Compute the correlation coefficient of the following data x

Compute the correlation coefficient of the following data:

x y   

1 2

0 2

2 4

5 8

Solution

r = 0.981981

SUMMARY OUTPUT
Regression Statistics
Multiple R 0.981981
R Square 0.964286
Adjusted R Square 0.946429
Standard Error 0.5
Observations 4
ANOVA
df SS MS F Significance F
Regression 1 13.5 13.5 54 0.018019
Residual 2 0.5 0.25
Total 3 14
Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Lower 95.0% Upper 95.0%
Intercept -1 0.478714 -2.08893 0.171921 -3.05974 1.059738 -3.05974 1.059738
X Variable 1 0.75 0.102062 7.348469 0.018019 0.310862 1.189138 0.310862 1.189138
Compute the correlation coefficient of the following data: x y 1 2 0 2 2 4 5 8Solutionr = 0.981981 SUMMARY OUTPUT Regression Statistics Multiple R 0.981981 R Sq

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