Use the data shown in the graph to write a quadratic regression equation. Then predict the box office revenue in 2013. Let x represent the number of years since 2000. Millions of dollars Box office revenue 32- 31- 30+ 29- 28- 27+ 2004 2005 2006 2007 2008 2009 Year 28.9 28.7 29.4 30.8
Use the data shown in the graph to write a quadratic regression equation. Then predict the box office revenue in 2013. Let x represent the number of years since 2000. Millions of dollars Box office revenue 32- 31- 30+ 29- 28- 27+ 2004 2005 2006 2007 2008 2009 Year 28.9 28.7 29.4 30.8
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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![**Graph-based Quadratic Regression Analysis**
**Instructions:** Use the data shown in the graph to write a quadratic regression equation. Then predict the box office revenue in 2013. Let \( x \) represent the number of years since 2000.
**Graph Description:**
- **Title:** Box Office Revenue
- **Y-Axis (Vertical):** "Millions of dollars" ranging from 27 to 32.
- **X-Axis (Horizontal):** "Years" ranging from 2004 to 2009.
- **Data Points:**
- Year 2004: Box office revenue is \$28.9 million.
- Year 2005: Box office revenue is \$28.7 million.
- Year 2007: Box office revenue is \$29.4 million.
- Year 2008: Box office revenue is \$30.8 million.
The graph shows the movement in box office revenue over time, with a slight dip in 2005 followed by a gradual increase through to 2008. The trend and data from the graph need to be utilized to form a quadratic regression equation. This equation can then project future box office revenue, specifically to predict for the year 2013.
**Objective:** By analyzing the trend in the graph, derive a quadratic equation that best fits the presented data points and use it to forecast the box office revenue for subsequent years.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd2a881fc-0749-48b7-aba0-5bec7959e8c8%2Fe05fcb57-1c41-4dc5-a9ec-eca45ddaf781%2F5a2m079_processed.png&w=3840&q=75)
Transcribed Image Text:**Graph-based Quadratic Regression Analysis**
**Instructions:** Use the data shown in the graph to write a quadratic regression equation. Then predict the box office revenue in 2013. Let \( x \) represent the number of years since 2000.
**Graph Description:**
- **Title:** Box Office Revenue
- **Y-Axis (Vertical):** "Millions of dollars" ranging from 27 to 32.
- **X-Axis (Horizontal):** "Years" ranging from 2004 to 2009.
- **Data Points:**
- Year 2004: Box office revenue is \$28.9 million.
- Year 2005: Box office revenue is \$28.7 million.
- Year 2007: Box office revenue is \$29.4 million.
- Year 2008: Box office revenue is \$30.8 million.
The graph shows the movement in box office revenue over time, with a slight dip in 2005 followed by a gradual increase through to 2008. The trend and data from the graph need to be utilized to form a quadratic regression equation. This equation can then project future box office revenue, specifically to predict for the year 2013.
**Objective:** By analyzing the trend in the graph, derive a quadratic equation that best fits the presented data points and use it to forecast the box office revenue for subsequent years.
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