The correlation coefficient is r

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Part 2 please
**Graph Description:**

The graph displayed is a scatter plot illustrating the relationship between funding in 2006 and funding in 2012. The x-axis represents the 2006 funding in millions of dollars, ranging from 0 to 350. The y-axis represents the 2012 funding also in millions of dollars, with values from 0 to 200.

There are a few data points plotted on the graph, with one notably near the origin (0,0) and others dispersed in the plotted area. There is also a diagonal reference line or trend line that represents the potential correlation trend among the data points.

**Educational Task:**

Part 1 / 4  
- **Part 2 of 4**

(b) Compute the correlation coefficient between the funding in 2006 and the funding in 2012. Round the answer to at least three decimal places.

"The correlation coefficient is \( r = \_\_\_\_\_ \)."

**Action Buttons:**

- Skip Part
- Check Answer
- Save For Later
- Submit Assignment

Please compute the correlation coefficient using statistical methods or appropriate software tools to find the value of \( r \).
Transcribed Image Text:**Graph Description:** The graph displayed is a scatter plot illustrating the relationship between funding in 2006 and funding in 2012. The x-axis represents the 2006 funding in millions of dollars, ranging from 0 to 350. The y-axis represents the 2012 funding also in millions of dollars, with values from 0 to 200. There are a few data points plotted on the graph, with one notably near the origin (0,0) and others dispersed in the plotted area. There is also a diagonal reference line or trend line that represents the potential correlation trend among the data points. **Educational Task:** Part 1 / 4 - **Part 2 of 4** (b) Compute the correlation coefficient between the funding in 2006 and the funding in 2012. Round the answer to at least three decimal places. "The correlation coefficient is \( r = \_\_\_\_\_ \)." **Action Buttons:** - Skip Part - Check Answer - Save For Later - Submit Assignment Please compute the correlation coefficient using statistical methods or appropriate software tools to find the value of \( r \).
**Government Funding for Arts and Culture**

The following table presents the budget (in millions of dollars) for selected organizations that received government funding for arts and culture in both 2006 and 2012.

| Organization                                      | 2006 | 2012 |
|----------------------------------------------------|------|------|
| Institute of Museum and Library Services           | 247  | 232  |
| National Endowment for the Humanities              | 124  | 146  |
| National Gallery of Art                            | 95   | 128  |
| Kennedy Center for the Performing Arts             | 18   | 23   |
| Advisory Council on Historic Preservation          | 5    | 6    |

A button labeled "Send data to Excel" is available.

**Part 1 of 4**

(a) Task: Construct a scatterplot of the funding in 2012 (y-axis) versus the funding in 2006 (x-axis).

**Graph Explanation:**

- The scatterplot graph has 2012 funding values plotted on the y-axis and 2006 funding values on the x-axis. 
- The grid is marked in increments that correspond to the funding values, with an example data point visible on the chart. 
- The point on the scatterplot represents one of the organizations’ funding data from 2006 and 2012. 

Options available include "Skip Part," "Check Answer," "Save For Later," and "Submit Assignment." 

Additional information at the bottom includes website navigation and service terms.
Transcribed Image Text:**Government Funding for Arts and Culture** The following table presents the budget (in millions of dollars) for selected organizations that received government funding for arts and culture in both 2006 and 2012. | Organization | 2006 | 2012 | |----------------------------------------------------|------|------| | Institute of Museum and Library Services | 247 | 232 | | National Endowment for the Humanities | 124 | 146 | | National Gallery of Art | 95 | 128 | | Kennedy Center for the Performing Arts | 18 | 23 | | Advisory Council on Historic Preservation | 5 | 6 | A button labeled "Send data to Excel" is available. **Part 1 of 4** (a) Task: Construct a scatterplot of the funding in 2012 (y-axis) versus the funding in 2006 (x-axis). **Graph Explanation:** - The scatterplot graph has 2012 funding values plotted on the y-axis and 2006 funding values on the x-axis. - The grid is marked in increments that correspond to the funding values, with an example data point visible on the chart. - The point on the scatterplot represents one of the organizations’ funding data from 2006 and 2012. Options available include "Skip Part," "Check Answer," "Save For Later," and "Submit Assignment." Additional information at the bottom includes website navigation and service terms.
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