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Let f(x) represent the line of best fit. Based on the graph, what is f(95)?

To solve the problem, we need to estimate the value of \( f(95) \) based on the line of best fit shown in the graph.

Here's how we'll approach this:

1. **Identify the line of best fit:** The graph already provides the line of best fit. We can estimate its equation using two points on the line. Once we have the equation, we can substitute \( x = 95 \) into the equation to find \( f(95) \).

2. **Find two points on the line:** By closely observing the graph, we can extract two points that the line passes through.

Let me analyze the image and compute \( f(95) \).The estimated value of \( f(95) \) based on the line of best fit is approximately **71.18**.

Would you like more details on how the equation was derived, or do you have any further questions?

Here are 5 related questions to expand your understanding:
1. How do we calculate the slope of a line between two points?
2. How can you determine if a point lies on a line given its equation?
3. What is the purpose of a line of best fit in data analysis?
4. How would outliers affect the calculation of the line of best fit?
5. Can the method used here be applied to nonlinear data?

**Tip:** When working with the line of best fit, selecting points accurately from the graph is crucial for getting precise results.

Learn how to estimate f(95) using linear regression and graph interpretation. Understand the importance of the line of best fit in data analysis. Suitable for high school students and those interested in data interpretation.

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