the climactic moment in the film "

the climactic moment in the film " The Eggplant That Are new Jersey " comes when the brilliant young scientist announced his discovery of the equation for the volume of the eggplant
where t is the time in hours from the moment the vampire injected the eggplant with a solution prepared from the blood of the beautiful dental hygienist

What are the units of

The scientist obtain the formula by measuring V versus T and determining the coefficients by linear regression.
What would he have plotted versus what on what kind of coordinates
What would he have obtained as the slope and intercept of his plot

the European distributor of the film insists that the formula be given for the volume in m as a function of T