MovieTwitter ActivityReceiptsThe Devil Inside21950914763The Dictator64055796Paranormal Activity 316512815829The Hunger Games57928836871Bridesmaids65648995Red Tails111047477Act of Valor91528054 a) What is the independent variable (X) and what is the dependent variable (y)b) Write a null and alternative hypothesis statementc) What is the R-squared value and interpret it’s meaning?

Question
Asked Dec 1, 2019
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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) What is the independent variable (X) and what is the dependent variable (y)

b) Write a null and alternative hypothesis statement

c) What is the R-squared value and interpret it’s meaning?

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Expert Answer

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Step 1

(a)

Here, independent variable is Twitter Activity, because it does not depend on another variable and the dependent variable is Receipts Because it does not depend on Twitter Activity.

(b)

The hypotheses are given below:

Null hypothesis:

H0: there is no relationship between Twitter Activity and Receipts.

Alternative hypothesis:

Ha: there is relationship between Twitter Activity and Receipts.

Step 2

(c)

Step-by-step procedure to obtain the R-squared value using Excel:

  • In Excel sheet, enter Twitter Activity in one column and enter Receipts in one column.
  • In Data, select Data Analysis and choose Regression.
  • In Input Variable y Range, select Post-test.
  • In Input Variable x Range, select Rec...
SUMMARY OUTPUT
Regression Statistics
Multiple R
0.987916601
R Square
0.97597921
Adjusted R Square
0.971175052
Standard Error
1830.236093
Observations
7
ANOVA
Significance F
df
SS
MS
Regression
1
680514712.6 680514712.6 203.1530224
3.06274E-05
Residual
5
16748820.78 3349764.156
Total
6
697263533.4
Coefficients Standard Error
t Stat
P-value
Lower 95%
Lower 95.0%
Upper 95.0 %
Upper 95%
6808.104703
Intercept
854.9682277 7.962991468 0.000503737 4610.338906 9005.870499 4610.338906 9005.870499
Twitter Activity
0.050271541
0.003527041 14.25317587 3.06274E-05 0.041204992 0.059338089 0.041204992 0.059338089
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SUMMARY OUTPUT Regression Statistics Multiple R 0.987916601 R Square 0.97597921 Adjusted R Square 0.971175052 Standard Error 1830.236093 Observations 7 ANOVA Significance F df SS MS Regression 1 680514712.6 680514712.6 203.1530224 3.06274E-05 Residual 5 16748820.78 3349764.156 Total 6 697263533.4 Coefficients Standard Error t Stat P-value Lower 95% Lower 95.0% Upper 95.0 % Upper 95% 6808.104703 Intercept 854.9682277 7.962991468 0.000503737 4610.338906 9005.870499 4610.338906 9005.870499 Twitter Activity 0.050271541 0.003527041 14.25317587 3.06274E-05 0.041204992 0.059338089 0.041204992 0.059338089

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