Linear Regression on Pandas DataFrame using Sklearn ( IndexError: tuple index out of range)

Question

I'm new to Python and trying to perform linear regression using sklearn on a pandas dataframe. This is what I did:

data = pd.read_csv('xxxx.csv')

After that I got a DataFrame of two columns, let's call them 'c1', 'c2'. Now I want to do linear regression on the set of (c1,c2) so I entered

X=data['c1'].values
Y=data['c2'].values
linear_model.LinearRegression().fit(X,Y)

which resulted in the following error

IndexError: tuple index out of range

What's wrong here? Also, I'd like to know

1. visualize the result
2. make predictions based on the result?

I've searched and browsed a large number of sites but none of them seemed to instruct beginners on the proper syntax. Perhaps what's obvious to experts is not so obvious to a novice like myself.

Can you please help? Thank you very much for your time.

PS: I have noticed that a large number of beginner questions were down-voted in stackoverflow. Kindly take into account the fact that things that seem obvious to an expert user may take a beginner days to figure out. Please use discretion when pressing the down arrow lest you'd harm the vibrancy of this discussion community.

Answer 1

Let's assume your csv looks something like:

c1,c2
0.000000,0.968012
1.000000,2.712641
2.000000,11.958873
3.000000,10.889784
...

I generated the data as such:

import numpy as np
from sklearn import datasets, linear_model
import matplotlib.pyplot as plt

length = 10
x = np.arange(length, dtype=float).reshape((length, 1))
y = x + (np.random.rand(length)*10).reshape((length, 1))

This data is saved to test.csv (just so you know where it came from, obviously you'll use your own).

data = pd.read_csv('test.csv', index_col=False, header=0)
x = data.c1.values
y = data.c2.values
print x # prints: [ 0.  1.  2.  3.  4.  5.  6.  7.  8.  9.]

You need to take a look at the shape of the data you are feeding into .fit().

Here x.shape = (10,) but we need it to be (10, 1), see sklearn. Same goes for y. So we reshape:

x = x.reshape(length, 1)
y = y.reshape(length, 1)

Now we create the regression object and then call fit():

regr = linear_model.LinearRegression()
regr.fit(x, y)

# plot it as in the example at http://scikit-learn.org/
plt.scatter(x, y,  color='black')
plt.plot(x, regr.predict(x), color='blue', linewidth=3)
plt.xticks(())
plt.yticks(())
plt.show()

See sklearn linear regression example.