Assistance: Large uncertainties making it difficult to plot slopes

[Physicist_2]

Homework Statement:

This isn't a textbook problem, but rather I am currently writing my practical report and have encountered several problems due to a high equipment uncertainty which has led me to a standstill. Attached is a diagram of my graph with the appropriate uncertainties, however, I am finding it difficult to draw the max and min slopes which encompass all the uncertainty. I would appreciate any guidance. Thank you

Relevant Equations:

Thank you

 

[kuruman]

Can you explain a bit more in detail what you are plotting and how you estimated your uncertainties? If you are plotting the cosine of an angle vs. temperature, the point at, say 335 K shows an uncertainty from -0.5 to 1.0 in the cosine which corresponds to an angle uncertainty from 0 to 120 degrees. Is that consistent with what you observed?

 

[berkeman]

And how can the max temperature of your boiling water be 360K (~ 87C)? I must be misunderstanding this...

 

[kuruman]

And how can the max temperature of your boiling water be 360K (~ 87C)? I must be misunderstanding this...

According to Wikipedia at an altitude of 12,000 ft water boils at 87.6 $^o \rm{C}$.

 

[berkeman]

According to Wikipedia at an altitude of 12,000 ft water boils at 87.6 $^o \rm{C}$.

Hmm, I used my Mentor superpowers just now to check the OP's location, and unless he went on a road trip to conduct this experiment, he was right around 2000 feet in altitude...

 

[haruspex]

Problem Statement: This isn't a textbook problem, but rather I am currently writing my practical report and have encountered several problems due to a high equipment uncertainty which has led me to a standstill. Attached is a diagram of my graph with the appropriate uncertainties, however, I am finding it difficult to draw the max and min slopes which encompass all the uncertainty. I would appreciate any guidance. Thank you
Relevant Equations: Thank you

View attachment 246749

Further to @kuruman 's comments in post #2, consider whether the uncertainties are independent. Quite possibly there is a source of uncertainty which would have a roughly constant affect across all datapoints, so would not affect the slope much.