Linear regression can also be employed to determine physical constants. This is often done in Physical Chemistry and Biochemistry labs. The key is to express the phenomena being studied as a linear model. For example, Planks Constant $($h$)$ and the work function of a metal can be determined from observing the energy of an ejected electron as a function of the energy of incident light by the photoelectric effect: E $=$ hv $-$ work. Where E is the electron energy in Joules

and work is the photon energy in frequency $($s$-1).$ From the data below, determine Plank$$s Constant and the work function of the material. Assume the $95\%$ confidence interval is $+/-2$ standard

deviations and give the C$.$I. for each value.

Incident light $($nm$)$: $435\mathrm{.}834,404\mathrm{.}656,365\mathrm{.}015,334\mathrm{.}148,313\mathrm{.}170,296\mathrm{.}728,289\mathrm{.}360$

Ejected Electron $($eV$)$: $0\mathrm{.}527,0\mathrm{.}751,1\mathrm{.}081,1\mathrm{.}392,1\mathrm{.}636,1\mathrm{.}849,1\mathrm{.}966$

Hint $1$: c $=$ wavelength x v$.$ So v equals the speed of light in nm$/$sec divided by wavelength in nm$.$

Hint $2$: Convert eV to Joules.