Movie Grosses. Box Office Mojo collects and posts data on movie grosses. For a random sample of 50 movies, we obtained both the domestic (U.S.) and overseas grosses, in millions of dollars. The data are presented on the Weiss Stats site.

a. Obtain a scatterplot for the data.

b. Decide whether finding a regression line for the data is reasonable. If so, then also do parts (c)-(f).

Short Answer

Expert verified

a. Obtained scatterplot for the data is,

b. The regression line does not make sense because the data has a large curvature.

Step by step solution

01

Part (a) Step 1: Given Information

The number sample of movies are n=50

Make a scatter plot with the data obtained from the box office mojo.

02

Part (a) Step 2: Explanation 

Based on the question, let's look at an international and domestic movie collection of 50 movies each.

MATLAB will then create a scatterplot with data collection on the x-axis and overseas data collection on the y-axis.

Program:

clc

clear

close all

n=50;

domestic =randi (500,n,1);

overseas =randi (700,n,1);

scatter (domestic,overseas,'linewidth',1.2)

set(gca,'linewidth',1.2,'fontsize',12)

box on

xlabel localid="1650705333008" ('domesticcollection(million$)')

ylabel localid="1650705373184" ('overseascollection(million$)')

title localid="1650705380228" ('N=50')

axis square

The scatterplot representation is,

Query:

As a first step, we have defined the sample size of 50 movies at home and abroad.

After that, create a scatter plot.

Xrepresents the domestic collection axis.

Yrepresents the overseas collection.

03

Part (b) Step 1: Given Information 

Draw a regression line and show whether or not it is realistic.

04

Part (b) Step 2: Explanation 

If the data does not have a strong curvature, the regression line is plausible.

Let's take a 50 movie collection from both domestic and international sources, as suggested in the question.

Then create a scatter plot in MATLAB.

Domestic data gathering is on the x-axis, whereas abroad data collection is on the y-axis.

If the data collection has a higher curvature, the regression line will be useless.

Program:

Clc

clear

close all

n=50;

domestic=randi(500,n,1)

overseas =randi(700,n,1)

localid="1650706440832" [p,s]=polyfit (domestic, overseas,1);

localid="1650706448842" [y_fit, delta] = polyval(p,domestic,s);

scatterlocalid="1650706455504" (domestic,overseas,'linewidth',1.2)

hold on

plotlocalid="1650706462435" (domestic,y_fit,'r-','linewidth',1.2)

setlocalid="1650706467723" (gca,'linewidth',1.2,'fontsize',12)

box on

xlabellocalid="1650706475575" ('Domesticcollection(million$)')

ylabellocalid="1650706483530" ('Overseascollection(million$)')

title localid="1650706490380" ('N=50')

axis square

The data has a high curvature, as shown in the figure, so the regression line isn't plausible.

Query:

  • First, we established the data collection of 50 example movies from both domestic and international locations.
  • After that, make a scatter plot.
  • After that, draw a regression line.
  • Domestic collection is shown on the x-axis.
  • Overseas collection identifier on the Y-axis.

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