Context: University coding assignment
So far from this information, I've managed to develop two models:
For the surface zone, I have $T(l)=\frac{-11}{45}l+24$ and for the deep zone, I have $T(l)=2$ where $T$ is the summer temperature in degrees Celsius and $l$ is the latitude in degrees (where $0$ is the equator and $90$ are the poles).
I'm having trouble interpreting this information to develop a linear model for the summer temperature of the seawater ($T$) at the thermocline zone. I know this model will differ from the last two as it will be a function of depth (rather than latitude), but the lack of data is really throwing me.
Any guidance would be greatly appreciated.
The temperature in the thermocline zone, $T$, is a function of the surface temperature, $T_s$, the temperature of the depth zone, i.e. $2$, and the depth at which the temperature is calculated, $d,200\le d\le1000$. Since $T$ here varies linearly with $d$, we have$$\frac{T-2}{d-1000}=\frac{T_s-2}{200-1000}$$We get$$T(d,l)=2+\dfrac{(1000-d)(22-\frac{11}{45}l)}{800}$$