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Statistics and Linear Algebra 4

1.The way to calculate the slope: the covariance of x and y divided by the variance of x

  from numpy import cov
  slope_density = cov(wine_quality["quality"],wine_quality["density"])[0,1]/wine_quality["density"].var() #cov(x,y) is the function from numpy, which returns a 2*2 metric,.var() is pandas function.

2.To get the intercept: b = y - ax( x and y are the mean value of each column)

  intercept_density = wine_quality["quality"].mean() - wine_quality["density"].mean() * (calc_slope(wine_quality["density"],wine_quality["quality"])) 

Statistics and Linear Algebra 4