Question

Explain the meaning of the coefficient of determination in this problem Group of answer choices 97.60% of the variation in receipt per theater can be explained by the variation in Twitter activity 98.79% of the variation in receipt per theater can be explained by the variation in Twitter activity 97.60% of the variation in Twitter activity per theater can be explained by the variation in receipts 0.9879% of the variation in receipt per theater can be explained by the variation in Twitter activity

Answer 1

97.60% of the variation in receipt per theater can be explained by the variation in Twitter activity

Explanation:

The coefficient of determination can be computed from the data

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

Here twitter activity be the independent variable and Receipts be the response variable.

Using MS Excel for regression analysis

DATA>DATA ANALYSIS>REGRESSION

Selecting twitter activity as X variable and Receipts as Y variable. We get the following output

SUMMARY OUTPUT

Regression Statistics

Multiple R 0.987916601

R Square 0.97597921

Adjusted R Square 0.971175052

Standard Error 35967.08167

Observations 7

ANOVA

df SS MS F Significance F

Regression 1 2.62805E+11 2.62805E+11 203.1530224 3.06274E-05

Residual 5 6468154818 1293630964

Total 6 2.69273E+11

Coefficients Standard Error t Stat P-value

Intercept -128751.8007 23384.79926 -5.505790293 0.002702573

Receipts 19.41414946 1.362092886 14.25317587 3.06274E-05

We can see that R Square=0.97597921, So the 97.6% of variation in Receipts is explained by its linear relationship with twitter activity or we can say that 97.60% of the variation in receipt per theater can be explained by the variation in Twitter activity.