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

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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.
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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