The following constants are obtained from measurements on length in mm. (X1), volume in c.c. (X2) and weight in gm. (X2) of 300 eggs : X, = 55-95 S, = 2-26 %3D 12 = 0-578 X, = 51-48 %3D S, = 4-39 %3D 13 = 0-581 %3D X3 = 56 03 S3 = 4.41 = 0-974 %3D Obtain the linear regression equation of egg weight on egg length and egg volume. Hence, estimate the weight of an egg whose length is 58 mm. and volume is 52-5 c.c.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter9: Surfaces And Solids
Section9.3: Cylinders And Cones
Problem 8E
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The following constants are obtained from measurements on length in mm.
(X1), volume in c.c. (X2) and weight in gm. (X2) of 300 eggs :
X, = 55.95
%3D
S, = 2-26
%3D
12 = 0-578
X2 = 51-48
S2 = 4:39
13 = 0-581
%3D
%3D
X = 56-03
S3 = 4-41
%3D
23 = 0-974
%3D
Obtain the linear regression equation of egg weight on egg length and egg volume. Hence,
estimate the weight of an egg whose length is 58 mm. and volume is 52-5 c.c.
Transcribed Image Text:The following constants are obtained from measurements on length in mm. (X1), volume in c.c. (X2) and weight in gm. (X2) of 300 eggs : X, = 55.95 %3D S, = 2-26 %3D 12 = 0-578 X2 = 51-48 S2 = 4:39 13 = 0-581 %3D %3D X = 56-03 S3 = 4-41 %3D 23 = 0-974 %3D Obtain the linear regression equation of egg weight on egg length and egg volume. Hence, estimate the weight of an egg whose length is 58 mm. and volume is 52-5 c.c.
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