In which scatter plot is r=0.3? (A) (D) (B) (E) The graph() shows a scatter plot with a correlation coefficient of r=0.3. (Type A, B, C, D, E, or F.) (C) (F)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
Section: Chapter Questions
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The image presents a set of six scatter plots labeled (A) through (F). It poses the question: "In which scatter plot is r = 0.3?" Here, "r" refers to the correlation coefficient, a measure of the strength and direction of a linear relationship between two variables.

- Scatter Plot (A): Data points with a slight downward trend.
- Scatter Plot (B): Data points with a slight upward trend, more linear than (A).
- Scatter Plot (C): Data points scattered widely with no apparent trend.
- Scatter Plot (D): Data points tightly clustered with a strong downward trend.
- Scatter Plot (E): Data points widely scattered, showing a weak positive trend.
- Scatter Plot (F): Data points moderately scattered with a downward trend.

A note at the bottom asks: "The graph [ ] shows a scatter plot with a correlation coefficient of r = 0.3. (Type A, B, C, D, E, or F.)" indicating that one of these graphs corresponds to an r value of 0.3, typically indicating a weak positive linear relationship.
Transcribed Image Text:The image presents a set of six scatter plots labeled (A) through (F). It poses the question: "In which scatter plot is r = 0.3?" Here, "r" refers to the correlation coefficient, a measure of the strength and direction of a linear relationship between two variables. - Scatter Plot (A): Data points with a slight downward trend. - Scatter Plot (B): Data points with a slight upward trend, more linear than (A). - Scatter Plot (C): Data points scattered widely with no apparent trend. - Scatter Plot (D): Data points tightly clustered with a strong downward trend. - Scatter Plot (E): Data points widely scattered, showing a weak positive trend. - Scatter Plot (F): Data points moderately scattered with a downward trend. A note at the bottom asks: "The graph [ ] shows a scatter plot with a correlation coefficient of r = 0.3. (Type A, B, C, D, E, or F.)" indicating that one of these graphs corresponds to an r value of 0.3, typically indicating a weak positive linear relationship.
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