,Y))) - (sum(X) * sum(Y))) / (n * sum(x**2 for x in X) - (sum(X)**2))

a = mean_Y - (b * mean_X)

# calculate the predicted y for x = 80

y_predicted = a + (b * 80)

# should come out to # 78.288
print(round(y_predicted, 3))