Linear Regression and Correlation
ثبت نشده
چکیده
In order to calculate confidence intervals and hypothesis tests, it is assumed that the errors are independent and normally distributed with mean zero and variance 2 σ . Given a sample of N observations on X and Y, the method of least squares estimates β0 and β1 as well as various other quantities that describe the precision of the estimates and the goodness-of-fit of the straight line to the data. Since the estimated line will seldom fit the data exactly, a term for the discrepancy between the actual and fitted data values must be added. The equation then becomes y b b x e y e j j j
منابع مشابه
QSAR Modeling of COX-2 Inhibitory Activity of Some Dihydropyridine and Hydroquinoline Derivatives Using Multiple Linear Regression (MLR) Method
COX-2 inhibitory activities of some 1,4-dihydropyridine and 5-oxo-1,4,5,6,7,8-hexahydroquinoline derivatives were modeled by quantitative structure–activity relationship (QSAR) using stepwise-multiple linear regression (SW-MLR) method. The built model was robust and predictive with correlation coefficient (R2) of 0.972 and 0.531 for training and test groups, respectively. The quality of the mod...
متن کاملQSAR Modeling of COX-2 Inhibitory Activity of Some Dihydropyridine and Hydroquinoline Derivatives Using Multiple Linear Regression (MLR) Method
COX-2 inhibitory activities of some 1,4-dihydropyridine and 5-oxo-1,4,5,6,7,8-hexahydroquinoline derivatives were modeled by quantitative structure–activity relationship (QSAR) using stepwise-multiple linear regression (SW-MLR) method. The built model was robust and predictive with correlation coefficient (R2) of 0.972 and 0.531 for training and test groups, respectively. The quality of the mod...
متن کاملDetermination of the Relationship between Impact Sensitivity and Electrostatic Sensitivity of Nitro Energetic Compounds through Multiple Linear Regression Method
In this work the relationship between impact sensitivity and electrostatic sensitivity of energetic nitro compounds is investigated. Also, the most important molecular descriptors which have effect on this correlation are studied. The results are shown that the ratio of number of the oxygen atoms to hydrogen atoms ( nO/nH), the number of amino groups(NH2)have an important roles in the proposed...
متن کاملDetermination of critical properties of Alkanes derivatives using multiple linear regression
This study presents some mathematical methods for estimating the critical properties of 40 different types of alkanes and their derivatives including critical temperature, critical pressure and critical volume. This algorithm used QSPR modeling based on graph theory, several structural indices, and geometric descriptors of chemical compounds. Multiple linear regression was used to estimate the ...
متن کاملApplication of Body Measurements of Blackhead Somali Sheep as Parameters for Estimation of Live Weight
Sheep and goat have a great role in the economy of the pastoral communities which have inhabited in the lowland parts Ethiopia. The study was conducted in Borana low land southern Ethiopia to predict the body weight of blackhead Somali (BHS) sheep using linear body measurements under farm condition. A total of 478 heads (301 female and 177 males) were measured for linear body measurements and b...
متن کاملLinear model for physical activity prediction in healthy middle aged men
Introduction: The usage of valid, reliable, rapid and low cost instruments for measurement of physical activity (PA) volume are essential in epidemiological and clinical studies. The purpose of this study was to develop a new physical activity prediction model using physiological and anthropometric variables in middle aged men. Methods: Daily physical activity was measured with pedometer throug...
متن کامل