5. Linearize the following model to fit the data points in the table below: у 3ахеbx...
Use nonlinear regression to estimate α4 and β4 based on the following data. y= α4Xe^(β4X) x 0.1 0.2 0.4 0.6 0.9 1.3 1.5 1.7 1.8 y 0.75 1.25 1.45 1.25 0.85 0.55 0.35 0.28 0.14 If you were to use linear regression to find α4 and β4, how would you make the model linear? Plot the data points, the fit to the data using linear and nonlinear regression. What method produces the better estimate
Develop the equation to fit data using cubic regression. Solve the system of equation using Naïve Gauss method. Write down the equation. х у 0.5 13.429 0.55 26.606 0.6 25.880 0.65 40.969 0.7 38.696 0.75 58.633 0.8 75.829 0.85 102.786 0.9 150.862 0.95 212.095 1 305.255
GRF: Ground Reaction Forces Jump Impulse: Takeoff Velocity: Jump-height: An athlete did a vertical jump. The measured GRF is shown in the figure below. How high can she jump? 1300 1250 1200 1150 1100 1050 1000 950 900 850 GRF [N] 0 + 0.5 0.55 0.6 0.65 0.7 0.75 0.8 0.85 0.9 0.95 1 1.05 1.1 1.15 1.2 1.25 1.3 1.35 1.4 1.45 1.5 1.55 1.6 1.65 1.7 1.75 1.8 1.85 1.9 1.95 2 2.05 2.1 2.15 2.2 time [s]
Biological oxidation of phenylacetic acid is inhibited by propionic acid present in wastewater. The following data were obtained for enzymatic oxidation of phenylacetic acid at different concentrations of propionic acid: S (mM) 0.25 0.4 0.5 0.6 0.75 1.0 V (mM/l-h), I=0 1.0 1.7 1.9 2.1 2.4 2.5 V (mM/l-h), I = 1mM 0.65 1.1 1.3 1.4 1.8 2.2 V (mM/l-h), I = 2mM 0.55 0.9 1.0 1.3 1.4 1.8 What kind of inhibition is this? The value of Vm, Km,...
Question 5. Given sample data (x, y), and sample size n. We fit the simple regression model: and estimate the least square estimators (a) Suppose A,-1, ß,-2, and x-1. Compute у. b) Suppose S and sry 0.5, compute the R2. Question 5. Given sample data (x, y), and sample size n. We fit the simple regression model: and estimate the least square estimators (a) Suppose A,-1, ß,-2, and x-1. Compute у. b) Suppose S and sry 0.5, compute the R2.
i Problem 10: Interpolation, least squares, and finite difference Consider the following data table: 0 2 0.2 2.018 0.4 2.104 0.6 [2.306 If the Sum of the Squares of the errors for the linear least-squares fit for the above problem is computed as SSE = 8.679 x 10-3 and the sum of the squares of the deviation from their mean is computed as SS, = 0.059, then the R2 value for the linear least fit and the standard error Sxy...
The scores on the verbal section of a certain graduate school entrance exam have a mean of 153 and a standard deviation of 8.7. Scores on the quantitative section of the exam have a mean of 154 and a standard deviation of 8.9. Assume the scores are normally distributed. Students intending to study engineering in graduate school have a mean score of 178 on the quantitative section and a mean score of 156 on the verbal section. a. Find the...
1(50 pts). The following table is a set of data points. х у N 15 5 12 ON 6 12 7 (a) Use table and formulas to find the regression equation. (Note: Cannot use Excel or SPSS to do it.) (b) Estimate the value of y when x - 14.
Problem 4: Using the data in the table below, answer the following: 0.16 0.22 0.30 0.30 0.32 0.33 0.35 0.37 0.37 0.38 3.30 11.70 13.60 14.30 14.40 16.00 16.70 17.80 19.10 21.00 0.50 0.53 0.60 0.60 0.61 0.63 0.73 0.76 0.84 0.85 22.20 123.70 27.50 27.90 28.50 28.60 28.70 29.20 31.10 31.50 (a) Calculate the least squares estimates of the slope and intercept (you may use Excel to aid in your calculations, but cannot have Excel fit the regression itself)....
use the linearize model to estimate k and C0 based on the following data using matlab Required information Linear regression provides a powerful technique for fitting a best line to data. The below figure shows the transformations can be used to express the data in a form that is compatible with linear regression. Apart from the given figure, there are other models that can be linearized using transformations. For example, the following model applies to third-order chemical reactions in batch...