In this paper, we show that if the response is quadratic, then the average slope can be obtained by simply using the slope from a straight line fit. In fact, if the slope of the best fitting line to a smooth non-linear function equals the average slope of the function over an ...
The simulation was judged to have converged if the slope of the linear model was less than \(1{0}^{-3}\) per day, corresponding to a change of <1 case per year. If convergence was achieved, the modeled MAI was calculated and compared against the target MAI. As a sensitivity analysis...
We reconciled the 2 contrasting approaches with the use of calculus to linearize the equation that defines BMI. Because we kept the slope a of the linearized equation in terms of BMI (i.e., by leaving the slope as a variable rather than as a constant number), we were able to develop ...
, N}. The slope of this line is denoted in the following by \(\hat{d}\). According to the TWO-NN estimator, the value of the ID for the uniform hypercube is \(\hat{d}=14.09\), a measure that is consistent with the ground truth values. For the Swiss Roll the ID estimated by...
More particularly, the phase of each pilot tone is measured for a number (n) of symbol times; for each of the pilot tones, the slope of a phase angle change from symbol time to symbol time is estimated using a best least-squares fit of the measured phases to a straight line; and a...
The study revealed three operational parameters affecting construction equipment emissions viz: speed, road slope and payload. The analysis (ibid) revealed that by increasing the equipment payload and highway gradient, the GHG discharges from equipment escalate substantially while the best possible driving...
The slope of regression line is the estimate of the Hurst exponent. This method for estimating the Hurst exponent was developed and analyzed by Benoit Mandelbrot and his co-authors in papers published between 1968 and 1979. The Hurst exponent applies to data sets that are statistically self-...
As before when a broader set of LDL-C values were tested, the eS LDL-C equation had the best linear regression-based parameters of accuracy for low LDL-C samples when compared to BQ LDL-C (Fig. 5). Notably, the eS LDL-C equation had a slope of nearly 1.0 and an intercept of ...
We first test the role of two variables capable of influencing the slope-stability model: landslide thickness and the coefficient of variation (COV) of distributions of cohesion and friction-angle pairs. For each landslide thickness, we randomly create shear-strength parameters using a Monte Carlo ...
As summarized in Table 4, the median nitrogen requirement of the 235 individual subjects in the primary estimation studies was 104.6 mg N · kg−1· d−1, with a median slope of 0.47 and a median intercept at zero intake of −48 mg N · kg−1· d−1. Approximate 95% CIs ...