Question

Question




Which equation BEST represents the line of best fit for the scatter plot?

(1 point)
Responses

y=−3x+2
y is equal to negative 3 x plus 2

y=x−3
y is equal to x minus 3

y=−3x−2
y is equal to negative 3 x minus 2

y=x+3
y is equal to x plus 3
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Answer 1

To determine which equation represents the line of best fit for a scatter plot, you would typically look at the slope and y-intercept of the lines in relation to the overall trend of the data points displayed on the scatter plot. However, since I cannot see the scatter plot, I can provide guidance on how you might decide which of the given equations fits best:

1. **Identify the general trend** of the data points on the scatter plot (increasing, decreasing, or no trend).
2. **Compare the slopes** of the equations:
- A positive slope (like in \(y=x-3\) and \(y=x+3\)) indicates an upward trend, while a negative slope (like in \(y=-3x+2\) and \(y=-3x-2\)) indicates a downward trend.
3. **Inspect the y-intercept** (the value of \(y\) when \(x=0\)):
- For \(y=-3x+2\), the intercept is 2.
- For \(y=x-3\), the intercept is -3.
- For \(y=-3x-2\), the intercept is -2.
- For \(y=x+3\), the intercept is 3.

If the scatter plot has a downward trend and the points cluster around a negative slope, either \(y=-3x+2\) or \(y=-3x-2\) may be likely candidates based on visual approximation. If the plot has a positive trend, one of the equations with a positive slope would be better.

Please evaluate the scatter plot against these guidelines to identify the equation that represents the line of best fit best.