Question 4
A social media influencer is compiling information about the relationship between the hour of day of a post and the number of 'likes' on the post. She computes the linear correlation coefficient, $r$, to be -0.13 . What does this tell the social media influencer?
There is a strong negative linear correlation
There is a weak negative linear correlation
There is a strong positive linear correlation
Answer
\(\boxed{\text{Final Answer: There is a weak negative linear correlation.}}\)
Step 1 ：The correlation coefficient, r, ranges from -1 to 1. If r is closer to 1, it indicates a strong positive correlation. If r is closer to -1, it indicates a strong negative correlation. If r is closer to 0, it indicates no correlation or a very weak correlation.
Step 2 ：In this case, r is -0.13, which is close to 0, so it indicates a weak correlation. And because it's negative, it's a weak negative correlation.
Step 3 ：\(\boxed{\text{Final Answer: There is a weak negative linear correlation.}}\)
