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| Drain a scatter diagram that might represent each relation: | | | --- | --- | | Number of administrations on staff and the square footage of a hospital | | | Home toilet price and number of popcorn bags sold | | | Choose the most accurate scatter diagram below for the first relation: | | | ☐ A. | ☐ B. | | ☐ B. | ☐ C. | | ☐ D. | ☐ E. | | ☐ F. | ☐ G. | | ☐ H. | ☐ I. | | ☐ J. | ☐ J. | | ☐ K. | ☐ L. | | ☐ L. | ☐ M. | | ☐ N. | ☐ O. | | ☐ O. | ☐ P. | | ☐ P. | ☐ Q. | | ☐ Q. | ☐ R. | | ☐ S. | ☐ T. | | ☐ U. | ☐ V. | | ☐ V. | ☐ W. | | ☐ X. | ☐ Y. | | ☐ Y. | ☐ Z. | | ☐ Z. | ☐ Z. | | ☐ Z. | ☐ Z. | | ☐ Z. | ☐ Z. | | ☐ Z. | ☐ Z. | | ☐ Z. | ☐ Z. | | ☐ Z. | ☐ Z. | | ☐ Z. | ☐ Z. | | ☐ Z. | ☐ Z. | | ☐ Z. | ☐ Z. | | ☐ Z. | ☐ Z. | | ☐ Z. | ☐ Z. | | ☐ Z. | ☐ Z. | | ☐ Z. | ☐ Z. | | ☐ Z. | ☐ Z. | | ☐ Z. | ☐ Z. | | ☐ Z. | ☐ Z. | | ☐ Z. | ☐ Z. | | ☐ Z. | ☐ Z. | | ☐ Z. | ☐ Z. | | ☐ Z. | ☐ Z. | | ☐ Z. | ☐ Z. | | ☐ Z. | ☐ Z. | | ☐ Z. | ☐ Z. | | ☐ Z. | ☐ Z. | | ☐ Z. | ☐ Z. | | ☐ Z. | ☐ Z. | | ☐ Z. | ☐ Z. | | ☐ Z. | ☐ Z. | | ☐ Z. | ☐ Z. | | ☐ Z. | ☐ Z. | | ☐ Z. | ☐ Z. |
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Answer

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Step 1:
I'll solve this problem step by step, focusing on the first relation: Number of administrations on staff and the square footage of a hospital.

Step 2:
: Understand the Scatter Diagram Relationship

A scatter diagram shows the relationship between two variables. For the number of administrations on staff and hospital square footage, we want to determine the type of correlation.

Step 3:
: Analyze the Possible Correlation

In this scenario, we would expect a positive correlation. As the number of administrations increases, the hospital's square footage is likely to increase as well.

Step 4:
: Characteristics of the Correlation

- Positive correlation means as one variable increases, the other tends to increase - The points would trend upward from left to right on the scatter diagram - The relationship appears to be relatively linear

Step 5:
: Select the Appropriate Scatter Diagram

Based on the description, the scatter diagram should show: - Points clustered in an upward-sloping pattern - A clear positive trend - Points that roughly follow a straight line

Step 6:
: Visualization

- $$y$$-axis represents hospital square footage
The scatter diagram would look like a line with a positive slope, where: - Points clustered close to a straight line rising from bottom-left to top-right

Final Answer

The scatter diagram representing the relationship between number of administrations and hospital square footage would show a clear positive linear correlation.