Annual high temperatures in a certain location have been tracked for several years. Let and Y the high temperature. Based on the data shown below, calculate the regression line (each value to two decimal places). y = X + 17.36 4. 17.88 18.6 6. 23.12 7 24.04 8 24.46 9. 25.68 10 29.7 11 31.62
Annual high temperatures in a certain location have been tracked for several years. Let and Y the high temperature. Based on the data shown below, calculate the regression line (each value to two decimal places). y = X + 17.36 4. 17.88 18.6 6. 23.12 7 24.04 8 24.46 9. 25.68 10 29.7 11 31.62
MATLAB: An Introduction with Applications
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Chapter1: Starting With Matlab
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![**Annual High Temperatures Regression Analysis**
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).
\[ y = \Box \times + \Box \]
**Data Table:**
| \( x \) | \( y \) |
|--------|--------|
| 3 | 17.36 |
| 4 | 17.88 |
| 5 | 18.6 |
| 6 | 23.12 |
| 7 | 24.04 |
| 8 | 24.46 |
| 9 | 25.68 |
| 10 | 29.7 |
| 11 | 31.62 |
**Instructions:**
To find the regression line, use the given data points to determine the best-fit line equation. This typically involves calculating the slope (\( m \)) and the y-intercept (\( b \)) using statistical formulas. Once determined, input your results in the equation format \( y = mx + b \).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0f725b05-6985-474e-a031-937034e54c0f%2F6f1e0fd3-4cab-4117-b8c7-8195516cfeb8%2F87cpiuf_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Annual High Temperatures Regression Analysis**
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).
\[ y = \Box \times + \Box \]
**Data Table:**
| \( x \) | \( y \) |
|--------|--------|
| 3 | 17.36 |
| 4 | 17.88 |
| 5 | 18.6 |
| 6 | 23.12 |
| 7 | 24.04 |
| 8 | 24.46 |
| 9 | 25.68 |
| 10 | 29.7 |
| 11 | 31.62 |
**Instructions:**
To find the regression line, use the given data points to determine the best-fit line equation. This typically involves calculating the slope (\( m \)) and the y-intercept (\( b \)) using statistical formulas. Once determined, input your results in the equation format \( y = mx + b \).
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