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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

Respuesta :

Answer:

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

Step-by-step 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.

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