1. The following data were obtained in a study of the relationship between the weight and chest size of infants at birth CHEST SIZE (in m) WEIGHT (kg) 2.75 0.295 2.15 0.263 4.41 0.322 5.52 0.365 3.21 0.272 4.32 0.277 2.31 0.283 4.30 0.303 3.65 0.287 4.21 0.312 2.32 0.257 2.11 0.243 3.56 0.259 4.17 0.310 2.17 0.240 a. Draw the Scatter Diagram of the given pair of data. b. Find the equation of the regression that model the relationship between the weight of mail and number of order using LINEAR EQUATION, EXPONENTIAL EQUATION, SIMPLE POWER EQUATION, and HYPERBOLIC EQUATION. c Compute for the correlation coefficient of each equation using PEARSON PRODUCT MOMENT CORRELATION COEFFICIENT (PPMCC). d. Which among the equation is the best-fit mathematical model? Explain why. e. Using the best fit mathematical model, estimate the chest size in cm if the weight of the infant is 4.01 kg.

1. The following data were obtained in a study of the relationship between the weight and chest size of infants at birth CHEST SIZE (in m) WEIGHT (kg) 2.75 0.295 2.15 0.263 4.41 0.322 5.52 0.365 3.21 0.272 4.32 0.277 2.31 0.283 4.30 0.303 3.65 0.287 4.21 0.312 2.32 0.257 2.11 0.243 3.56 0.259 4.17 0.310 2.17 0.240 a. Draw the Scatter Diagram of the given pair of data. b. Find the equation of the regression that model the relationship between the weight of mail and number of order using LINEAR EQUATION, EXPONENTIAL EQUATION, SIMPLE POWER EQUATION, and HYPERBOLIC EQUATION. c Compute for the correlation coefficient of each equation using PEARSON PRODUCT MOMENT CORRELATION COEFFICIENT (PPMCC). d. Which among the equation is the best-fit mathematical model? Explain why. e. Using the best fit mathematical model, estimate the chest size in cm if the weight of the infant is 4.01 kg.

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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Question

Which among the equation is the best-fit mathematical model? Explain why.
Using the best fit mathematical model, estimate the chest size in cm if the weight of the infant is 4.01 kg.

1. The following data were obtained in a study of the relationship between the weight and chest
size of infants at birth
WEIGHT
CHEST SIZE
(in m)
(kg)
2.75
0.295
2.15
0.263
4.41
0.322
5.52
0.365
3.21
0.272
4.32
0.277
2.31
0.283
4.30
0.303
3.65
0.287
4.21
0.312
2.32
0.257
2.11
0.243
3.56
0.259
4.17
0.310
2.17
0.240
Draw the Scatter Diagram of the given pair of data.
b. Find the equation of the regression that model the relationship between the weight of mail and
number of order using LINEAR EQUATION, EXPONENTIAL EQUATION, SIMPLE POWER
EQUATION, and HYPERBOLIC EQUATION.
c. Compute for the correlation coefficient of each equation using PEARSON PRODUCT MOMENT
CORRELATION COEFFICIENT (PPMCC).
d. Which among the equation is the best-fit mathematical model? Explain why.
e. Using the best fit mathematical model, estimate the chest size in cm if the weight of the infant is
4.01 kg.

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