If a trend line has equation yequals15xplus0.4​, what type of association would you expect the data to​ have?

The equation of the trend line is \( y = 15x + 0.4 \). This is a linear equation, and the slope of the line is 15. 

Since the slope is positive, you can expect the data to have a **positive association**. This means that as the value of \( x \) increases, the value of \( y \) increases as well.

The larger the slope, the steeper the increase, which suggests a strong positive association between the variables.

Would you like to go over more details about associations, or do you have any specific questions?

Here are 5 related questions:

1. What does the y-intercept (0.4) in the equation represent in terms of data?
2. How would the association change if the slope were negative?
3. How do you calculate the strength of the association between two variables?
4. What is the interpretation of a zero slope in a trend line?
5. How do you interpret a trend line with respect to a scatter plot?

**Tip:** The slope of a line can tell you a lot about the relationship between two variables—whether it’s positive, negative, or neutral.

If a trend line has equation y = 15x + 0.4, what type of association would you expect the data to have?

Explore how the linear equation y = 15x + 0.4 indicates a positive association between variables. Learn how the slope and y-intercept affect the data's relationship. Suitable for students in Grades 8-10.

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