Holiday Cruise Lines is evaluating the cost of operating its newest ship, the Caribbean Summer.

In its first year of operation, the Caribbean Summer completed $25$ ?short cruises along the same route, but with varying number of passengers on board.

The chief operating officer of Holiday Cruise Lines collected the total cost of operating each short cruise, as well as the number of passengers on board, and summarized the data:

n $=25$ ?

Sum of X $-$ values $=82\mathrm{.}03$ ?Sum of Y $-$ values $=31\mathrm{.}17$

Mean of X $-$ value $=3\mathrm{.}28$ ?Mean of Y $-$ value $=1\mathrm{.}25$

Sum of X $-$ values squared $=280\mathrm{.}07$ ?Sum of Y $-$ values squared $=39\mathrm{.}38$

?Sum of XY products $=\backslash$ Sigma XY $=104\mathrm{.}38$ ?

Assumptions:

Y $=$ ? Total ship operating cost $($ US millions $)$ ?for a short cruise.

X $=$ ?Number of passengers $($ millions $)$

Calculate the following to answer this question.

Average total cost of operating Caribbean Summer on one of its $25$ ?short cruises

Determine the linear regression that best explains the relationship of the total cost of a short cruise to the number of passengers on that cruise.

Predict the total operating cost for Caribbean Summer when it has $2,500$ ?passengers

What percent of the variation in the total cost of operating the ship on these $25$ ?short cruises is explained by your regression equation?

Based on your calculations, which of the following statements is true? Check all that applies

Question $1$ ?options:

A $)$ ?

A $.$ ?Y $=0\mathrm{.}613-0\mathrm{.}194$ X

B $)$ ?

B $.$ ?Average total cost of operating Caribbean summer for $25$ ?short cruisers $=$ ?$ $1\mathrm{.}25$ ?Million

C $)$ ?

G $.$ ?Average total cost of operating Caribbean summer for $25$ ?short cruises $=$ ?$ $1\mathrm{.}79$ ?Million

D $)$ ?

H $.$ ?For $2500$ ?passengers, the average operating ship costs would be $ $485\mathrm{.}6$ ?Million

E $)$ ?

E $.$ ?Y $=0\mathrm{.}613+0\mathrm{.}194$ X

F $)$ ?

F $.$ ?Regression dmodel explains $79\mathrm{.}33\%$ ?variability in the total cost of operating the ship

G $)$ ?

C $.$ ?Regression model explains $49\mathrm{.}23\%$ ?variability in the total cost of operating the ship

H $)$ ?

D $.$ ?For $2500$ ?passengers, the average operating ship costs would be $ $85\mathrm{.}6$ ?Million