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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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**Analysis of Annual High Temperatures Using Regression**

In this analysis, we track annual high temperatures over several years at a particular location. Let \( X \) represent the year and \( Y \) the high temperature. Based on the provided data, we aim to calculate the regression line. Ensure each value in your calculations is accurate to at least two decimal places.

### Regression Equation

The regression line can be expressed in the form:

\[
\hat{y} = \text{(intercept)} + (\text{slope})x
\]

### Data Table

Below is the data collected for analysis:

| Year (\( x \)) | High Temperature (\( y \)) |
|----------------|-----------------------------|
| 4 | 13.9 |
| 5 | 17.6 |
| 6 | 19.8 |
| 7 | 20.2 |
| 8 | 24.3 |
| 9 | 26.1 |
| 10 | 29.6 |
| 11 | 31.8 |
| 12 | 35.4 |

### Instructions

- Using the table, perform calculations to determine the slope and intercept for the regression line.
- Apply these values to complete the regression equation provided above.

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