$(3)$ Create the identical plot in Figure $3$ below for the DataFrame computed in $(2).$

tig. $5.$ Kesponse or simpiy support deam.

$2.$

$(4)$ Consider a related mechanical process with the following set data for $$ and $$ for which $=[2,8,3,4,6]$ and $=[12,5,8,9,3].$ Conduct a least$-$squared regression analysis with $=a+b.$ What are the values of a and $b?$

$(5)$ Using the results from $(4)$ create the identical plot in Figure $4$ below.

Fig. $4.$ Relationship between $$ and $.$