Question

1. the table represents the number of miles, y, michelle biked home after each hour, x.

hours (x) 1 2 3 4 5 6 7 8
miles (y) 35 29 26 20 16 9 6 0
which equation below would represent the line - of - best fit?
a. y = 4.94x - 39.86
b. y = 39.86x - 4.94
c. y = 39.86 - 4.94x
d. y = 4.94x + 39.86

Explanation:

Step1: Calculate Σx, Σy, Σxy, Σx²

x:1-8, y:35,29,26,20,16,9,6,0. Σx=36, Σy=141, Σxy=427, Σx²=204.

Step2: Compute slope (m)

m=(nΣxy-ΣxΣy)/(nΣx²-(Σx)²)=(8427-36141)/(8*204-36²)=-1660/336≈-4.94

Step3: Compute intercept (b)

b=(Σy-mΣx)/n=(141-(-4.94)*36)/8≈39.86

Step4: Form line equation

y=39.86-4.94x

Answer:

C. y = 39.86 - 4.94x