Movie companies need to predict the gross receipts of an individual movie once the movie has debuted. The table below has the first weekend gross, the U.S. gross and the worldwide gross (in $ millions) of four Harry Potter movies 3.2 Title Sorcerer's Stone Camber of Secrets Prisoner of Azkaban Goblet of Fire First Weekend 90.3 88.4 93.7 102.3 U.S. Gross Worldwide Gross 317.6 262.0 249 5 290.0 976 5 879.0 795 5 896.0 A The sample covariance between the U.S. Gross and the Worldwide Gross is: The sample covariance indicates (a positive / no / a negative) linear relationship between these two variables. B. The correlation coefficient between the U.S. Gross and the Worldwide Gross is This correlation coefficient indicates (perfect positive / strong positive / moderate positive / weak positive / perfect negative strong negative / moderate negative / weak negative / no linear) correlation.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Movie companies need to predict the gross receipts of an individual movie once the movie has debuted. The table below has the first weekend gross, the U.S. gross and the worldwide gross (in $ millions) of four Harry Potter movies 3.2 Title Sorcerer's Stone Camber of Secrets Prisoner of Azkaban Goblet of Fire First Weekend 90.3 88.4 93.7 102.3 U.S. Gross Worldwide Gross 317.6 262.0 249 5 290.0 976 5 879.0 795 5 896.0 A The sample covariance between the U.S. Gross and the Worldwide Gross is: The sample covariance indicates (a positive / no / a negative) linear relationship between these two variables. B. The correlation coefficient between the U.S. Gross and the Worldwide Gross is This correlation coefficient indicates (perfect positive / strong positive / moderate positive / weak positive / perfect negative strong negative / moderate negative / weak negative / no linear) correlation.
SUMMARY OUTPUT
Regression Statistics
Multiple R
R Square
Adjusted R Squa
Standard Error
I DON'T
WANT TO GO
HUNTING
FOR
KNOWLEDGE:
0.4512
0.2036
0.1538
190.5463
I WANT
IT TO
COME AND
GRAB ME.
Observations
18
ANOVA
df
SS
MS
F
Significance
Regression
Residual
Total
148518 148517.9
580927 36307.91
1
4.0905 0.0602
16
17
729444
Coefficients
Standard
t Stat
Lower
P-value
Error
95%
Intercept
Sales (Number
140.9059 138.346
1.018506
0.3236 -152.4
0.08252
0.0408
2.022501
0.0602
-0.004
SUMMARY OUTPUT
Regression Statistics
Multiple R
R Square
Adjusted R Squa
Standard Error
0.7505
0.5633
0.536
771.5549
Observations
18
ANOVA
df
SS
MS
F
Significance
Regression
Residual
1 1.2E+07 12285680
20.638 0.0003
16 9524751
595297
Total
17 2.2E+07
Standard
Lower
Coefficients
t Stat
P-value
Error
95%
Intercept
Price (cents)
7203.8528 898.377
8.018737
5.38E-07 5299.4
-50.5917 11.1364
-4.5429
0.0003
-74.2
Transcribed Image Text:SUMMARY OUTPUT Regression Statistics Multiple R R Square Adjusted R Squa Standard Error I DON'T WANT TO GO HUNTING FOR KNOWLEDGE: 0.4512 0.2036 0.1538 190.5463 I WANT IT TO COME AND GRAB ME. Observations 18 ANOVA df SS MS F Significance Regression Residual Total 148518 148517.9 580927 36307.91 1 4.0905 0.0602 16 17 729444 Coefficients Standard t Stat Lower P-value Error 95% Intercept Sales (Number 140.9059 138.346 1.018506 0.3236 -152.4 0.08252 0.0408 2.022501 0.0602 -0.004 SUMMARY OUTPUT Regression Statistics Multiple R R Square Adjusted R Squa Standard Error 0.7505 0.5633 0.536 771.5549 Observations 18 ANOVA df SS MS F Significance Regression Residual 1 1.2E+07 12285680 20.638 0.0003 16 9524751 595297 Total 17 2.2E+07 Standard Lower Coefficients t Stat P-value Error 95% Intercept Price (cents) 7203.8528 898.377 8.018737 5.38E-07 5299.4 -50.5917 11.1364 -4.5429 0.0003 -74.2
ALL MIGHT BE WELL,
IF THIS WERE
ANOTHER PLACE
AT ANOTHER TIME,
SUMMARY OUTPUT
Regression Statistics
Multiple R
R Square
Adjusted R Squa
Standard Error
Observations
0.9188
0.8444
0.8235
475.8717
AND
I WERE
ANOTHER
PERSON.
18
ANOVA
Significance
df
SS
MS
F
2 1.8E+07
9206812
40.6565 8.771-07
Regression
Residual
15 3396808 226453.9
Total
17 2.2E+07
Lower
Standard
t Stat
P-value
Coefficients
95%
Error
10.87698
-7.85514
1.6E-08 5073.5
-68.95
6309.9944 580.124
Intercept
Price (cents)
-54.2335
6.9042
1.1E-06
Promotional Expens
2.9134 0.56006
5.201966
0.0001 1.7197
SUMMARY OUTPUT
Regression Statistics
Multiple R
R Square
Adjusted R Squa
0.4512
0.2036
0.1538
Standard Error
Observations
1041.9254
18
ANOVA
Significance
df
SS
MS
1 4440695
4440695
4.0905 0.0602
Regression
Residual
16 1.7E+07
1085609
Total
17 2.2E+07
Standard
Lower
Coefficients
t Stat
P-value
95%
Error
2206.4669 552.354 3.994661
2.4673 1.21995 2.022501
0.001 1035.5
Intercept
Promotional Expens
0.0602 -0.119
Transcribed Image Text:ALL MIGHT BE WELL, IF THIS WERE ANOTHER PLACE AT ANOTHER TIME, SUMMARY OUTPUT Regression Statistics Multiple R R Square Adjusted R Squa Standard Error Observations 0.9188 0.8444 0.8235 475.8717 AND I WERE ANOTHER PERSON. 18 ANOVA Significance df SS MS F 2 1.8E+07 9206812 40.6565 8.771-07 Regression Residual 15 3396808 226453.9 Total 17 2.2E+07 Lower Standard t Stat P-value Coefficients 95% Error 10.87698 -7.85514 1.6E-08 5073.5 -68.95 6309.9944 580.124 Intercept Price (cents) -54.2335 6.9042 1.1E-06 Promotional Expens 2.9134 0.56006 5.201966 0.0001 1.7197 SUMMARY OUTPUT Regression Statistics Multiple R R Square Adjusted R Squa 0.4512 0.2036 0.1538 Standard Error Observations 1041.9254 18 ANOVA Significance df SS MS 1 4440695 4440695 4.0905 0.0602 Regression Residual 16 1.7E+07 1085609 Total 17 2.2E+07 Standard Lower Coefficients t Stat P-value 95% Error 2206.4669 552.354 3.994661 2.4673 1.21995 2.022501 0.001 1035.5 Intercept Promotional Expens 0.0602 -0.119
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