match each scatterplot shown below with one of the four specified correlation coefficients. a. -0.68 b. 0.80…

Answer:

Since the scatter - plots are not labeled separately, we'll assume we analyze one by one in order from top to bottom.

1. For a scatter - plot with a moderate negative linear trend: The correlation coefficient is close to a negative value but not too close to - 1. So it could be c. - 0.40.
2. For a scatter - plot with a very weak linear relationship (points are scattered randomly): The correlation coefficient is close to 0. So it could be d. 0.05.
3. For a scatter - plot with a moderate negative linear trend (less strong than the first one in appearance): It could be a. - 0.68.
4. For a scatter - plot with a positive linear trend: The correlation coefficient is positive. So it could be b. 0.80.

Explanation:

Step1: Analyze negative trends

Negative trends mean as one variable increases, the other decreases. The closer the points are to a straight - line pattern for a negative trend, the closer the correlation coefficient is to - 1.

Step2: Analyze weak relationship

When points are scattered randomly with no clear linear pattern, the correlation coefficient is close to 0.

Step3: Analyze stronger negative trend

A stronger negative linear pattern among points corresponds to a correlation coefficient closer to - 1.

Step4: Analyze positive trend

Positive trends mean as one variable increases, the other also increases. A clear positive linear pattern gives a positive correlation coefficient close to 1.