Question

6 from unit 3, lesson 7 the correlation coefficient, r, is given for several different data sets. which value for r indicates the weakest correlation? a 0.01 b 0.5 c -0.99 d 1 7 from unit 3, lesson 7 here is a scatter plot. which of the following is the best estimate of the correlation coefficient for the data represented by the scatter plot? a -0.9 b -0.4 c 0.4 d 0.9

Explanation:

Step1: Understand correlation coefficient

The correlation coefficient \(r\) ranges from \(- 1\) to \(1\). The closer \(|r|\) is to \(1\), the stronger the correlation. The closer \(|r|\) is to \(0\), the weaker the correlation.

Step2: Analyze each option for question 6

• For option A: \(|0.01| = 0.01\)
• For option B: \(|0.5|=0.5\)
• For option C: \(|-0.99| = 0.99\)
• For option D: \(|1| = 1\)

Since \(0.01\) is the closest to \(0\) among these values, it indicates the weakest correlation.

Step3: Analyze the scatter - plot for question 7

The scatter - plot shows a negative correlation (as \(x\) increases, \(y\) generally decreases). The points are not extremely close to the regression line (so it's not a very strong correlation).

• Option A (\(-0.9\)) implies a strong negative correlation.
• Option B (\(-0.4\)) implies a moderate negative correlation.
• Option C (\(0.4\)) implies a positive correlation (contradicts the scatter - plot trend).
• Option D (\(0.9\)) implies a strong positive correlation (contradicts the scatter - plot trend).

Answer:

Question 6: A. 0.01
Question 7: B. - 0.4