execution, as well as provide an overall satisfaction rating. Possible responses $($scores$)$ were no opinion $(0),$ unsatisfied $(1),$ somewhat satisfied $(2),$ satisfied $(3),$ and very satisfied $(4).$ For each broker, summary scores were computed by computing a weighted average of the scores provided by each respondent. A portion of the survey results follows.

Brokerage Trade

Price Speed of

Execution Satisfaction

Electronic

Trades

A $3\mathrm{.}43\mathrm{.}43\mathrm{.}5$

B $3\mathrm{.}23\mathrm{.}33\mathrm{.}4$

C $3\mathrm{.}13\mathrm{.}43\mathrm{.}9$

D $2\mathrm{.}93\mathrm{.}63\mathrm{.}6$

E $2\mathrm{.}93\mathrm{.}22\mathrm{.}9$

F $2\mathrm{.}53\mathrm{.}22\mathrm{.}7$

G $2\mathrm{.}63\mathrm{.}82\mathrm{.}8$

H $2\mathrm{.}43\mathrm{.}83\mathrm{.}6$

I $2\mathrm{.}62\mathrm{.}62\mathrm{.}6$

J $2\mathrm{.}32\mathrm{.}72\mathrm{.}5$

K $3\mathrm{.}74\mathrm{.}04\mathrm{.}0$

L $2\mathrm{.}52\mathrm{.}52\mathrm{.}5$

M $3\mathrm{.}03\mathrm{.}04\mathrm{.}0$

N $4\mathrm{.}01\mathrm{.}02\mathrm{.}0$

$($a$)$

Develop an estimated regression equation using trade price and speed of execution to predict overall satisfaction with the broker. $($Let x$1$ represent trade price, x$2$ represent speed of execution, and y represent satisfaction rating. Round your numerical values to four decimal places.$)$

$=$