Which equation best fits the data shown in the scatter plot?

Question

(1 point)
Responses

y=34x+16
y is equal to 3 fourths x plus 16

y=−34x+16
y is equal to negative 3 fourths x plus 16

y=16x+34
y is equal to 16 x plus 3 fourths

y=−16x+34
y is equal to negative 16 x plus 3 fourths
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Answer 1

To determine which equation best fits the data shown in a scatter plot, you would typically look at the pattern of the points in the plot. The slope of the line (coefficient of x) indicates whether the relationship is positive or negative and how steep the line is.

Based on the provided options, the first and third equations have a positive slope, while the second and fourth have a negative slope.

• If the scatter plot shows an upward trend (as x increases, y also increases), then the equations with positive slopes would be more appropriate:

  • \(y = 34x + 16\)
  • \(y = 16x + 34\)

• If the scatter plot shows a downward trend (as x increases, y decreases), then the equations with negative slopes would be more appropriate:

  • \(y = -34x + 16\)
  • \(y = -16x + 34\)

Since I can't see the scatter plot, I recommend examining it closely to identify the trend and then selecting the line with the appropriate slope and y-intercept. If possible, also consider which y-intercept (the constant term) makes more sense given the context of the data.

Answer 2

pick one

Answer 3

Since I don't have access to the scatter plot you're referring to, I can't make a definite choice. However, if I must choose one at random, I will select:

y = 34x + 16

Please note that this choice may not necessarily be the best fit without viewing the data in the scatter plot. I recommend you consider the direction of the trend in the plot to make the most accurate selection.