The raw material used in the production of a synthetic fiber was stored in a place that had no humidity control. Measurements of the relative humidity in the storage place and the water content of a sample of the raw material (both in percentages) in 12 days gave the following results: x = Humidity y = water content a) Create a scatter plot to verify that it is reasonable to assume that the regression of Y on x is linear. b) Fit a straight line using the method of least squares. c) Find a 95% confidence interval for the mean water content of the raw material, when the humidity of the storage place is 40%. d) Find the 95% prediction limits for the water content of the raw material, when the humidity of the storage place is 40%

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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The raw material used in the production of a synthetic fiber was stored in a place that had no humidity control. Measurements of the relative humidity in the storage place and the water content of a sample of the raw material (both in percentages) in 12 days gave the following results:
x = Humidity
y = water content

a) Create a scatter plot to verify that it is reasonable to assume that the regression of Y on x is linear.
b) Fit a straight line using the method of least squares.
c) Find a 95% confidence interval for the mean water content of the raw material, when the humidity of the storage place is 40%.
d) Find the 95% prediction limits for the water content of the raw material, when the humidity of the storage place is 40%.

Humedad
Contenido de agua
42
12
35
8
50
14
43
9.
48
11
62
16
31
36
44
12
39
10
55
13
48
11
Transcribed Image Text:Humedad Contenido de agua 42 12 35 8 50 14 43 9. 48 11 62 16 31 36 44 12 39 10 55 13 48 11
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