A temperature sensor is being calibrated. The output is sent to the display shown. It is known that the sensor has a noise floor of $\backslash (75\backslash$mu $\backslash$mathrm$\{$~V$\}\backslash ).$ The data for two cycles of calibration is shown in the table. Using Excel a line of best fit $($forced to pass through zero$)$ has the equation: Output $($mV$)\backslash (=0\mathrm{.}4014\backslash )$ input $(\backslash (\{\}^\{\backslash$circ$\}\backslash$mathrm$\{$C$\}\backslash )).$

Determine the following characteristics of the sensor $($be mindful of significant figures in reporting the values$),$ report the errors in $\backslash (\backslash$pm $\backslash$mathrm$\{$mV$\},\backslash$pm$\{\}^\{\backslash$circ$\}\backslash$mathrm$\{$C$\}\backslash )$ and $\backslash (\backslash$pm $\backslash \%\backslash$mathrm$\{$FSO$\}\backslash ).$

FSO

Sensitivity

Resolution

Zero offset error

Non$-$linearity error

Hysteresis error

Repeatability error

Calibration data

$\backslash$begin$\{$tabular$\}\{$l$|||$c$|$c$|\}$

$\backslash$hline $\backslash$multirow$\{2\}\{*\}\{$ True Temp. $($degree C$)\}$ & $\backslash$multicolumn$\{2\}\{$c$|\}\{$ Measured Output $($mV$)\}\backslash \backslash$

$\backslash$cline $\{2-3\}$ & Cycle $1$ & Cycle $2\backslash \backslash$

$\backslash$hline $20$ & $7\mathrm{.}83$ & $7\mathrm{.}89\backslash \backslash$

$\backslash$hline $40$ & $15\mathrm{.}85$ & $15\mathrm{.}93\backslash \backslash$

$\backslash$hline $60$ & $24\mathrm{.}17$ & $24\mathrm{.}04\backslash \backslash$

$\backslash$hline $80$ & $32\mathrm{.}30$ & $32\mathrm{.}44\backslash \backslash$

$\backslash$hline $100$ & $39\mathrm{.}72$ & $40\mathrm{.}05\backslash \backslash$

$\backslash$hline $80$ & $32\mathrm{.}37$ & $32\mathrm{.}40\backslash \backslash$

$\backslash$hline $60$ & $24\mathrm{.}13$ & $24\mathrm{.}06\backslash \backslash$

$\backslash$hline $40$ & $15\mathrm{.}89$ & $15\mathrm{.}94\backslash \backslash$

$\backslash$hline $20$ & $7\mathrm{.}87$ & $7\mathrm{.}84\backslash \backslash$

$\backslash$hline $0$ & $0\mathrm{.}05$ & $-0\mathrm{.}07\backslash \backslash$

$\backslash$hline

$\backslash$end$\{$tabular$\}$

Partial answer

$\backslash$begin$\{$tabular$\}\{|$l$|$l$|$l$|$l$|\}$

$\backslash$hline Zero error & $-0\mathrm{.}17$ & $0\mathrm{.}12$ & $\backslash (\backslash$pm $0\mathrm{.}2\backslash \%\backslash )$ FSO $\backslash \backslash$

$\backslash$hline non$-$linearity & $-0\mathrm{.}70$ & $1\mathrm{.}09$ & $\backslash (\backslash$pm $1\backslash \%\backslash$mathrm$\{$FSO$\}\backslash )\backslash \backslash$

$\backslash$hline Hysterisis & $-0\mathrm{.}09$ & $0\mathrm{.}09$ & $\backslash (\backslash$pm $0\mathrm{.}1\backslash \%\backslash )$ FSO $\backslash \backslash$

$\backslash$hline Repeatability & $-0\mathrm{.}41$ & $0\mathrm{.}41$ & $\backslash (\backslash$pm $0\mathrm{.}4\backslash \%\backslash )$ FSO $\backslash \backslash$

$\backslash$hline Resolution & $\backslash$multicolumn$\{3\}\{|$c$|\}\{\backslash (0\mathrm{.}2^\{\backslash$circ$\}\backslash$mathrm$\{$C$\}\backslash )\}\backslash \backslash$

$\backslash$hline

$\backslash$end$\{$tabular$\}$