Answered: USGross Budget Run Time ($M) Movie ($M)…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

Movie profit What can predict how much a motion picture
will make? We have data on a number of movies that includes
the USGross (in $), the Budget ($), the Run Time (minutes),
and the average number of Stars awarded by reviewers. The
first several entries in the data table look like this:

We want a regression model to predict USGross. Parts of
the regression output computed in Excel look like this:
Dependent variable is USGross($)
R-squared = 47.4, R-squared (adjusted) = 46.0,
s = 46.41 with 120 - 4 = 116 degrees of freedom
Variable Coefficient SE(Coeff) t-Ratio P-Value
Intercept -22.9898 25.70 -0.895 0.3729
Budget($) 1.13442 0.1297 8.75 ...0.0001
Stars 24.9724 5.884 4.24 ...0.0001
Run Time -0.403296 0.2513 -1.60 0.1113

a) Write the multiple regression equation.
b) What is the interpretation of the coefficient of Budget
in this regression model?

USGross Budget Run Time
($M)
Movie
($M) (minutes) Stars
White Noise
56.094360
30
101
2
Coach Carter
67.264877
45
136
3
Elektra
24.409722
65
100
2
Racing Stripes
49.772522
30
110
3
Assault on Precinct 13 20.040895
30
109
3
Are We There Yet?
82.674398
20
94
2
Alone in the Dark
5.178569
20
96
1.5
Indigo
51.100486
25
105
3.5
We want a regression model to predict USGross. Parts of
the regression output computed in Excel look like this:
Dependent variable is USGross($)
R-squared = 47.4% R-squared (adjusted) = 46.0%
s = 46.41 with 120 – 4 = 116 degrees of freedom
Variable
Coefficient SE(Coeff) t-Ratio P-Value
25.70
-0.895
Intercept
Budget($)
-22.9898
0.3729
1.13442
0.1297
8.75
<0.0001
Stars
24.9724
5.884
4.24
<0.0001
Run Time
-0.403296
0.2513
-1.60
0.1113

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