Choose the most likely correlation value for this scatterplot:r = 0.436r = 0.100r = −0.897r = 0.995r = −0.575
Question
Choose the most likely correlation value for this scatterplot:
r = 0.436
r = 0.100
r = -0.897
r = 0.995
r = -0.575
Solution
Based on the given scatterplot, we need to determine the most likely correlation value.
Step 1: Examine the scatterplot and observe the general trend of the data points.
Step 2: Look for a pattern in the data points. If the points are clustered closely together and form a clear linear pattern, the correlation value is likely to be close to 1 or -1.
Step 3: If the points are scattered and do not follow a clear linear pattern, the correlation value is likely to be close to 0.
Step 4: Compare the scatterplot with the given correlation values: r = 0.436, r = 0.100, r = −0.897, r = 0.995, r = −0.575.
Step 5: Based on the observations made in steps 1-3, determine which correlation value best fits the scatterplot.
Step 6: Choose the most likely correlation value for this scatterplot.
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