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How do I do slope

How do I do slope

MATLAB: An Introduction with Applications
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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How do I do slope

### Interpreting Fitted Models #### Understanding the Scatter Plot The scatter plot depicted in this section illustrates the relationship between the amount of rain received in a year and the average diameter of a specific fruit in an orchard. The horizontal axis represents the amount of rain (in inches), while the vertical axis shows the diameter of the fruit (in centimeters). #### Key Elements of the Graph: - **Data Points:** Numerous blue dots scattered across the plot represent individual data observations, showing how fruit diameter varies with rainfall. - **Trend Line:** A fitted line has been drawn through the data points to indicate the general trend or relationship. #### Linear Regression Details: - **Slope of the Line:** The slope is indicated as 0.2. This suggests that for every additional inch of rain, the diameter of the fruit increases by 0.2 centimeters. - **Intercept of the Line:** The intercept is stated as 5. This is the predicted fruit diameter when the amount of rain is zero. - **Regression Equation:** The equation for the regression line is \( \hat{Y} = 0.2X + 5 \). Here, \( \hat{Y} \) represents the predicted diameter of the fruit, and \( X \) represents the inches of rain. This model helps in predicting the diameter of the fruit based on the amount of rain received, providing valuable insights for agricultural planning and resource allocation. #### Interactive Component: The section likely includes an interactive element where students can input values and test their understanding of slope, intercept, and prediction using the "Check" button.
Transcribed Image Text:### Interpreting Fitted Models #### Understanding the Scatter Plot The scatter plot depicted in this section illustrates the relationship between the amount of rain received in a year and the average diameter of a specific fruit in an orchard. The horizontal axis represents the amount of rain (in inches), while the vertical axis shows the diameter of the fruit (in centimeters). #### Key Elements of the Graph: - **Data Points:** Numerous blue dots scattered across the plot represent individual data observations, showing how fruit diameter varies with rainfall. - **Trend Line:** A fitted line has been drawn through the data points to indicate the general trend or relationship. #### Linear Regression Details: - **Slope of the Line:** The slope is indicated as 0.2. This suggests that for every additional inch of rain, the diameter of the fruit increases by 0.2 centimeters. - **Intercept of the Line:** The intercept is stated as 5. This is the predicted fruit diameter when the amount of rain is zero. - **Regression Equation:** The equation for the regression line is \( \hat{Y} = 0.2X + 5 \). Here, \( \hat{Y} \) represents the predicted diameter of the fruit, and \( X \) represents the inches of rain. This model helps in predicting the diameter of the fruit based on the amount of rain received, providing valuable insights for agricultural planning and resource allocation. #### Interactive Component: The section likely includes an interactive element where students can input values and test their understanding of slope, intercept, and prediction using the "Check" button.
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