Pearson Product Moment Correlation - Ungrouped Data
StatisticVariable XVariable Y
Mean3.951219512195124.20731707317073
Biased Variance0.3634741225461040.396044021415824
Biased Standard Deviation0.6028881509418670.629320285241008
Covariance0.169684273529852
Correlation0.444505225245189
Determination0.197584895270276
T-Test6.3158939646872
p-value (2 sided)2.48197215390899e-09
p-value (1 sided)1.2409860769545e-09
95% CI of Correlation[0.312546094251874, 0.559632722186043]
Degrees of Freedom162
Number of Observations164


Normality Tests
> jarque.x
	Jarque-Bera Normality Test
data:  x
JB = 32.038, p-value = 1.104e-07
alternative hypothesis: greater

> jarque.y
	Jarque-Bera Normality Test
data:  y
JB = 3.1583, p-value = 0.2061
alternative hypothesis: greater

> ad.x
	Anderson-Darling normality test
data:  x
A = 22.634, p-value < 2.2e-16

> ad.y
	Anderson-Darling normality test
data:  y
A = 17.617, p-value < 2.2e-16