• 제목/요약/키워드: Polynomial Regression curve

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Excel의 추세선을 이용한 표준곡선 검증 (Standard Curve Validation using Trendlines in Excel)

  • 이경화;박형기;신영만
    • 핵의학기술
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    • 제20권2호
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    • pp.69-74
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    • 2016
  • Insulin 83건을 검사 대상으로, 장비 WIZARD(PerkinElmer, USA)와 DREAM- G-10(Shinjin, KOREA)의 Graph Algorithm 중에 표준곡선과 신뢰성이 가장 높은 Excel의 추세선은 다항식 추세선이다. 다음으로 다항식 추세선식을 이용하여 표준농도 1개씩을 제외하여 표준농도의 회귀식에 미치는 영향을 비교한 결과 최고농도($315{\mu}IU/m{\ell}$)의 평균값이 표준물질 6개로 실시한 표준 회귀식을 이용한 평균값과 비교하여 49%나 평균값이 저하되었다. 단 낮은 농도에서는 영향이 미비하였다. 마지막으로 WIZARD의 Point to Point형식과 DREAM G-10의 Point to Point형식이 적합성이 높고, DREAM G-10(Point to Point)와 Excel 다항식 추세선이 적합성이 높으며, Excel 다항식 추세선과 DREAM G-10(2'nd order Polynomial)의 적합성이 높다.

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임신기간 및 자궁저높이를 이용한 신생아 체중 예측 (Prediction of Newborn Birthweight by the Measurement of Fundal Height and Gestational Period)

  • 조문숙;박영숙
    • 모자간호학회지
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    • 제1권
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    • pp.34-44
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    • 1991
  • The purposes of this study were to predict newborn birthweight by use of gestational period and fundal height and to identify growth curve of fundal height according to gestational period and growth curve of newborn birthweight according to fundal height. The subjects for the study were 802 women who delivered the normal newborn babies at Seoul National University Hospital from Sep. 1, 1981 to Aug.31, 1986. The data were collected bit chart review and analyzed nth SPSS program. The results of study were as follows : 1. The multiple regression equation ($R^2$=0.416) used for the prediction of newborn birthweight was y=(newborn birthweight, kg)=-4.421+0.075$x_1$(fundal height, cm)+0.053$x_2$(gestational period, weeks)+0.016$x_3$(abdominal girth, cm)+0.010$x_4$(maternal height, cm) 2. The growth curve of fundal height according to gestational period was obtained by polynomial regression. The regression equation was Y(fundal height, cm)=-36.78+18.58$log_ex$(gestational period, weeks) The growth curve of newborn birth weight according to fundal height was obtained by polynomial regression. The regression equation was Y(newborn birthweight, kg)=-8.09+3.27$log_ex$ (Fundal Height, cm) 3. In the following subgroups no significant difference was found in fundal height : engaged vs. nonengaged presentation, and nulliparous vs. multiparous women.

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Growth curve modeling of nucleus F0 on Korean accentual phrase

  • Yoon, Tae-Jin
    • 말소리와 음성과학
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    • 제9권3호
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    • pp.17-23
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    • 2017
  • The present study investigates the effect of Accentual Phrase on F0 using a subset of large-scale corpus of Seoul Korean. Four syllable words which were neither preceded nor followed by silent pauses were presumed to be canonical exemplars of Accentual Phrases in Korean. These four syllable words were extracted from female speakers' speech samples. Growth curve analyses, combination of regression and polynomial curve fitting, were applied to the four syllable words. Four syllable words were divided into four groups depending on the categorical status of the initial segment: voiceless obstruents, voiced obstruents, sonorants, and vowels. Results of growth curve analyses indicate that initial segment types have an effect on the F0 (in semitone) in the nucleus of the initial syllable, and the cubic polynomial term revealed that some of the medial low tones in the 4 syllable words may be guided by the principle of contrast maximization, while others may be governed by the principle of ease of articulation.

다항식회귀곡선을 통한 임펠러의 역공학 적용에 관한 연구 (A Study on the Application of Reverse Engineering for Impeller using Polynomial Regression)

  • 황종대;정종윤;정윤교
    • 한국공작기계학회논문집
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    • 제13권5호
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    • pp.103-109
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    • 2004
  • This paper presents a fairing method for reverse engineering of a free-formed surface. Utilizing measured data points, reverse engineering is a useful method to construct a CAD model from physical model. Measured data points should be faired since raw data may have outliers. A fairing algorithm of polynomial regression model generates smooth curves of approximation in this paper. The faired curves are utilized to construct a free-formed surface. For a verifying example, an impeller blade is digitized with a CMM to collect raw data on the surfacce and a CAD model is constructed. This research produces impeller blades with 5-axis machining center through the CAD model and compares them with a physical model. As a result the produced surface modeled with the fairing method gives less error than that without the fairing.

Three-dimensional Shape Recovery from Image Focus Using Polynomial Regression Analysis in Optical Microscopy

  • Lee, Sung-An;Lee, Byung-Geun
    • Current Optics and Photonics
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    • 제4권5호
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    • pp.411-420
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    • 2020
  • Non-contact three-dimensional (3D) measuring technology is used to identify defects in miniature products, such as optics, polymers, and semiconductors. Hence, this technology has garnered significant attention in computer vision research. In this paper, we focus on shape from focus (SFF), which is an optical passive method for 3D shape recovery. In existing SFF techniques using interpolation, all datasets of the focus volume are approximated using one model. However, these methods cannot demonstrate how a predefined model fits all image points of an object. Moreover, it is not reasonable to explain various shapes of datasets using one model. Furthermore, if noise is present in the dataset, an error will be generated. Therefore, we propose an algorithm based on polynomial regression analysis to address these disadvantages. Our experimental results indicate that the proposed method is more accurate than existing methods.

강제환기식 돈사의 환기량 추정을 위한 회귀모델의 비교 (Comparison of Regression Models for Estimating Ventilation Rate of Mechanically Ventilated Swine Farm)

  • 조광곤;하태환;윤상후;장유나;정민웅
    • 한국농공학회논문집
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    • 제62권1호
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    • pp.61-70
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    • 2020
  • To estimate the ventilation volume of mechanically ventilated swine farms, various regression models were applied, and errors were compared to select the regression model that can best simulate actual data. Linear regression, linear spline, polynomial regression (degrees 2 and 3), logistic curve, generalized additive model (GAM), and gompertz curve were compared. Overfitting models were excluded even when the error rate was small. The evaluation criteria were root mean square error (RMSE) and mean absolute percentage error (MAPE). The evaluation results indicated that degree 3 exhibited the lowest error rate; however, an overestimation contradiction was observed in a certain section. The logistic curve was the most stable and superior to all the models. In the estimation of ventilation volume by all of the models, the estimated ventilation volume of the logistic curve was the smallest except for the model with a large error rate and the overestimated model.

다항식 회귀분석을 이용한 전자저울의 비선형 특성 개선 연구 (A Study of the Nonlinear Characteristics Improvement for a Electronic Scale using Multiple Regression Analysis)

  • 채규수
    • 융합정보논문지
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    • 제9권6호
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    • pp.1-6
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    • 2019
  • 본 연구에서는 다항식 회귀분석(Polynomial regression analysis) 방법을 이용하여 비선형 특성을 갖는 전자저울의 질량 추정 모델 개발이 이루어 졌다. 전자저울에 사용되는 로드셀의 출력 단자 전압을 기준 질량 추를 사용하여 직접 측정하였고 이 데이터를 이용하여 MS Office 엑셀의 행렬식 계산과 데이터 추세선 분석 기능을 이용하여 다항식 회귀모델을 구하였다. 5kg까지 측정 가능한 로드셀 전자저울을 사용하여 100g단위로 질량을 측정하였고 다항식 회귀분석(Multiple regression analysis) 모델을 구하였으며, 단순(1차), 2차, 3차 다항식 회귀분석에 대한 오차를 구하였다. 각 모델에 대한 회귀 방정식의 적합도 분석을 위해 결정계수(Coefficient of determination)를 제시하여 추정 질량과 측정 데이터와의 상관관계를 나타내었다. 본 연구에서 제안하는 3차 다항식 모델을 이용하여 추정 값의 표준편차가 10g, 결정계수 1.0으로 상당히 정확한 모델을 얻었다. 본 연구에 사용된 선형 회귀 분석 이론을 바탕으로 최근 인공지능 분야에서 많이 사용되고 있는 로지스틱 회귀 분석(Logistic regression analysis)을 활용하여 기상예측, 신약개발, 경제지표 분석 등의 분야에 대한 다양한 연구를 수행할 수 있을 것으로 생각된다.

시뮬레이션을 이용한 고효율 차체용 780MPa급 강판의 저항 점 용접 강도 예측 모델 개발 (Strength Estimation Model of Resistance Spot Welding in 780MPa Steel Sheet Using Simulation for High Efficiency Car Bodies)

  • 손창석;박영환
    • 동력기계공학회지
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    • 제19권2호
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    • pp.70-77
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    • 2015
  • Nowadays, car manufacturers applied many high strength steels such AHSS or UHSS to car bodies for weight lightening. Therefore, a variety of applied steel sheet to car bodies increased and the needs of simulation to evaluate weldability also increased in order to reduce the cost and time. In this study, resistance spot welding simulations for DP 780 Steel with 1.0 and 1.4 mm thickness were conducted with respect to lobe curve. 2 regression models to estimate tensile shear strength were suggested and they were second order polynomial regression model and optimized second order regression model. The performance of these models was evaluated in terms of the coefficient of determinant and average error rate.

담배의 생장반응에 관한 수리해석적 연구 제2보 담배생장곡선의 신모형에 관하여 (Mathematical Analysis of Growth of Tobacco (Nicotiana tabaccum L.) II. A New Model for Growth Curve)

  • 김용암;반유선
    • 한국작물학회지
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    • 제27권1호
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    • pp.84-86
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    • 1982
  • 담배의 품종과 재배형별 주당 건물중의 경시적 변화를 보다 더 정밀하게 표현할 수 있는 생장곡선방정식을 수식화하기 위하여 3가지의 생장모형을 만들어서 그 타당성을 분석한 결과는 다음과 같다. 1. 담배의 건물중에 가장 적합한 생장곡선은 C형이며 이 생장곡선은Y = A + (1-$\sqrt{4AK+1}$)/2이다. 2. 이 곡선은 이식후 35-55일의 편차가 Logistic curve보다 더 작으며 정밀하다.

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변수평활량을 이용한 커널회귀함수 추정 (On variable bandwidth Kernel Regression Estimation)

  • 석정하;정성석;김대학
    • Journal of the Korean Data and Information Science Society
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    • 제9권2호
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    • pp.179-188
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    • 1998
  • 커널형 회귀함수의 추정법 중에서 국소 다항회귀 추정법이 가장 우수한 것으로 알려져 있다. 국소다항회귀 추정법에서도 다른 종류의 커널추정량과 마찬가지로 평활량이 중요한 역할을 한다. 특히 회귀함수가 복잡한 구조를 가질 때 변수평활량(variable band-width)을 사용하는 것이 타당할 것이다. 본 연구에서는 완전자료기저(fully automatic, fully data-driven) 변수평활량 선택법을 제안한다. 이 선택법은 편향과 분산의 예비추정에 필요한 평활량을 교차타당성 방법으로 선택하여 MSE를 추정하고 그 값을 최소화하는 평활량을 택하는 것이다. 제안된 방법의 우수성을 모의실험을 통하여 확인하였다. 그리고 제안된 방법은 자료점이 성긴(sparse)부분에서 생길 수 있는 문제점 즉 X'X의 비정칙성(non-singularity)을 해결할 수 있는 방법이라는 데에도 큰 의미가 있다.

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