Actor Steven Seagal has demanded an exorbitant salary to star in
the movie, “The Expendables, Part 4”. One analyst
thinks that the overall Rotten Tomatoes score of a movie determines
its ultimate earnings. Another analyst thinks that Seagal’s
presence alone will boost earnings, regardless of the quality of
the movie. To test both of these theories, the
following data is collected for six action movies:
Earnings (millions) |
Rotten Tomatoes Rating |
With Seagal (1 = yes, 0 =
no) |
55 |
80 |
0 |
10 |
15 |
0 |
72 |
92 |
1 |
66 |
71 |
1 |
14 |
20 |
0 |
22 |
41 |
1 |
A multiple regression is performed and these are the results:
SUMMARY OUTPUT
Regression
Statistics |
Multiple R |
0.67 |
R Square |
0.85 |
Adjusted R Square |
0.70 |
Standard Error |
19.07 |
Observations |
10.00 |
|
Coefficients |
Standard Error |
Intercept |
4.23 |
7.41 |
Rotten Tomatoes Rating |
0.80 |
0.14 |
With Seagal (1 = yes, 0 =
no) |
3.35 |
8.32 |
Determine the statistical significance of the two independent
variables. Assume a t-statistic with an absolute value greater than
2 is statistically significant.
|
Rotten Tomatoes is significant and Seagal is not
significant |
|
Rotten Tomoatoes is not significant and Seagal is
significant |
|
Both Rotten Tomatoes and Seagal are significant |
|
Neither Rotten Tomatoes nor Seagal is significant. |