In: Statistics and Probability
Movie |
Twitter Activity |
Receipts |
The Devil Inside |
219509 |
14763 |
The Dictator |
6405 |
5796 |
Paranormal Activity 3 |
165128 |
15829 |
The Hunger Games |
579288 |
36871 |
Bridesmaids |
6564 |
8995 |
Red Tails |
11104 |
7477 |
Act of Valor |
9152 |
8054 |
a)
Independent variable (x) = Twitter Activity
Dependent variable (y) = Reciepts
b)
Null hypotheses: There is no relation between Twitter activity and Receipts
Alternate hypotheses: There is a relation between Twitter activity and Receipts
c)
R-squared value = 0.9879^2 = 0.9759
Since, the R-squared value is positive and almost 1 means that the linear model fits well for this set of observations
d) Correlation Coefficient = r = 0.9879
Correlation coefficient is closer to 1. So, there is a strong positive correlation between twitter activity and the receipts.