Annual high temperatures in a certain location have been tracked for several years. Let X represent the year and Y the high temperature. Based on the data shown below, calculate the regression line (each value to two decimal places). y = X + y 2 6.53 3.04 4 6.25 3.06 6. 6.17 7 3.58 8 3.49 6. 3.1
Annual high temperatures in a certain location have been tracked for several years. Let X represent the year and Y the high temperature. Based on the data shown below, calculate the regression line (each value to two decimal places). y = X + y 2 6.53 3.04 4 6.25 3.06 6. 6.17 7 3.58 8 3.49 6. 3.1
MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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Problem 1P
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Transcribed Image Text:**Title: Calculating the Regression Line for Annual High Temperatures**
**Introduction:**
Annual high temperatures in a certain location have been tracked for several years. Let \( X \) represent the year and \( Y \) the high temperature. Based on the data shown below, calculate the regression line (each value to two decimal places).
**Data Table:**
| \( x \) | \( y \) |
|---------|----------|
| 2 | 6.53 |
| 3 | 3.04 |
| 4 | 6.25 |
| 5 | 3.06 |
| 6 | 6.17 |
| 7 | 3.58 |
| 8 | 3.49 |
| 9 | 3.10 |
**Task:**
Determine the equation of the regression line in the form \( y = mx + b \).
**Note:**
It involves calculating the slope (\( m \)) and y-intercept (\( b \)) using statistical methods such as least squares. The values should be rounded to two decimal places.
**Conclusion:**
This exercise helps in understanding the relationship between the year and the recorded high temperature, allowing for prediction and analysis of trends over time.
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