(Please answer step-by-step. Typed work preferable.) 1. The following matrix displays the bivariate correlations between family size (X),...

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(Please answer step-by-step. Typedwork preferable.)
1. The following matrix displaysthe bivariate correlations between family size (X), weekly grocerybill (Y), and income (Z) for a random sample of 50 families.
X Y Z
X 1.00 0.60 0.20
Y 0.60 1.00 0.30
Z 0.20 0.30 1.00
a. First, list the values of the 3 unique correlations,identifying the two variables in each correlation in some way.(r_xy = ?; r_xz = ? r_yz = ?)
b. Which of the correlations is statistically significant at the.05 level? Be sure to record the information on which you basethese conclusions. (This implies you will need to perform ahypothesis test assessing whether each correlation is large enoughto suggest that a real association exists in the population fromwhich the sample was drawn.)

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4.1 Ratings (636 Votes)

aiFrom the given Table the correlation coefficient between x andy rxy is given byrxy 060iiFrom the given Table the correlation coefficient between x andz rxz is given byrxz 020iiiFrom the given Table the correlation coefficient between y andz ryz is given byryz 030biHypothesis Test for assessing whether correlation betweenx and y given by rxy 060 is largeenough to suggest that a real association exists in the populationfrom which the sample was drawnH0 Null Hypothesis 0 A realassociation does not exist in the population from See Answer

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