**Transcription for Educational Website**---**Understanding Simple Linear Regression Analysis**The following information provides a computer output for fitting a simple linear model. Our goal is to determine if the slope in the population significantly differs from zero, using the p-value at a 5% significance level to conclude the model's effectiveness.**Regression Equation:**\[ Y = 89.5 - 7.2X \]**Coefficients Table:**| Predictor | Coef | SE Coef | T | P ||-----------|----------|---------|-------|------|| Constant | 89.537 | 4.543 | 19.71 | 0.000|| X | -7.2041 | 0.8406 | -8.57 | 0.000|**Instructions:**1. **Sample Slope:** Enter the value of the coefficient of X from the table above.2. **p-value:** Enter the p-value associated with the slope of X.**Question:**- **Is the model effective?** Assess the effectiveness by analyzing the p-value and the significance level.*Note: Use the drop-down menu to provide your response regarding the effectiveness of the model.*---

In multiple linear regression, there will be more than one independent variable. In simple linear…

Answered: Computer output for fitting a simple…

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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Computer output for fitting a simple linear model is given below. State the value of the sample slope for this model and give the null and alternative hypotheses for testing if the slope in the population is different from zero. Identify the p-value and use it (and a 5% significance level) to make a clear conclusion about the effectiveness of the model.The regression equation is Y⁢=81.1-0.0116X. Predictor Coef SE Coef T P Constant 81.14 11.64 6.97 0.000 X -0.01158 0.00965 -1.20 0.245 Sample slope: Enter your answer; sample slopep-value: Enter your answer; p-valueDoes X appear to be an effective predictor of the response variable Y?Choose the answer from the menu; Is the model effective? YesNo
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