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Correlation
The correlation is commonly used and a useful statistic used to describe the degree of the relationships between two or more variables. Pearson's correlation reflects the degree of linear relationship between X variables which are independent and a Y variable which is independent and it ranges from positive 1 to negative 1 (+1 to -1). Below are statistics I have managed to gather which shows the relationship between the variables of wfood, totexp, income, age, nk.
The Null Hypothesis - H0: Correlation has risen by chance i.e. r = 0
The Alternative Hypothesis - H1: Correlation has not risen by chance i.e. r ≠ 0
*Exception: Reject H0 when P-value ≤ α = 0.05
Correlations: wfood, totexp, income, age, nk
wfood totexp income age
totexp -0.479 0.000
income -0.235 0.449
0.000 0.000
age 0.021 0.189 0.218
0.405 0.000 0.000
nk 0.102 0.071 0.025 0.008
0.000 0.005 0.322 0.753
Cell Contents: Pearson correlation
P-Value
The Null Hypothesis - H0: β0 = 0, H0: β 1 = 0, H0: β 2 = 0, Β i = 0 The Alternative Hypothesis - H1: β0 ≠ 0, H0: β 1 ≠ 0, H0: β 2 ≠ 0, Β i ≠ 0 i =0, 1, 2, 3
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