$1\mathrm{.}6$ Least squares method

Consider the data in the table below:

a$)$ Use the least squares method to approximate a line $y=ax+b$ to these

data.

b$)$ Use the least squares method to approximate a line $x=cy+d$ to these

data.

c$)$ Are the two lines identical? Explain why it could or could not be the case.

d$)$ Use the least squares method to approximate a parabola $y=a{x}^2+bx+c$

to these data.