Which equation BEST represents the line of best for the scatterplot?
A.y = 2/3x + 100
B.y = 100x + 24
C.y = 100/3x + 100
D.y = -100x + 50
E.y = -3/2x + 100
Without seeing the scatterplot, it is impossible to determine the equation of the line of best fit.
To determine which equation best represents the line of best fit for the scatterplot, we need to examine the slope and y-intercept values.
The slope of the line of best fit represents how steep the line is, while the y-intercept represents the value of y when x is 0.
Let's compare the given equations:
A. y = 2/3x + 100
B. y = 100x + 24
C. y = 100/3x + 100
D. y = -100x + 50
E. y = -3/2x + 100
By examining the equations, we can see that option D, y = -100x + 50, has a slope of -100 and a positive y-intercept of 50. This means the line would have a steep negative slope and intersect the y-axis at y = 50.
Since the equation y = -100x + 50 does not represent a line of best fit for the scatterplot, we can eliminate option D.
Next, let's look at the other equations:
A. y = 2/3x + 100
B. y = 100x + 24
C. y = 100/3x + 100
E. y = -3/2x + 100
Now, we need to draw conclusions based on the given information. Without any further details about the scatterplot, it is difficult to determine the exact equation for the line of best fit.
However, we can analyze the slopes and y-intercepts to make an educated guess.
Option E, y = -3/2x + 100, suggests a negative slope, which might be inconsistent with the data depicted by the scatterplot. So, we can eliminate option E.
Now we have three remaining equations:
A. y = 2/3x + 100
B. y = 100x + 24
C. y = 100/3x + 100
Unfortunately, without additional information or context about the scatterplot, we cannot definitively determine which equation best represents the line of best fit.