Question

1. for the given scatter plots determine the strength and direction of the correlation.

expression	strength	direction
b. scatter plot titled “correlation between invader abundance and native species richness”, x-axis “abundance of invasive alien species”, y-axis “richness of native species”, line equation ( y = 8.8 - 0.29x ), ( r^2 = 0.1 ), points loosely following a weak negative trend
c. scatter plot with x-axis (unlabeled, low to high) and y-axis (unlabeled, low to high), points forming a moderate positive linear trend with some spread

Explanation:

Step1: Analyze Scatter Plot a

The points in plot a are closely clustered around a straight line, indicating a strong correlation. As the x - value (number of KN Vaccines) increases, the y - value (number of tests) also increases, so the direction is positive.

Step2: Analyze Scatter Plot b

The points in plot b are more spread out around the line, and the \(R^{2}=0.1\) (a low \(R^{2}\) value indicates a weak relationship). Also, as the x - value (abundance of invasive alien species) increases, the y - value (richness of native species) decreases, so the direction is negative.

Step3: Analyze Scatter Plot c

The points in plot c are somewhat spread out but still show a general upward trend. They are not as tightly clustered as in plot a but more so than in plot b, so the strength is moderate. As the x - value increases, the y - value increases, so the direction is positive.

For part a:

Strength: Strong; Direction: Positive

For part b:

Strength: Weak; Direction: Negative

For part c:

Strength: Moderate; Direction: Positive

Answer:

• a. Strength: Strong, Direction: Positive
• b. Strength: Weak, Direction: Negative
• c. Strength: Moderate, Direction: Positive