Six students are trying to identify an unknown chemical compound by heating the substance and measuring the density of the gas that evaporates. (Density = mass/volume.) The students record the mass lost by the solid substance and the volume of the gas that evaporated from it. They know that the mass lost by the solid must be the same as the mass of the gas that evaporated. A B Student C D E F 48 60 24 Volume of gas (cm³) 81 76 54 Loss in mass (mg) 64 81 32 107 88 72 a. Plot the data and draw a line of best fit through the data points. Does it look like someone made an error? Ignoring the incorrect data point, draw a line of best fit through the other points. 110+ 100+ 90+ 80+ 70+ 60- 50+ 40+ 30+ 20+ 10+ 10 20 30 40 50 60 70 80 90 100 11 Clear All Draw: Invo b. Find an equation of the form y = kr for the data. Why should you expect the regression line to pass through the origin? Oy = 1.33x Oy = 1.83x Oy = 0.831 y = 1.16z
Six students are trying to identify an unknown chemical compound by heating the substance and measuring the density of the gas that evaporates. (Density = mass/volume.) The students record the mass lost by the solid substance and the volume of the gas that evaporated from it. They know that the mass lost by the solid must be the same as the mass of the gas that evaporated. A B Student C D E F 48 60 24 Volume of gas (cm³) 81 76 54 Loss in mass (mg) 64 81 32 107 88 72 a. Plot the data and draw a line of best fit through the data points. Does it look like someone made an error? Ignoring the incorrect data point, draw a line of best fit through the other points. 110+ 100+ 90+ 80+ 70+ 60- 50+ 40+ 30+ 20+ 10+ 10 20 30 40 50 60 70 80 90 100 11 Clear All Draw: Invo b. Find an equation of the form y = kr for the data. Why should you expect the regression line to pass through the origin? Oy = 1.33x Oy = 1.83x Oy = 0.831 y = 1.16z
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Six students are trying to identify an unknown chemical compound by heating the substance and measuring the
density of the gas that evaporates. (Density = mass/volume.) The students record the mass lost by the solid
substance and the volume of the gas that evaporated from it. They know that the mass lost by the solid must be
the same as the mass of the gas that evaporated.
A
Student
B
C
D
E
F
48
Volume of gas (cm³)
60
24
81
76
54
Loss in mass (mg)
64
81
32
107
88
72
a. Plot the data and draw a line of best fit through the data points. Does it look like someone made an error?
Ignoring the incorrect data point, draw a line of best fit through the other points.
110+
100+
90+
80+
70+
60-
50+
40+
30+
20+
10+
10 20 30 40 50 60 70 80 90 100 11
Clear All Draw: Invo
b. Find an equation of the form y = kr for the data. Why should you expect the regression line to pass through
the origin?
Oy = 1.33x
Oy = 1.83x
Oy = 0.83x
y
1.16T
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