Question

a group of students tracked how many minutes they listened to music each day and rated their mood on a scale from 1 (poor) to 10 (excellent). they recorded the data on a scatterplot to look for a pattern.
questions:

1. what kind of pattern do you notice in the scatterplot?
2. one student listened to a lot of music but still had a low mood rating. how does this unusual data point affect the overall pattern?

Explanation:

1. Pattern in Scatterplot:

• As music - listening time increases, the mood rating generally tends to increase. There is a positive association between music - listening time and mood rating. However, the relationship is not perfectly linear as the points are somewhat scattered.

1. Effect of Unusual Data Point:

• The unusual data point (a lot of music listening but low mood rating) is an outlier. It weakens the strength of the positive association. If we were to fit a line (like a trend line) to the data, this outlier would pull the line downwards (in terms of the predicted mood rating for a given music - listening time), making the relationship appear less strong than it might be without the outlier.

Answer:

1. There is a positive, but not perfectly linear, association between music - listening time and mood rating.
2. The unusual data point (outlier) weakens the strength of the positive association between music - listening time and mood rating.