Question

amy correctly made a scatter plot of the data in the table. which statement is true based on her scatter plot?

year	digital music revenue (billions of $)
2010	4.7
2011	5.3
2012	6.0
2013	6.4
2014	6.9

a there is a negative linear association.

Explanation:

Step1: Analyze the data trend

Check the relationship between year (independent variable) and digital music revenue (dependent variable). As the year increases from 2009 to 2014, the revenue values are 4.4, 4.7, 5.3, 6.0, 6.4, 6.9. These values are increasing as the year increases.

Step2: Evaluate the statement

The statement claims a negative linear association, which would mean revenue decreases as year increases. But our analysis shows revenue increases with year, so the statement is false? Wait, no—wait, maybe I misread. Wait, the option A (the selected one in the image) says "There is a negative linear association". But from the data: 2009:4.4, 2010:4.7 (increase), 2011:5.3 (increase), 2012:6.0 (increase), 2013:6.4 (increase), 2014:6.9 (increase). So actually, the association is positive. But the question is about the statement in option A. Wait, maybe the user is asking to check if the statement is true? Wait, the data shows that as year (x) increases, revenue (y) increases, so the slope would be positive, meaning positive linear association. So the statement "There is a negative linear association" is false? But maybe I made a mistake. Wait, let's re-express the data:

Year (x): 2009, 2010, 2011, 2012, 2013, 2014 (x increases by 1 each time)

Revenue (y): 4.4, 4.7, 5.3, 6.0, 6.4, 6.9 (y increases each time). So the relationship is positive, so a negative linear association would be incorrect. But the option A is the one with the dot (selected), but that would be a wrong statement. Wait, maybe the question is to identify the correct statement, but the given option A is incorrect. Wait, perhaps the user's question is to determine if the statement "There is a negative linear association" is true. From the data, it's not—because y increases with x. So the statement is false. But maybe I misread the table. Let me check again:

2009: 4.4

2010: 4.7 (higher than 4.4)

2011: 5.3 (higher than 4.7)

2012: 6.0 (higher than 5.3)

2013: 6.4 (higher than 6.0)

2014: 6.9 (higher than 6.4)

So all y-values are increasing as x (year) increases. Therefore, the association is positive, not negative. So the statement "There is a negative linear association" is false. But the option A is marked, which would be incorrect. Wait, maybe the table was reversed? No, year is from 2009 to 2014, increasing, and revenue is increasing. So the correct conclusion is that the statement in option A is false. But perhaps the question is different—maybe the user is asking to check the statement. Let's proceed with the analysis.

Answer:

The statement "There is a negative linear association" is false because as the year (independent variable) increases, the digital music revenue (dependent variable) also increases (from 4.4 billion in 2009 to 6.9 billion in 2014), indicating a positive linear association, not negative. However, if the question is to determine if the statement is true, the answer is that the statement is false. But based on the data, the correct association is positive.