Table 1: Bivariate Correlations for the following variables: income, number of siblings, education, age, white, black and gender (1)rincome 1.00 (2)sibs (3)edu (4)age (5)white (6)black (1) (8)male Mean -0.06 0.30 0.16 0.12 (7)female -0.21 -0.12 0.21 13.91 Standard Dev. 5.63 (2) 1.00 -0.21 0.09 -0.27 0.27 0.02 -0.02 3.505 2.927 (3) 1.00 0.05 0.12 -0.12 0.02 -0.02 13.39 2.93 (4) 1.00 0.12 -0.12 -0.03 0.03 47.12 17.50 (5) 1.00 -1.00 -0.07 0.07 .84 .37 (6) 1.00 .07 -.07 .16 .37 (7) 1.00 -1.00 .56 .50 (8) 1.00 .44 .50 Note: rincome is respondent's income, sibs is respondent's number of siblings, age represents respondent's age, white, and black are respondent's races and gender is represented by male and female. Deduce appropriate hypotheses from the correlation matrix in Table 1 above: i. There is a negative correlation between family size and income. ii. Income is positively correlated with education. iii. Income is positively correlated with age. iv. Income is positively correlated with white race. v. The black race is negatively correlated with income. vi. Income is negatively correlated with females. vii. Income is positively correlated with males.

Identify the linear correlation coefficient r , test statistics and pvalue. thank you

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