size of infants at birth WEIGHT CHEST SIZE (kg) (in m) 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

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter29: Tolerance, Clearance, And Interference
Section: Chapter Questions
Problem 16A: Spacers are manufactured to the mean dimension and tolerance shown in Figure 29-12. An inspector...
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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.
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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