Using any goodness of fit method, how would you determine which function is the best fit for the data? How would you use a spreadsheet to calculate the goodness of fit with using one of the inbuilt functions while providing a new column for each step?
Using any goodness of fit method, how would you determine which function is the best fit for the data? How would you use a spreadsheet to calculate the goodness of fit with using one of the inbuilt functions while providing a new column for each step?
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Using any goodness of fit method, how would you determine which function is the best fit for the data? How would you use a spreadsheet to calculate the goodness of fit with using one of the inbuilt functions while providing a new column for each step?
Transcribed Image Text:### Linear Fit Analysis
This data set is analyzed using two different linear regression models to understand the relationship between the variables \(x\) and \(y\).
#### Linear Fit Equations
- **Fit 1:** \(y = 6.5x + 3\)
- **Fit 2:** \(y = 4.5x + 5\)
#### Data Points
| \(x\) | \(y\) |
|------|------|
| 4 | 35 |
| 11 | 68 |
| 14 | 102 |
| 19 | 130 |
| 26 | 171 |
| 32 | 200 |
| 37 | 230 |
| 42 | 259 |
| 43 | 298 |
| 48 | 325 |
### Explanation
- **Fit 1** suggests a steeper slope compared to **Fit 2**, indicating that for each unit increase in \(x\), \(y\) increases more significantly with the first equation.
- The constants (+3 for Fit 1 and +5 for Fit 2) represent the \(y\)-intercepts, showing where the line intersects the \(y\)-axis when \(x = 0\).
- The data points listed provide values for \(x\) and \(y\) that can be used to compare which fit better represents the trend observed.
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