Find the equation of the line of best fit for the points (−3, –40), (1, 12) (5, 72), and (7, 137)
(1 point)
Responses
y = 3x + 17
y = 3 x + 17
y = 17x + 3
y = 17 x + 3
y = 3x + 1
y = 3 x + 1
y = x + 3
None of the given equations are the equation of the line of best fit for the given points. To find the equation of the line of best fit, we can use the least squares method.
Using the given points, we can calculate the slope and intercept of the line:
slope = (y2 - y1) / (x2 - x1)
= (12 - (-40)) / (1 - (-3))
= 52 / 4
= 13
Using the slope and one of the points, we can find the intercept:
y = mx + b
12 = 13(1) + b
12 = 13 + b
b = -1
Therefore, the equation of the line of best fit for the given points is:
y = 13x - 1