Question

match each scatterplot shown below with one of the four specified correlations. a. -0.02 b. -0.58 c. 0.27 d. 0.80

Explanation:

To solve this, we analyze the direction and strength of the linear relationship in each scatterplot:

First Scatterplot (Top - Most Random)

• The points are very scattered with no clear upward or downward trend.
• A correlation close to 0 (weakest relationship) is appropriate. So, it matches a. -0.02 (near - zero, weak/no linear trend).

Second Scatterplot (Upper - Middle - Positive Trend)

• Points show a moderate upward trend (positive correlation) but not extremely strong.
• Among the positive options (0.27, 0.80), 0.27 is moderate. So, it matches c. 0.27 (moderate positive).

Third Scatterplot (Lower - Middle - Negative Trend)

• Points show a moderate downward trend (negative correlation).
• The negative option with moderate strength is -0.58. So, it matches b. -0.58 (moderate negative).

Fourth Scatterplot (Bottom - Strong Positive Trend)

• Points cluster closely along an upward - sloping line (strong positive correlation).
• The strongest positive option is 0.80. So, it matches d. 0.80 (strong positive).

Final Matches:

1. Top scatterplot: a. -0.02
2. Upper - middle scatterplot: c. 0.27
3. Lower - middle scatterplot: b. -0.58
4. Bottom scatterplot: d. 0.80

(Adjust based on the actual visual trend of each scatterplot; the above assumes typical scatterplot patterns for these correlations.)

Answer:

To solve this, we analyze the direction and strength of the linear relationship in each scatterplot:

First Scatterplot (Top - Most Random)

• The points are very scattered with no clear upward or downward trend.
• A correlation close to 0 (weakest relationship) is appropriate. So, it matches a. -0.02 (near - zero, weak/no linear trend).

Second Scatterplot (Upper - Middle - Positive Trend)

• Points show a moderate upward trend (positive correlation) but not extremely strong.
• Among the positive options (0.27, 0.80), 0.27 is moderate. So, it matches c. 0.27 (moderate positive).

Third Scatterplot (Lower - Middle - Negative Trend)

• Points show a moderate downward trend (negative correlation).
• The negative option with moderate strength is -0.58. So, it matches b. -0.58 (moderate negative).

Fourth Scatterplot (Bottom - Strong Positive Trend)

• Points cluster closely along an upward - sloping line (strong positive correlation).
• The strongest positive option is 0.80. So, it matches d. 0.80 (strong positive).

Final Matches:

1. Top scatterplot: a. -0.02
2. Upper - middle scatterplot: c. 0.27
3. Lower - middle scatterplot: b. -0.58
4. Bottom scatterplot: d. 0.80

(Adjust based on the actual visual trend of each scatterplot; the above assumes typical scatterplot patterns for these correlations.)