Question

Can u help out? I have a test for this but its hard to understand, its statics.

Answer 1

Determine the equation of a least square line:

`\bar{y}=a+b\bar{x}`

where b = slope,

`S_x=5.36,S_y=15.35,\bar{x}=1.75,\bar{y}=9.07`

`\begin{gathered} b=(SS_(xy))/(SS_x) \\ SS_(xy)=\sqrt[]{(5.36)(15.35)}= \\ S_x=5.36 \\ b=(9.06995)/(5.36)=1.69 \end{gathered}`
`\begin{gathered} a=y-bx \\ a=9.07-1.69(1.75) \\ a=9.07-2.9237 \\ a=6.1463 \end{gathered}`

Therefore the equation of the least square line:

`\begin{gathered} \bar{y}=a+b\bar{x} \\ \bar{y}=6.15+1.69x \end{gathered}`