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
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
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc472803f-a5f2-4101-91b0-8fdf27ba19f2%2Ff7f57e6d-42c6-4df9-9de7-8db28b370ff8%2Fbmylnxq_processed.png&w=3840&q=75)
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
Expert Solution
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From the output
y= 82.1061+ 0.1503 x
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