Answered: QUESTION 9 Fit a linear model to the…

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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Could you help me with Q9？Thanks a lot

Transcribed Image Text:QUESTION 8 Information for Questions 8- 11: The Internet Movie Database monitors the gross revenues for all maior motion pictures. The accompanying table gives both the U.S. and Worldwide gross revenues for a random sample selected from among the films that were the highest grossing films in the U.S. Movie Title Domestic Gros Worldwide Gross (millions of dollars) (millions of dollars) Avatar 760 2783 Titanic 600 1835 Star Wars: Episode I 431 922 Spider-Man 403 Transformers: Revenge of the Fallen 402 836 Star Wars: Episode III 380 848 The Passion of the Christ 370 604 The Lord of the Rings: The Two Towers 340 921 Finding Nemo 339 865 Spider-Man 3 336 885 329 679 Forrest Gump 318 571 Iron Man 783 Indiana Jones and the Kingdom of the Crystal Skull 317 958 Pirates of the Caribbean: At the World's End 309 934 302 Harry Potter and the Half Blood Prince 179 Men in Black 3 interested in seeing I could use the U.S. gross to predict the gross to that here in the U.S. have a appeal.

QUESTION 9
Fit a linear model to the data and calculate the R-square value. Store the model in Y1.
a. y-hat = -570.8+3.572 x, R-Square 77.9%
O b.
y-hat = -522.4- 205.4x, R-Sq = (91)2
Oc y-hat = 3.822- 470.0x, R-Sq=8.3%
d. y-hat 310.5 3.42x, R-Sq 25.3%
e.
y-hat = -470.0 + 3.822x, R-Sq 82.9%
QUESTION 10
Use the model stored in Y1 to calculate the predicted y-value and residual for Spider-Man 3.
a. y-hat = 886.624, Residual = -36.12
O b. y-hat = 652.45,
Residual = -207.5
Oc.
y-hat 1046,
Residual = -165.1

Expert Solution

Step 1

The values given is shown below

x	y
760	2783
600	1835
431	922
403	806
402	836
380	848
370	604
340	921
339	865
336	885
329	679
318	571
317	783
309	958
302	934
179	624

x is the domestic price

y is the worldwide price.

Step 2

Calculating certain values

x	y	xy	x²	y²
760	2783	2115080	577600	7745089
600	1835	1101000	360000	3367225
431	922	397382	185761	850084
403	806	324818	162409	649636
402	836	336072	161604	698896
380	848	322240	144400	719104
370	604	223480	136900	364816
340	921	313140	115600	848241
339	865	293235	114921	748225
336	885	297360	112896	783225
329	679	223391	108241	461041
318	571	181578	101124	326041
317	783	248211	100489	613089
309	958	296022	95481	917764
302	934	282068	91204	872356
179	624	111696	32041	389376
6115	15854	7066773	2600671	20354208

$s_{x y} = \sum x y - \frac{\sum x \sum y}{n} = 7066773 - \frac{6115 \times 15854}{16} = 1007572 s_{x x} = \sum x^{2} - \frac{{(\sum x)}^{2}}{n} = 2600671 - \frac{6115^{2}}{16} = 263594.4 s_{y y} = \sum y^{2} - \frac{{(\sum y)}^{2}}{n} = 20354208 - \frac{15854^{2}}{16} = 4644876$

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