match each correlation coefficient to the appropriate scatter plot. the line in each scatter plot is the…
match each correlation coefficient to the appropriate scatter plot. the line in each scatter plot is the least squares regression line.\nr = 0.3\nr = 0.9
Answer
Explanation:
Step1: Recall Correlation Coefficient
The correlation coefficient ( r ) ranges from -1 to 1. A value close to 1 (or -1) means a strong linear relationship, and close to 0 means a weak linear relationship. The closer the points are to the regression line, the higher the absolute value of ( r ).
Step2: Analyze Top Scatter Plot
In the top scatter plot, the points are more spread out from the regression line. So the correlation coefficient should be weaker, i.e., ( r = 0.3 ) (since it's positive, and 0.3 is closer to 0 than 0.9).
Step3: Analyze Bottom Scatter Plot
In the bottom scatter plot, the points are closer to the regression line, indicating a stronger linear relationship. So the correlation coefficient should be ( r = 0.9 ) (closer to 1).
Answer:
Top scatter plot: ( r = 0.3 )
Bottom scatter plot: ( r = 0.9 )