Determining relationships between number of ratings and ratings

Given the preceding results it appears that people mostly only vote in a positive manner. We can look to see if there is a relationship between how many votes a company has received and their rating.

First, we accumulate the dataset using the following script, extracting the number of votes and rating for each firm:

#determine relationship between number of reviews and star rating
import pandas as pd
from pandas import DataFrame as df  
import numpy as np  

dfr2 = pd.DataFrame(columns=['reviews', 'rating'])
mynparray = dfr2.values

for line in lines:
    line = unicode(line, errors='ignore')
    obj = json.loads(line)
    reviews = int(obj['review_count'])
    rating = float(obj['stars'])
    arow = [reviews,rating]
    mynparray = np.vstack((mynparray,arow)) 

dfr2...