The question asks for the line of best fit for the scatter plot provided.

Observing the scatter plot:

The data shows an upward trend, indicating a positive correlation between the x-values and y-values. The line of best fit should:

1. Approximate the center of the data points.
2. Reflect the general direction of the data points (slightly upward, positive slope).
3. Not skew too high or too low but balance between the points.

Examining the options:

• Option A: The line appears too steep and overestimates the y-values.
• Option B: The line appears too flat and underestimates the y-values.
• Option C: The line aligns well with the center of the scatter plot, accurately reflecting the data's trend.
• Option D: The line is almost flat and does not reflect the data's upward trend at all.

Correct Answer:

The best choice is Option C because it properly represents the upward trend of the scatter plot and balances the data points.

Would you like me to explain how to calculate the line of best fit mathematically? Here are some related questions:

1. What is the equation for the line of best fit?
2. How do you determine the slope of a line given two points?
3. What is positive versus negative correlation in scatter plots?
4. How do you measure the strength of a correlation?
5. What is the difference between interpolation and extrapolation?

Tip: The line of best fit minimizes the distance between the line and all the data points, ensuring the best approximation of the trend.