You are building a robotic instrument that automatically dispenses some volume that you specify of stock solution into a reaction vessel. This instrument works by opening and closing a valve for a specific amount of time, and you would like to calibrate it by determining how much time the valve needs to be open to dispense a give volume. You calibrate this instrument by choosing a series of times and measuring the mass of water dispensed into a weigh boat on an analytical balance. Your results are below: Time (ms) Mass (g) 13.07 10 20 30 40 25.98 38.99 52.15 50 65.14 60 78.14 a. Plot this data in excel. Does it look linear? b. Use LINEST to fit this data to a line. Report the slope and y intercept with 1o uncertainty and correct units.

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I got values like the second picture by using LINEST. How to answer for b?

You are building a robotic instrument that automatically dispenses some volume
that you specify of stock solution into a reaction vessel. This instrument works by
opening and closing a valve for a specific amount of time, and you would like to
calibrate it by determining how much time the valve needs to be open to
dispense a give volume. You calibrate this instrument by choosing a series of
times and measuring the mass of water dispensed into a weigh boat on an
analytical balance. Your results are below:
Time (ms)
Mass (g)
10
13.07
20
25.98
30
38.99
40
52.15
50
60
65.14
78.14
a. Plot this data in excel. Does it look linear?
b. Use LINEST to fit this data to a line. Report the slope and y intercept with
1o uncertainty and correct units.
Transcribed Image Text:You are building a robotic instrument that automatically dispenses some volume that you specify of stock solution into a reaction vessel. This instrument works by opening and closing a valve for a specific amount of time, and you would like to calibrate it by determining how much time the valve needs to be open to dispense a give volume. You calibrate this instrument by choosing a series of times and measuring the mass of water dispensed into a weigh boat on an analytical balance. Your results are below: Time (ms) Mass (g) 10 13.07 20 25.98 30 38.99 40 52.15 50 60 65.14 78.14 a. Plot this data in excel. Does it look linear? b. Use LINEST to fit this data to a line. Report the slope and y intercept with 1o uncertainty and correct units.
1.302828571 -0.0206667 Slope
intercept
0.001525118 0.05939483 se(slope)
se(intercept)
0.999994519 0.06380028 r^2
se(y)
se =
standard errrors
729738.6995
4 F
df
2970.384001
0.0162819 ss reg
ss resid
Transcribed Image Text:1.302828571 -0.0206667 Slope intercept 0.001525118 0.05939483 se(slope) se(intercept) 0.999994519 0.06380028 r^2 se(y) se = standard errrors 729738.6995 4 F df 2970.384001 0.0162819 ss reg ss resid
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