**Regression Analysis Output****Model Equation:** $ Y = aX^bZ^cT^d $The following table presents the computer output from estimating the parameters of the nonlinear regression model:| **Observations:** | 32 ||-------------------|----|| **Dependent Variable:** | LNY || **R-Square:** | 0.7766 || **F-Ratio:** | 32.44 || **P-Value on F:** | 0.0001 || **Variable** | **Parameter Estimate** | **Standard Error** | **T-Ratio** | **P-Value** ||--------------|------------------------|--------------------|-------------|-------------|| Intercept | -0.6931 | 0.32 | -2.17 | 0.0390 || LNR | 4.66 | 1.36 | 3.43 | 0.0019 || LNS | -0.44 | 0.24 | -1.83 | 0.0774 || LNT | 8.28 | 4.60 | 1.80 | 0.0826 |**Based on the information in the table, the estimated value of $ a $ is:****Multiple Choice:**- -0.6931 (selected)- 0.50- -3.67- 2.66**Analysis:**The table shows key statistics for a nonlinear regression model including parameter estimates for the intercept and variables LNR, LNS, and LNT. The R-square value indicates that approximately 77.66% of the variability in the dependent variable $ LNY $ is explained by the model. Each parameter estimate is listed along with its standard error, T-ratio, and P-value to evaluate statistical significance, with a focus on whether each coefficient significantly differs from zero.

Given non linear equation is, Y=aRbScTd But the output is given for the following linear equation,…

Answered: Refer to the following computer output…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Refer to the following computer output from estimating the parameters of the nonlinear model Y=aRD SCT The computer output from the regression analysis is: DEPENDENT VARIABLE: OBSERVATIONS: LNY R-SQUARE 32 0.7766 F-RATIO 32.44 P-VALUE ON F 0.0001