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.
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter5: A Survey Of Other Common Functions
Section5.3: Modeling Data With Power Functions
Problem 6E: Urban Travel Times Population of cities and driving times are related, as shown in the accompanying...
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- 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.
Transcribed Image Text: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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