Question

The amount of money 'y' made at a laundromat after 'x' months can be represented by the linear function: y = 8.50x - 5. After 2 months, the laundromat made 20 dollars, but the linear function predicted they would make 12 dollars. What is the residual value for this data?

Answer 1

Answer:

$\hat y = 8.5*2 -5 = 12$

And the residual is defined as:

$e_ i = y_i -\hat y_i$

And replacing we got:

$e_i = 20-12 = 8$

Step-by-step explanation:

For this case we know that the amount of money 'y' made at a laundromat after 'x' months can be represented by the linear function:

$y = 8.50 x -5$

And fter two months we know that the laundromat made 20 dollars. And if we use the linear function we got:

$\hat y = 8.5*2 -5 = 12$

And the residual is defined as:

$e_ i = y_i -\hat y_i$

And replacing we got:

$e_i = 20-12 = 8$