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Based on the data shown below, calculate the correlation coefficient (rounded to three decimal places) X 2 3 456 7 8 9 10 y 18.04 17.76 18.38 21.8 21.12 22.84 25.66 28.48 27.1

Based on the data shown below, calculate the correlation coefficient (rounded to three decimal places) X 2 3 456 7 8 9 10 y 18.04 17.76 18.38 21.8 21.12 22.84 25.66 28.48 27.1

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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Based on the data shown below, calculate the correlation coefficient (rounded to three decimal places). | x | y | |----|------| | 2 | 18.04| | 3 | 17.76| | 4 | 18.38| | 5 | 21.8 | | 6 | 21.12| | 7 | 22.84| | 8 | 25.66| | 9 | 28.48| | 10 | 27.1 | This table lists pairs of values for variables x and y. To find the correlation coefficient, apply statistical methods to measure the strength and direction of a linear relationship between these two variables.
Transcribed Image Text:Based on the data shown below, calculate the correlation coefficient (rounded to three decimal places). | x | y | |----|------| | 2 | 18.04| | 3 | 17.76| | 4 | 18.38| | 5 | 21.8 | | 6 | 21.12| | 7 | 22.84| | 8 | 25.66| | 9 | 28.48| | 10 | 27.1 | This table lists pairs of values for variables x and y. To find the correlation coefficient, apply statistical methods to measure the strength and direction of a linear relationship between these two variables.
Expert Solution
Step 1: Given data :
XYX.YX2Y2
218.0436.084325.4416
317.7653.289315.4176
418.3873.5216337.8244
521.810925475.24
621.12126.7236446.0544
722.84159.8849521.6656
825.66205.2864658.4356
928.48256.3281811.1104
1027.1271100734.41
sum for blank of straight X equals 54
sum for blank of straight Y equals 201.18
sum for blank of XY equals 1291.08
sum for blank of straight X squared equals 384
sum for blank of straight Y squared equals 4625.5996
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