To analyze the given information about Ava's hitting attempts and corresponding kills, first, let's understand what the slope of the line of best fit means in this context.
The slope \( m \) of a line represents the rate of change. In this case, the slope of \( \frac{1}{2} \) indicates that for every hitting attempt (x), Ava averages \(\frac{1}{2}\) of a kill. This means that for every 2 hitting attempts, Ava is expected to get 1 kill.
Next, let's represent this slope using the following definitions:
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Slope Representation: The slope can be represented as the ratio of change in kills to change in hitting attempts. Mathematically, if we consider two points on the line:
\[ \text{slope} = \frac{\Delta f(x)}{\Delta x} = \frac{\text{change in kills}}{\text{change in hitting attempts}} = \frac{1}{2} \]
This means that if she increases her hitting attempts by 2, her number of kills increases by 1.
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Intercept Representation: The y-intercept (not provided in your question) is the expected value of kills when the number of attempts (x) is zero.
Now let's analyze the statements:
To find the accuracy of specific statements:
- If a statement claims that for every 2 hitting attempts, Ava makes 1 kill, then it is accurate because that matches the slope of \(\frac{1}{2}\).
- If it states that as hitting attempts increase, the kills also increase, this is also true based on the positive slope.
Examples of accurate statements:
- "For every 2 hitting attempts, Ava scores approximately 1 kill."
- "If Ava has 0 hitting attempts, the expected number of kills would be the y-intercept."
If you have specific statements in mind that need to be evaluated for accuracy, please provide them so I can help you assess which one is accurate based on the slope of \(\frac{1}{2}\).