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 correlation coefficient (to three decimal places) between X and Y. Use your calculator! 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= ( ? )
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 correlation coefficient (to three decimal places) between X and Y. Use your calculator! 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= ( ? )
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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Question
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
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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