Question

this series of problems will build your fluency with classifying association between two quantities. for each quantity below, name the association and its strength. - use the answer key to determine that pair accurately colored small scatter plot. - if necessary, redoing your work. label each graph with its association and strength. 1. scatter plots a - g 2. scatter plots a - f

Explanation:

To solve this, we analyze each scatter plot for association (positive/negative/no) and strength (strong/moderate/weak):

Problem 1 (First Set of Plots)

Plot A:

• Association: Positive (as \( x \) increases, \( y \) increases).
• Strength: Strong (points lie very close to a straight line).

Plot B:

• Association: Positive (upward trend).
• Strength: Moderate (points follow a trend but with more spread than A).

Plot C:

• Association: Positive (upward trend).
• Strength: Weak (points are somewhat clustered but less tight than B).

Plot D:

• Association: Negative (as \( x \) increases, \( y \) decreases).
• Strength: Weak (points show a trend but are spread out).

Plot E:

• Association: Negative (downward trend).
• Strength: Strong (points lie close to a straight line).

Plot F:

• Association: Negative (downward trend).
• Strength: Moderate (points follow a trend with moderate spread).

Plot G:

• Association: No (points are randomly scattered, no clear trend).

Problem 2 (Second Set of Plots)

Plot A:

• Association: No (random scatter, no trend).

Plot B:

• Association: No (random scatter).

Plot C:

• Association: No (random scatter).

Plot D:

• Association: No (random scatter).

Plot E:

• Association: Positive (upward trend).
• Strength: Weak (points show a slight upward trend with spread).

Plot F:

• Association: Negative (downward trend).
• Strength: Strong (points lie close to a straight line).

Final Labels (Example for Problem 1, Plot A):

• Association: Positive
• Strength: Strong

(Adjust labels based on the specific plot you analyze. For each plot, identify the trend direction (positive/negative/no) and how closely points follow the trend (strong/moderate/weak).)

Answer:

To solve this, we analyze each scatter plot for association (positive/negative/no) and strength (strong/moderate/weak):

Problem 1 (First Set of Plots)

Plot A:

• Association: Positive (as \( x \) increases, \( y \) increases).
• Strength: Strong (points lie very close to a straight line).

Plot B:

• Association: Positive (upward trend).
• Strength: Moderate (points follow a trend but with more spread than A).

Plot C:

• Association: Positive (upward trend).
• Strength: Weak (points are somewhat clustered but less tight than B).

Plot D:

• Association: Negative (as \( x \) increases, \( y \) decreases).
• Strength: Weak (points show a trend but are spread out).

Plot E:

• Association: Negative (downward trend).
• Strength: Strong (points lie close to a straight line).

Plot F:

• Association: Negative (downward trend).
• Strength: Moderate (points follow a trend with moderate spread).

Plot G:

• Association: No (points are randomly scattered, no clear trend).

Problem 2 (Second Set of Plots)

Plot A:

• Association: No (random scatter, no trend).

Plot B:

• Association: No (random scatter).

Plot C:

• Association: No (random scatter).

Plot D:

• Association: No (random scatter).

Plot E:

• Association: Positive (upward trend).
• Strength: Weak (points show a slight upward trend with spread).

Plot F:

• Association: Negative (downward trend).
• Strength: Strong (points lie close to a straight line).

Final Labels (Example for Problem 1, Plot A):

• Association: Positive
• Strength: Strong

(Adjust labels based on the specific plot you analyze. For each plot, identify the trend direction (positive/negative/no) and how closely points follow the trend (strong/moderate/weak).)