Question

The graph below shows carters weight each week since he started his diet write an equation for the line of best fit

Answer 1

ŷ = -1.618X + 215.636

191

Explanation:

From the graph:

The data below could be obtained to produce the best fit line :

Week, x :

0

1

2

3

4

5

6

7

8

9

10

Weight :

216

214

213

210

210

207

206

202

203

202

200

Using a linear regression calculator. The best fit line obtained is :

ŷ = -1.618X + 215.636 ; which shows decrease in weight has the number of weeks grow.

Carters weight 15 Weeks into his diet :

X = 15

ŷ = -1.618(15) + 215.636

= 191.366

= 191 (nearest whole number)