I'm doing a lab report from electronic spectrum of iodine. I did Birge-Sponer plot from my data. Excel gave it to me a slope y = -2,0698x+133,34. From regression analysis I get uncertainties for slope and intercept.(adsbygoogle = window.adsbygoogle || []).push({});

Slope: ##-2,069761731 \pm 0,075075941##

Intercept: ##133,3385857 \pm 2,396753622##

But the real equation of the slope is $$\Delta E_{v'} = \tilde{\nu}_e'-2\tilde{\nu}_e'x_e'(v'+1)$$, where

$$\tilde{\nu}_e' = 133,3385857 \pm 2,396753622 $$

$$-2\tilde{\nu}_e'x_e' = -2,069761731 \pm 0,075075941 $$

$$(v'+1)=x $$.

Now the question: How I can calculate uncertainty of $$\tilde{\nu}_e'x_e'$$ and $$x_e'$$?

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# I Propagation of uncertainty in the slope

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