Given the data set (4, 85), (7, 92), (14, 110), which of the following equations best represents a line of best fit?

y = seven over threex + 75.67

y = two over threex + 75.67

y = five over threex - 75.5

y = seven over fourx - 75.5

Answer A should be the correct answer

Let's see if there is a constant rate first ...

(92-85) / (7-4) = 7/3

(110-92) / (14-7) = 18/7 so there is no constant rate ... so the line of best fit (linear least squares regression line) will have a slope of:

m = (nΣxy-ΣxΣy) / (nΣx^2-ΣxΣx)

m = (3*2524-25*287) / (3*261-625)

m=397/158

b = (Σy-mΣx) / n

b = (158Σy-397Σx) / (3*158)

b = (45346-9925) / (3*158)

b=11807/158

So the line of best fit is:

y = (397x+11807) / 158

so approximating this line ...

y≈2.5x+74.73

So the closest that you have is:

y=7x/3+75.67