The equation of the function that models the line of best fit of the given data is: A. y = 3.5x + 85.
What is the Function of a Line of Best Fit on a Scatter Plot?
To find the equation of the function is expressed as, y = mx + b, pick two points on the scatter plot and calculate the slope (m), find the value of b (y-intercept), then plug the values of m and b into y = mx + b.
Using the points, (5, 102) and (7, 109):
Slope (m) = (109 - 102)/(7 - 5) = 7/2 = 3.5
Plug in the values of m = 3.5 and (5, 102) into y - b = m(x - a)
y - 102 = 3.5(x - 5)
Rewrite as y = mx + b
y - 102 = 3.5x - 17.5
y = 3.5x - 17.5 + 102
y = 3.5x + 84.5
y = 3.5x + 85
The function is: A. y = 3.5x + 85
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