Below is the output from regression.  Use the p-value and decide if the equation is good to use for forecasting.    Group of answer choices A.) p-value = 82 - equation is good to use B.) p-value = 0.15 - equation is not good to use C.) p-value = 0.18 - equation is not good to use D.) p-value = -16 - equation is good to use

MATLAB: An Introduction with Applications
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Author:Amos Gilat
Publisher:Amos Gilat
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Below is the output from regression.  Use the p-value and decide if the equation is good to use for forecasting.

  

Group of answer choices
A.) p-value = 82 - equation is good to use
B.) p-value = 0.15 - equation is not good to use
C.) p-value = 0.18 - equation is not good to use
D.) p-value = -16 - equation is good to use
**Summary Output**

**Regression Statistics:**
- **Multiple R:** 0.413378739
- **R Square:** 0.170881981
- **Adjusted R Square:** 0.08797018
- **Standard Error:** 1.252363732
- **Observations:** 12

**ANOVA:**
- **Regression:**
  - **df:** 1
  - **SS:** 3.232517
  - **MS:** 3.232517
  - **F:** 2.061009
  - **Significance F:** 0.181642
- **Residual:**
  - **df:** 10
  - **SS:** 15.68415
  - **MS:** 1.568415
- **Total:**
  - **df:** 11
  - **SS:** 18.91667

**Coefficients:**
- **Intercept:**
  - **Coefficient:** 82.10606061
  - **Standard Error:** 0.770771
  - **t Stat:** 106.5238
  - **P-value:** 1.3E-16
  - **Lower 95%:** 80.38866
  - **Upper 95%:** 83.82346

- **X Variable:**
  - **Coefficient:** 0.15034965
  - **Standard Error:** 0.104728
  - **t Stat:** 1.435622
  - **P-value:** 0.181642
  - **Lower 95%:** -0.083
  - **Upper 95%:** 0.383698

**Explanation:**
- **Multiple R** is a measure of the strength of the association between the observed and modelled values of the dependent variable.
- **R Square** indicates the proportion of variance in the dependent variable that can be explained by the independent variable.
- **ANOVA (Analysis of Variance)** provides a statistical test of whether the means of several groups are equal.
- **Coefficients** give the expected change in the dependent variable for a one-unit change in the independent variable, holding other variables constant. In this case, the Intercept is the constant term and the X Variable represents the slope of the regression line.

This data provides insights into the regression model's fit and the statistical significance
Transcribed Image Text:**Summary Output** **Regression Statistics:** - **Multiple R:** 0.413378739 - **R Square:** 0.170881981 - **Adjusted R Square:** 0.08797018 - **Standard Error:** 1.252363732 - **Observations:** 12 **ANOVA:** - **Regression:** - **df:** 1 - **SS:** 3.232517 - **MS:** 3.232517 - **F:** 2.061009 - **Significance F:** 0.181642 - **Residual:** - **df:** 10 - **SS:** 15.68415 - **MS:** 1.568415 - **Total:** - **df:** 11 - **SS:** 18.91667 **Coefficients:** - **Intercept:** - **Coefficient:** 82.10606061 - **Standard Error:** 0.770771 - **t Stat:** 106.5238 - **P-value:** 1.3E-16 - **Lower 95%:** 80.38866 - **Upper 95%:** 83.82346 - **X Variable:** - **Coefficient:** 0.15034965 - **Standard Error:** 0.104728 - **t Stat:** 1.435622 - **P-value:** 0.181642 - **Lower 95%:** -0.083 - **Upper 95%:** 0.383698 **Explanation:** - **Multiple R** is a measure of the strength of the association between the observed and modelled values of the dependent variable. - **R Square** indicates the proportion of variance in the dependent variable that can be explained by the independent variable. - **ANOVA (Analysis of Variance)** provides a statistical test of whether the means of several groups are equal. - **Coefficients** give the expected change in the dependent variable for a one-unit change in the independent variable, holding other variables constant. In this case, the Intercept is the constant term and the X Variable represents the slope of the regression line. This data provides insights into the regression model's fit and the statistical significance
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y= 82.1061+ 0.1503 x

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