Question

scatter plots and
r value
correlation_________
possible r value: ____

correlation_________
possible r value: ____

correlation_________
possible r value: ____

correlation_________
possible r value: ____

Explanation:

Step1: Recall Correlation Types

Correlation can be positive (upward trend), negative (downward trend), or no correlation (random). The correlation coefficient \( r \) ranges from \(-1\) to \(1\). Positive \( r \) (0 to 1) for upward, negative \( r \) (-1 to 0) for downward, \( r \approx 0 \) for no correlation.

Step2: Analyze Each Plot (Assuming Plots: Top - Left, Top - Right, Bottom - Left, Bottom - Right)

• Top - Left Plot: If points show upward trend (positive correlation), \( r \) could be \( 0.8 \) (strong positive).
• Top - Right Plot: If points show downward trend (negative correlation), \( r \) could be \( -0.7 \) (strong negative).
• Bottom - Left Plot: If points are random (no correlation), \( r \approx 0 \).
• Bottom - Right Plot: If points show weak upward trend, \( r \) could be \( 0.3 \) (weak positive).

Answer:

(Example Answers Based on Typical Plots)
Top - Left: Correlation = Positive, \( r = 0.8 \)
Top - Right: Correlation = Negative, \( r = -0.7 \)
Bottom - Left: Correlation = No Correlation, \( r = 0 \)
Bottom - Right: Correlation = Positive (Weak), \( r = 0.3 \)

(Adjust based on actual plot trends. For each plot, identify trend (positive/negative/none) and assign \( r \) in \([-1,1]\) matching the strength.)