MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Below the Regression Equation, identify its slope and the y-intercept. 

 Write the interpretation of the slope of the line of regression

### Fitted Line Plot Analysis

#### Description

This graph is a fitted line plot, illustrating the relationship between Predicted GPA and College GPA.

#### Details:

- **X-Axis (Horizontal):** Predicted GPA
- **Y-Axis (Vertical):** College GPA

#### Data Points:

Each blue dot on the graph represents an individual data point, plotting a Predicted GPA against a corresponding College GPA.

#### Fitted Line:

A red line is shown on the plot, representing the best fit line calculated through linear regression. This line provides a visual representation of the average trend in the data.

#### Regression Equation:

The equation for the line is:
\[ \text{College GPA} = -0.006 + 1.021 \times \text{Predicted GPA} \]

This equation suggests that for every one unit increase in Predicted GPA, College GPA increases by approximately 1.021.

#### Statistical Information:

- **S (Standard Error):** 0.400783
- **R-Squared (R-Sq):** 16.0% 
- **Adjusted R-Squared (R-Sq(adj)):** 13.0%

These statistics indicate the fit of the regression line to the data. An R-Squared value of 16% signifies that 16% of the variation in College GPA is explained by the Predicted GPA.

This analysis can be helpful for educational insights into how well predicted performance aligns with actual academic outcomes.
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Transcribed Image Text:### Fitted Line Plot Analysis #### Description This graph is a fitted line plot, illustrating the relationship between Predicted GPA and College GPA. #### Details: - **X-Axis (Horizontal):** Predicted GPA - **Y-Axis (Vertical):** College GPA #### Data Points: Each blue dot on the graph represents an individual data point, plotting a Predicted GPA against a corresponding College GPA. #### Fitted Line: A red line is shown on the plot, representing the best fit line calculated through linear regression. This line provides a visual representation of the average trend in the data. #### Regression Equation: The equation for the line is: \[ \text{College GPA} = -0.006 + 1.021 \times \text{Predicted GPA} \] This equation suggests that for every one unit increase in Predicted GPA, College GPA increases by approximately 1.021. #### Statistical Information: - **S (Standard Error):** 0.400783 - **R-Squared (R-Sq):** 16.0% - **Adjusted R-Squared (R-Sq(adj)):** 13.0% These statistics indicate the fit of the regression line to the data. An R-Squared value of 16% signifies that 16% of the variation in College GPA is explained by the Predicted GPA. This analysis can be helpful for educational insights into how well predicted performance aligns with actual academic outcomes.
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More information on the regression equation that is presented

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Can the regression equation reasonably be used to make predictions 

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More information on the regression equation that is presented

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