Question

Miguel wrote the predicted and residual values for a data set using the line of best fit y = 1.82x – 4.3. He left out two of the values.

Answer 1

Answer: a=1.16 and b=0.12

Step-by-step explanation:

We know that the residual value= given - predicted

For x=3

The given value =1.1

The residual value=-0.06

Thus

The predicted value (a)= given- residual

$\Rightarrow\ a=1.1-(-0.06)\\\Rightarrow\ a=1.1+0.06\\\Rightarrow\ a=1.16$

For x=4

The given value =3.1

The predicted value = 2.98

Thus

The residual value (b) = given - predicted

$\Rightarrow\ b=3.1-2.98\\\Rightarrow\ b=0.12$