Question

A group of people tried joining a gym to see if it would help them to lose weight. This table shows the relationship between the number of weeks since each person joined the gym and the number of pounds they have lost.

Which function best models the data?


y=0.75x−3.5

y=−1.5x+5.5

y=−0.43x+2.5

y = 0.31x + 0.12

Answer 1

Correct answer for k12 kids

Answer 2

Using technology such as excel, the linear regression equation which best models the data is y = 0.31x + 0.12

To model the data, we could use a linear regression calculator or excel which gives the slope intercept equation of the model in the form :

• y = bx + c

Where ;

• Slope, b = 0.31 ; intercept, c = 0.12

Therefore, the linear regression function which nest models the data in the table is y = 0.31x + 0.12