MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Annual high temperatures in a certain location have been tracked for several years. Let XX represent the year and YY the high temperature. Based on the data shown below, calculate the
| x | y |
|---|---|
| 1 | 17.06 |
| 2 | 16.22 |
| 3 | 17.58 |
| 4 | 15.94 |
| 5 | 17.4 |
| 6 | 19.16 |
| 7 | 18.82 |
| 8 | 19.28 |
| 9 | 19.54 |
| 10 | 20.1 |
| 11 | 18.06 |
r= ( ? )
Expert Solution
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Step 1
using given data;
| x | y | x^2 | y^2 | x*y |
| 1 | 17.06 | 1 | 291.0436 | 17.06 |
| 2 | 16.22 | 4 | 263.0884 | 32.44 |
| 3 | 17.58 | 9 | 309.0564 | 52.74 |
| 4 | 15.94 | 16 | 254.0836 | 63.76 |
| 5 | 17.4 | 25 | 302.76 | 87 |
| 6 | 19.16 | 36 | 367.1056 | 114.96 |
| 7 | 18.82 | 49 | 354.1924 | 131.74 |
| 8 | 19.28 | 64 | 371.7184 | 154.24 |
| 9 | 19.54 | 81 | 381.8116 | 175.86 |
| 10 | 20.1 | 100 | 404.01 | 201 |
| 11 | 18.06 | 121 | 326.1636 | 198.66 |
| --- | --- | --- | --- | --- |
| ∑x=66 | ∑y=199.16 | ∑x^2=506 | ∑y^2=3625.0336 | ∑x*y=1229.46 |
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