Question

The table below lists the median heights (in cm) of girls from ages 2 to 10. Find an equation for the line of best fit.

Ag Me
e dian
(y Hei
ea ght
rs) (cm)
2
3
4
5
6
7
co
9
10
84.9
8
93.9
2
100.
75
107.
66
114.
71
121.
49
127.
59
132
92
137.
99
y = 9.3z + 84.9
y=7.1z+82.1
y = 6.6z+73.9
y=73.9z+6.6

I neeed HELP please!!! ASAP!!pl

Answer 1

The equation for the line of best fit is y = 8.94x + 67.1

What is the equation for the line of best fit?

At point 1:

Age: 2

Median: 84.98

At point 2:

Age: 3

Median: 93.92

Slope, m = (Change in median) / (change in age)

= (93.92 - 84.98) / (3 - 2)

= 8.94/1

m = 8.94

The equation:

y = mx + b

84.98 = 8.94(2) + b

84.98 = 17.88 + b

b = 84.98 - 17.88

b = 67.1

Therefore,

y = 8.94x + 67.1