Hello there.
Linear regression is a useful tool that allows calculating approximate values for a function that passes through given points(with the best error possible). It is very useful in science to make an estimation of the comportment of movement, electricity and some decays.
For example, I will relate a case in a physics lab: We calculated the positions of a car in an air rail and the times. With this information, I was able to make a linear regression to calculate the Position function for that case.
Answer: the number must be placed in the box is 9
suppose: the number must be placed in the box is x
have:
5u + 3(4u - 6) = -3u -27 + 20u + x
⇔ 5u + 12u - 18 = -3u - 27 + 20u +x
⇔ 17u + 3u - 20u = -27 + 18 + x
⇔ 0 = x - 9
⇔ x = 9
Step-by-step explanation:
Replace the x with 2: f(2)=2*2+7=4+7=11
replace the x with 7: f(7)=2*7+7=14+7=21