Problem

Here are several scatterplots. The calculated correlations are $-0.021,0.736$, 0.951 , and -0.923 .

Which is which?

Match each scatterplot with its calculated correlation.
(a)
(b)
(c)
(d)
Points: 0 of 1
Save
(a)
(b)
(c)
(d)

Answer

Expert–verified
Hide Steps
Answer

Without the actual scatterplots, we can't definitively match each one with its calculated correlation. However, based on the characteristics described above, we can make educated guesses.

Steps

Step 1 :The correlation coefficient measures the strength and direction of the linear relationship between two variables. It ranges from -1 to 1, where -1 indicates a perfect negative linear relationship, 1 indicates a perfect positive linear relationship, and 0 indicates no linear relationship.

Step 2 :We are given four correlation coefficients and four scatterplots. We need to match each scatterplot with its calculated correlation.

Step 3 :A scatterplot with a correlation of -0.021 would show points scattered all over the plot with no clear pattern, indicating no linear relationship.

Step 4 :A scatterplot with a correlation of 0.736 would show points that are somewhat close to a straight line sloping upwards, indicating a moderate to strong positive linear relationship.

Step 5 :A scatterplot with a correlation of 0.951 would show points very close to a straight line sloping upwards, indicating a very strong positive linear relationship.

Step 6 :A scatterplot with a correlation of -0.923 would show points very close to a straight line sloping downwards, indicating a very strong negative linear relationship.

Step 7 :Without the actual scatterplots, we can't definitively match each one with its calculated correlation. However, based on the characteristics described above, we can make educated guesses.

link_gpt