Which of the following most closely approximates the line of best fit for the data in the scatterplot?

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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The image shows a question from an educational app, with two scatterplots for analysis.

**Question 7:**

A scatterplot is shown.

![Scatterplot]

This scatterplot contains a series of data points plotted on a Cartesian coordinate system, showing a general upward trend from left to right.

**Question:**
Which of the following most closely approximates the line of best fit for the data in the scatterplot?

**Option A:**
A graph is provided below the question, depicting a straight line that closely follows the upward trend of the data points in the scatterplot. This line serves as a visual representation of the line of best fit, summarizing the overall direction of the data.
Transcribed Image Text:The image shows a question from an educational app, with two scatterplots for analysis. **Question 7:** A scatterplot is shown. ![Scatterplot] This scatterplot contains a series of data points plotted on a Cartesian coordinate system, showing a general upward trend from left to right. **Question:** Which of the following most closely approximates the line of best fit for the data in the scatterplot? **Option A:** A graph is provided below the question, depicting a straight line that closely follows the upward trend of the data points in the scatterplot. This line serves as a visual representation of the line of best fit, summarizing the overall direction of the data.
The image shows three scatter plots labeled B, C, and D, each with plotted data points and a line of best fit, illustrating different linear relationships between variables on the x and y axes.

1. **Graph B:**
   - The graph shows a positive correlation between x and y.
   - The line of best fit has a steep upward slope, indicating a strong positive linear relationship.
   - The data points closely follow the line, with minimal deviation.

2. **Graph C:**
   - This graph displays a moderate positive correlation.
   - The line of best fit has a less steep upward slope compared to Graph B, suggesting a weaker positive linear relationship.
   - Some data points deviate more from the line compared to Graph B.

3. **Graph D:**
   - Graph D also shows a positive linear relationship between x and y.
   - The line of best fit is more perfectly aligned with the data points, creating a strong correlation.
   - The slope of the line of best fit is moderate, similar to Graph C.

Each graph highlights different strengths of linear relationships and can be used to teach students about correlation and linear regression.
Transcribed Image Text:The image shows three scatter plots labeled B, C, and D, each with plotted data points and a line of best fit, illustrating different linear relationships between variables on the x and y axes. 1. **Graph B:** - The graph shows a positive correlation between x and y. - The line of best fit has a steep upward slope, indicating a strong positive linear relationship. - The data points closely follow the line, with minimal deviation. 2. **Graph C:** - This graph displays a moderate positive correlation. - The line of best fit has a less steep upward slope compared to Graph B, suggesting a weaker positive linear relationship. - Some data points deviate more from the line compared to Graph B. 3. **Graph D:** - Graph D also shows a positive linear relationship between x and y. - The line of best fit is more perfectly aligned with the data points, creating a strong correlation. - The slope of the line of best fit is moderate, similar to Graph C. Each graph highlights different strengths of linear relationships and can be used to teach students about correlation and linear regression.
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